Durango Bill's
"Pig (Pig-out)" Analysis
Probability of Reaching 100 in "N" Turns and Optimal Strategy
for the Dice Game "Pig" (also called Pig-out)
(Lose turn score on single "6". Lose total score on double 6's.)
Statistics for
the Dice Game of Pig (Pig-Out) (Pig on 6's)
This table shows the probability (in percent) of reaching
100 or more in "N" turns if using Optimal Strategy.
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 69.4 88.7 94.1 95.6 96.0 96.2 96.3 96.3 96.4 96.5 96.7 96.8 97.0 97.2 97.3
98 69.4 88.7 94.1 95.6 96.0 96.2 96.3 96.3 96.4 96.5 96.7 96.8 97.0 97.2 97.3
97 68.6 88.2 93.8 95.4 95.9 96.0 96.1 96.2 96.3 96.4 96.5 96.7 96.9 97.1 97.2
96 66.9 87.0 93.1 94.9 95.5 95.7 95.8 95.9 96.0 96.1 96.3 96.4 96.6 96.8 97.0
95 64.3 85.2 92.0 94.2 94.9 95.2 95.4 95.5 95.6 95.7 95.9 96.0 96.2 96.5 96.7
94 60.8 82.5 90.2 93.0 94.1 94.5 94.7 94.9 95.0 95.1 95.3 95.5 95.7 96.0 96.2
93 56.4 78.7 87.6 91.2 92.9 93.6 93.9 94.1 94.2 94.4 94.6 94.8 95.1 95.3 95.6
92 52.5 75.2 85.0 89.7 91.8 92.8 93.1 93.4 93.5 93.7 93.9 94.2 94.5 94.7 95.1
91 49.1 71.8 82.4 88.1 90.8 91.9 92.4 92.7 92.9 93.1 93.3 93.6 93.9 94.2 94.6
90 46.1 68.7 79.9 86.5 89.8 91.1 91.8 92.1 92.3 92.5 92.8 93.1 93.4 93.7 94.1
89 43.6 66.0 77.7 85.1 88.7 90.3 91.1 91.5 91.7 92.0 92.2 92.5 92.9 93.2 93.6
88 41.6 63.6 75.9 83.6 87.6 89.5 90.4 90.9 91.2 91.5 91.8 92.1 92.4 92.8 93.2
87 39.3 61.0 73.7 81.9 86.3 88.5 89.7 90.3 90.6 90.9 91.2 91.5 91.9 92.3 92.7
86 36.9 58.1 71.3 80.0 84.9 87.5 88.8 89.6 90.0 90.3 90.6 91.0 91.4 91.8 92.2
85 34.7 55.3 68.9 78.1 83.4 86.4 88.0 88.8 89.3 89.7 90.0 90.4 90.8 91.3 91.7
84 32.6 52.6 66.5 76.1 81.8 85.2 87.1 88.1 88.7 89.1 89.5 89.8 90.3 90.7 91.2
83 30.7 50.0 64.1 74.1 80.3 84.0 86.2 87.3 88.0 88.5 88.9 89.3 89.7 90.2 90.7
82 28.9 47.6 61.9 72.1 78.7 82.8 85.2 86.6 87.4 87.9 88.3 88.8 89.2 89.7 90.3
81 27.3 45.3 59.6 70.1 77.1 81.6 84.3 85.8 86.7 87.3 87.8 88.2 88.7 89.2 89.8
80 25.7 43.1 57.3 68.1 75.5 80.3 83.2 84.9 86.0 86.7 87.2 87.7 88.2 88.7 89.3
79 24.3 41.0 55.1 66.0 73.8 78.9 82.1 84.1 85.3 86.0 86.6 87.1 87.6 88.2 88.8
78 22.8 38.9 52.8 63.9 72.0 77.5 81.0 83.2 84.5 85.4 86.0 86.6 87.1 87.7 88.3
77 21.5 36.9 50.6 61.8 70.2 76.0 79.8 82.2 83.7 84.7 85.4 86.0 86.6 87.2 87.8
76 20.2 34.9 48.5 59.7 68.4 74.6 78.6 81.3 82.9 84.0 84.8 85.4 86.0 86.6 87.3
75 19.1 33.1 46.4 57.7 66.6 73.1 77.4 80.3 82.1 83.3 84.2 84.8 85.5 86.1 86.8
74 18.0 31.4 44.4 55.7 64.9 71.5 76.2 79.2 81.3 82.6 83.5 84.3 84.9 85.6 86.3
73 16.9 29.8 42.5 53.7 63.1 70.0 74.9 78.2 80.4 81.9 82.9 83.7 84.4 85.1 85.8
72 16.0 28.2 40.6 51.8 61.3 68.4 73.6 77.1 79.5 81.1 82.2 83.1 83.8 84.6 85.3
71 15.0 26.7 38.7 49.9 59.5 66.8 72.2 76.0 78.6 80.3 81.6 82.5 83.3 84.0 84.8
70 14.2 25.2 37.0 48.0 57.7 65.2 70.9 74.9 77.6 79.5 80.9 81.9 82.7 83.5 84.3
69 13.3 23.9 35.2 46.2 55.9 63.6 69.5 73.7 76.6 78.7 80.2 81.3 82.2 83.0 83.8
68 12.6 22.6 33.6 44.4 54.1 62.0 68.1 72.5 75.6 77.9 79.4 80.6 81.6 82.5 83.3
67 11.8 21.4 32.0 42.6 52.4 60.4 66.7 71.3 74.6 77.0 78.7 80.0 81.0 81.9 82.8
66 11.2 20.2 30.5 40.9 50.6 58.8 65.2 70.1 73.6 76.1 78.0 79.3 80.4 81.4 82.3
65 10.5 19.1 29.0 39.3 48.9 57.2 63.8 68.8 72.5 75.2 77.2 78.7 79.8 80.8 81.8
64 9.9 18.0 27.6 37.7 47.2 55.5 62.3 67.5 71.4 74.3 76.4 78.0 79.2 80.3 81.3
63 9.3 17.0 26.3 36.1 45.6 53.9 60.9 66.3 70.3 73.4 75.6 77.3 78.6 79.7 80.7
62 8.8 16.1 25.0 34.6 43.9 52.3 59.4 65.0 69.2 72.4 74.8 76.6 78.0 79.2 80.2
61 8.3 15.2 23.8 33.1 42.3 50.8 57.9 63.7 68.1 71.4 73.9 75.8 77.3 78.6 79.7
60 7.8 14.4 22.6 31.7 40.8 49.2 56.5 62.3 66.9 70.4 73.1 75.1 76.7 78.0 79.2
59 7.4 13.6 21.4 30.3 39.3 47.7 55.0 61.0 65.8 69.4 72.2 74.3 76.0 77.4 78.6
58 6.9 12.8 20.4 29.0 37.8 46.1 53.5 59.7 64.6 68.4 71.3 73.6 75.4 76.8 78.1
57 6.5 12.1 19.3 27.7 36.3 44.6 52.1 58.3 63.4 67.4 70.4 72.8 74.7 76.2 77.5
56 6.2 11.4 18.3 26.4 34.9 43.1 50.6 57.0 62.2 66.3 69.5 72.0 74.0 75.6 77.0
55 5.8 10.8 17.4 25.2 33.5 41.7 49.2 55.7 61.0 65.3 68.6 71.2 73.3 75.0 76.4
54 5.5 10.2 16.5 24.1 32.2 40.3 47.8 54.3 59.8 64.2 67.7 70.4 72.6 74.3 75.9
53 5.1 9.6 15.7 23.0 30.9 38.9 46.4 53.0 58.6 63.1 66.7 69.6 71.8 73.7 75.3
52 4.8 9.1 14.8 21.9 29.6 37.5 45.0 51.7 57.3 62.0 65.7 68.7 71.1 73.1 74.7
51 4.6 8.5 14.1 20.9 28.4 36.2 43.6 50.3 56.1 60.9 64.8 67.9 70.4 72.4 74.1
50 4.3 8.1 13.3 19.9 27.2 34.9 42.3 49.0 54.9 59.8 63.8 67.0 69.6 71.7 73.5
49 4.1 7.6 12.6 18.9 26.1 33.6 40.9 47.7 53.6 58.7 62.8 66.1 68.8 71.1 72.9
48 3.8 7.2 12.0 18.0 25.0 32.3 39.6 46.4 52.4 57.5 61.8 65.2 68.1 70.4 72.3
47 3.6 6.8 11.3 17.2 23.9 31.1 38.3 45.1 51.2 56.4 60.7 64.3 67.3 69.7 71.7
46 3.4 6.4 10.7 16.3 22.9 29.9 37.1 43.8 50.0 55.3 59.7 63.4 66.5 69.0 71.1
45 3.2 6.0 10.2 15.5 21.9 28.8 35.8 42.6 48.8 54.1 58.7 62.5 65.6 68.3 70.5
44 3.0 5.7 9.6 14.8 20.9 27.7 34.6 41.3 47.5 53.0 57.7 61.6 64.8 67.5 69.8
43 2.8 5.4 9.1 14.1 20.0 26.6 33.4 40.1 46.3 51.9 56.6 60.6 64.0 66.8 69.2
42 2.7 5.1 8.6 13.4 19.1 25.6 32.3 38.9 45.1 50.7 55.6 59.7 63.2 66.1 68.5
41 2.5 4.8 8.2 12.7 18.3 24.5 31.2 37.7 44.0 49.6 54.5 58.8 62.3 65.3 67.8
40 2.4 4.5 7.7 12.1 17.4 23.6 30.0 36.6 42.8 48.5 53.5 57.8 61.5 64.6 67.2
39 2.2 4.2 7.3 11.5 16.7 22.6 29.0 35.4 41.6 47.4 52.4 56.8 60.6 63.8 66.5
38 2.1 4.0 6.9 10.9 15.9 21.7 27.9 34.3 40.5 46.2 51.4 55.9 59.7 63.0 65.8
37 2.0 3.8 6.5 10.4 15.2 20.8 26.9 33.2 39.4 45.1 50.3 54.9 58.9 62.2 65.1
36 1.9 3.6 6.2 9.8 14.5 19.9 25.9 32.1 38.3 44.0 49.3 54.0 58.0 61.5 64.4
35 1.8 3.4 5.9 9.3 13.8 19.1 24.9 31.1 37.2 43.0 48.3 53.0 57.1 60.7 63.7
34 1.7 3.2 5.5 8.9 13.2 18.3 24.0 30.0 36.1 41.9 47.2 52.0 56.2 59.9 63.0
33 1.6 3.0 5.2 8.4 12.5 17.5 23.1 29.0 35.0 40.8 46.2 51.0 55.3 59.1 62.3
32 1.5 2.8 4.9 8.0 12.0 16.8 22.2 28.0 34.0 39.8 45.2 50.1 54.4 58.2 61.6
31 1.4 2.6 4.7 7.6 11.4 16.0 21.4 27.1 33.0 38.7 44.1 49.1 53.5 57.4 60.8
30 1.3 2.5 4.4 7.2 10.9 15.4 20.5 26.2 32.0 37.7 43.1 48.1 52.6 56.6 60.1
29 1.2 2.4 4.2 6.8 10.3 14.7 19.7 25.2 31.0 36.7 42.1 47.2 51.7 55.8 59.3
28 1.2 2.2 4.0 6.5 9.9 14.1 19.0 24.4 30.0 35.7 41.1 46.2 50.8 55.0 58.6
27 1.1 2.1 3.7 6.1 9.4 13.4 18.2 23.5 29.1 34.7 40.1 45.3 49.9 54.1 57.8
26 1.0 2.0 3.5 5.8 8.9 12.8 17.5 22.7 28.1 33.7 39.2 44.3 49.0 53.3 57.1
25 1.0 1.9 3.3 5.5 8.5 12.3 16.8 21.8 27.2 32.8 38.2 43.4 48.1 52.5 56.3
24 0.9 1.8 3.2 5.2 8.1 11.7 16.1 21.0 26.4 31.8 37.3 42.4 47.2 51.6 55.5
23 0.9 1.7 3.0 5.0 7.7 11.2 15.4 20.3 25.5 30.9 36.3 41.5 46.4 50.8 54.8
22 0.8 1.6 2.8 4.7 7.3 10.7 14.8 19.5 24.7 30.0 35.4 40.6 45.5 50.0 54.0
21 0.8 1.5 2.7 4.5 7.0 10.2 14.2 18.8 23.9 29.1 34.5 39.7 44.6 49.1 53.2
20 0.7 1.4 2.5 4.2 6.6 9.8 13.6 18.1 23.1 28.3 33.6 38.8 43.7 48.3 52.5
19 0.7 1.3 2.4 4.0 6.3 9.3 13.1 17.4 22.3 27.4 32.7 37.9 42.8 47.5 51.7
18 0.6 1.2 2.3 3.8 6.0 8.9 12.5 16.8 21.5 26.6 31.8 37.0 42.0 46.6 50.9
17 0.6 1.2 2.1 3.6 5.7 8.5 12.0 16.1 20.8 25.8 31.0 36.1 41.1 45.8 50.1
16 0.6 1.1 2.0 3.4 5.4 8.1 11.5 15.5 20.1 25.0 30.1 35.3 40.3 45.0 49.4
15 0.5 1.0 1.9 3.2 5.2 7.8 11.0 14.9 19.4 24.2 29.3 34.4 39.4 44.2 48.6
14 0.5 1.0 1.8 3.1 4.9 7.4 10.6 14.4 18.7 23.5 28.5 33.6 38.6 43.4 47.8
13 0.5 0.9 1.7 2.9 4.7 7.1 10.1 13.8 18.1 22.8 27.7 32.8 37.8 42.5 47.1
12 0.4 0.9 1.6 2.8 4.4 6.7 9.7 13.3 17.4 22.0 26.9 32.0 36.9 41.7 46.3
11 0.4 0.8 1.5 2.6 4.2 6.4 9.3 12.8 16.8 21.4 26.2 31.2 36.1 41.0 45.5
10 0.4 0.8 1.4 2.5 4.0 6.1 8.9 12.3 16.2 20.7 25.4 30.4 35.3 40.2 44.8
9 0.4 0.7 1.4 2.4 3.8 5.9 8.5 11.8 15.7 20.0 24.7 29.6 34.5 39.4 44.0
8 0.4 0.7 1.3 2.2 3.6 5.6 8.2 11.3 15.1 19.4 24.0 28.9 33.8 38.6 43.3
7 0.3 0.7 1.2 2.1 3.5 5.3 7.8 10.9 14.6 18.8 23.3 28.1 33.0 37.8 42.5
6 0.3 0.6 1.2 2.0 3.3 5.1 7.5 10.5 14.1 18.2 22.6 27.4 32.3 37.1 41.8
5 0.3 0.6 1.1 1.9 3.1 4.9 7.2 10.1 13.6 17.6 22.0 26.7 31.5 36.3 41.0
4 0.3 0.5 1.0 1.8 3.0 4.6 6.9 9.7 13.1 17.0 21.3 26.0 30.8 35.6 40.3
3 0.3 0.5 1.0 1.7 2.8 4.4 6.6 9.3 12.6 16.4 20.7 25.3 30.1 34.9 39.6
2 0.2 0.5 0.9 1.6 2.7 4.2 6.3 8.9 12.2 15.9 20.1 24.6 29.4 34.2 38.9
1 0.2 0.5 0.9 1.5 2.6 4.0 6.0 8.6 11.7 15.4 19.5 24.0 28.7 33.4 38.2
0 0.2 0.4 0.8 1.5 2.4 3.9 5.8 8.3 11.3 14.9 18.9 23.4 28.0 32.8 37.5
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 97.5 97.7 97.9 98.0 98.2 98.3 98.4 98.6 98.7 98.7 98.8 98.9 99.0 99.1 99.1
98 97.5 97.7 97.9 98.0 98.2 98.3 98.4 98.6 98.7 98.7 98.8 98.9 99.0 99.1 99.1
97 97.4 97.6 97.8 98.0 98.1 98.2 98.4 98.5 98.6 98.7 98.8 98.9 98.9 99.0 99.1
96 97.2 97.4 97.6 97.8 98.0 98.1 98.2 98.4 98.5 98.6 98.7 98.8 98.9 98.9 99.0
95 96.9 97.1 97.3 97.5 97.7 97.9 98.0 98.2 98.3 98.4 98.5 98.6 98.7 98.8 98.9
94 96.5 96.7 96.9 97.2 97.4 97.6 97.8 97.9 98.1 98.2 98.3 98.4 98.6 98.6 98.7
93 95.9 96.2 96.5 96.7 97.0 97.2 97.4 97.6 97.8 97.9 98.1 98.2 98.3 98.4 98.5
92 95.4 95.7 96.0 96.3 96.6 96.8 97.1 97.3 97.5 97.7 97.8 98.0 98.1 98.2 98.4
91 94.9 95.3 95.6 95.9 96.2 96.5 96.8 97.0 97.2 97.4 97.6 97.8 97.9 98.1 98.2
90 94.5 94.8 95.2 95.6 95.9 96.2 96.5 96.7 97.0 97.2 97.4 97.6 97.7 97.9 98.0
89 94.0 94.4 94.8 95.2 95.6 95.9 96.2 96.5 96.7 97.0 97.2 97.4 97.6 97.7 97.9
88 93.6 94.1 94.5 94.9 95.3 95.6 95.9 96.2 96.5 96.8 97.0 97.2 97.4 97.6 97.7
87 93.2 93.6 94.1 94.5 94.9 95.3 95.6 96.0 96.3 96.5 96.8 97.0 97.2 97.4 97.6
86 92.7 93.2 93.7 94.1 94.6 95.0 95.3 95.7 96.0 96.3 96.5 96.8 97.0 97.2 97.4
85 92.2 92.7 93.2 93.7 94.2 94.6 95.0 95.4 95.7 96.0 96.3 96.6 96.8 97.0 97.2
84 91.8 92.3 92.8 93.3 93.8 94.3 94.7 95.1 95.4 95.8 96.1 96.3 96.6 96.8 97.0
83 91.3 91.9 92.4 92.9 93.5 93.9 94.4 94.8 95.2 95.5 95.8 96.1 96.4 96.6 96.9
82 90.8 91.4 92.0 92.6 93.1 93.6 94.1 94.5 94.9 95.3 95.6 95.9 96.2 96.5 96.7
81 90.4 91.0 91.6 92.2 92.7 93.3 93.8 94.2 94.7 95.0 95.4 95.7 96.0 96.3 96.5
80 89.9 90.5 91.2 91.8 92.4 92.9 93.5 93.9 94.4 94.8 95.2 95.5 95.8 96.1 96.4
79 89.4 90.1 90.7 91.4 92.0 92.6 93.1 93.6 94.1 94.5 94.9 95.3 95.6 95.9 96.2
78 89.0 89.6 90.3 91.0 91.6 92.2 92.8 93.3 93.8 94.3 94.7 95.0 95.4 95.7 96.0
77 88.5 89.2 89.9 90.6 91.2 91.9 92.5 93.0 93.5 94.0 94.4 94.8 95.2 95.5 95.8
76 88.0 88.7 89.4 90.2 90.9 91.5 92.1 92.7 93.3 93.7 94.2 94.6 95.0 95.3 95.6
75 87.5 88.3 89.0 89.8 90.5 91.2 91.8 92.4 93.0 93.5 93.9 94.4 94.8 95.1 95.5
74 87.1 87.8 88.6 89.4 90.1 90.8 91.5 92.1 92.7 93.2 93.7 94.1 94.5 94.9 95.3
73 86.6 87.4 88.2 88.9 89.7 90.5 91.1 91.8 92.4 92.9 93.4 93.9 94.3 94.7 95.1
72 86.1 86.9 87.7 88.5 89.3 90.1 90.8 91.5 92.1 92.7 93.2 93.7 94.1 94.5 94.9
71 85.6 86.4 87.3 88.1 88.9 89.7 90.5 91.2 91.8 92.4 92.9 93.4 93.9 94.3 94.7
70 85.1 86.0 86.8 87.7 88.6 89.4 90.1 90.8 91.5 92.1 92.7 93.2 93.7 94.1 94.5
69 84.7 85.5 86.4 87.3 88.2 89.0 89.8 90.5 91.2 91.8 92.4 93.0 93.5 93.9 94.3
68 84.2 85.1 86.0 86.9 87.8 88.6 89.4 90.2 90.9 91.6 92.2 92.7 93.2 93.7 94.1
67 83.7 84.6 85.5 86.5 87.4 88.3 89.1 89.9 90.6 91.3 91.9 92.5 93.0 93.5 94.0
66 83.2 84.1 85.1 86.0 87.0 87.9 88.7 89.6 90.3 91.0 91.7 92.3 92.8 93.3 93.8
65 82.7 83.7 84.6 85.6 86.6 87.5 88.4 89.2 90.0 90.7 91.4 92.0 92.6 93.1 93.6
64 82.2 83.2 84.2 85.2 86.2 87.1 88.0 88.9 89.7 90.5 91.1 91.8 92.3 92.9 93.4
63 81.7 82.7 83.8 84.8 85.8 86.8 87.7 88.6 89.4 90.2 90.9 91.5 92.1 92.7 93.2
62 81.3 82.3 83.3 84.4 85.4 86.4 87.3 88.2 89.1 89.9 90.6 91.3 91.9 92.5 93.0
61 80.8 81.8 82.9 83.9 85.0 86.0 87.0 87.9 88.8 89.6 90.3 91.0 91.7 92.2 92.8
60 80.3 81.3 82.4 83.5 84.6 85.6 86.6 87.6 88.5 89.3 90.1 90.8 91.4 92.0 92.6
59 79.8 80.9 82.0 83.1 84.2 85.3 86.3 87.3 88.2 89.0 89.8 90.5 91.2 91.8 92.4
58 79.3 80.4 81.5 82.7 83.8 84.9 85.9 86.9 87.9 88.7 89.5 90.3 91.0 91.6 92.2
57 78.8 79.9 81.1 82.2 83.4 84.5 85.6 86.6 87.5 88.4 89.3 90.0 90.7 91.4 92.0
56 78.2 79.5 80.6 81.8 83.0 84.1 85.2 86.2 87.2 88.1 89.0 89.8 90.5 91.2 91.8
55 77.7 79.0 80.2 81.4 82.6 83.7 84.8 85.9 86.9 87.8 88.7 89.5 90.3 90.9 91.6
54 77.2 78.5 79.7 81.0 82.2 83.4 84.5 85.6 86.6 87.5 88.4 89.3 90.0 90.7 91.4
53 76.7 78.0 79.3 80.5 81.8 83.0 84.1 85.2 86.3 87.2 88.2 89.0 89.8 90.5 91.2
52 76.2 77.5 78.8 80.1 81.4 82.6 83.8 84.9 86.0 87.0 87.9 88.7 89.5 90.3 91.0
51 75.6 77.0 78.4 79.7 81.0 82.2 83.4 84.6 85.6 86.7 87.6 88.5 89.3 90.0 90.7
50 75.1 76.6 77.9 79.3 80.6 81.8 83.0 84.2 85.3 86.4 87.3 88.2 89.1 89.8 90.5
49 74.6 76.1 77.5 78.8 80.1 81.4 82.7 83.9 85.0 86.1 87.0 88.0 88.8 89.6 90.3
48 74.0 75.6 77.0 78.4 79.7 81.1 82.3 83.5 84.7 85.8 86.8 87.7 88.6 89.4 90.1
47 73.5 75.1 76.5 78.0 79.3 80.7 82.0 83.2 84.4 85.5 86.5 87.4 88.3 89.1 89.9
46 72.9 74.6 76.1 77.5 78.9 80.3 81.6 82.8 84.0 85.1 86.2 87.2 88.1 88.9 89.7
45 72.4 74.0 75.6 77.1 78.5 79.9 81.2 82.5 83.7 84.8 85.9 86.9 87.8 88.7 89.5
44 71.8 73.5 75.1 76.6 78.1 79.5 80.9 82.2 83.4 84.5 85.6 86.6 87.6 88.5 89.3
43 71.2 73.0 74.7 76.2 77.7 79.1 80.5 81.8 83.1 84.2 85.3 86.4 87.3 88.2 89.0
42 70.6 72.5 74.2 75.8 77.3 78.7 80.1 81.5 82.7 83.9 85.1 86.1 87.1 88.0 88.8
41 70.0 71.9 73.7 75.3 76.9 78.3 79.8 81.1 82.4 83.6 84.8 85.8 86.8 87.8 88.6
40 69.4 71.4 73.2 74.9 76.4 77.9 79.4 80.8 82.1 83.3 84.5 85.6 86.6 87.5 88.4
39 68.8 70.9 72.7 74.4 76.0 77.6 79.0 80.4 81.8 83.0 84.2 85.3 86.3 87.3 88.2
38 68.2 70.3 72.2 74.0 75.6 77.2 78.6 80.1 81.4 82.7 83.9 85.0 86.1 87.1 88.0
37 67.6 69.8 71.7 73.5 75.2 76.8 78.3 79.7 81.1 82.4 83.6 84.8 85.8 86.8 87.7
36 67.0 69.2 71.2 73.0 74.8 76.4 77.9 79.4 80.8 82.1 83.3 84.5 85.6 86.6 87.5
35 66.3 68.7 70.7 72.6 74.3 76.0 77.5 79.0 80.4 81.8 83.0 84.2 85.3 86.4 87.3
34 65.7 68.1 70.2 72.1 73.9 75.6 77.2 78.7 80.1 81.5 82.8 84.0 85.1 86.1 87.1
33 65.1 67.5 69.7 71.6 73.5 75.2 76.8 78.3 79.8 81.2 82.5 83.7 84.8 85.9 86.9
32 64.4 66.9 69.2 71.2 73.0 74.8 76.4 78.0 79.5 80.9 82.2 83.4 84.6 85.6 86.6
31 63.8 66.3 68.6 70.7 72.6 74.4 76.0 77.6 79.1 80.5 81.9 83.1 84.3 85.4 86.4
30 63.1 65.8 68.1 70.2 72.2 74.0 75.7 77.3 78.8 80.2 81.6 82.9 84.1 85.2 86.2
29 62.4 65.2 67.6 69.7 71.7 73.6 75.3 76.9 78.5 79.9 81.3 82.6 83.8 84.9 86.0
28 61.8 64.6 67.0 69.2 71.3 73.1 74.9 76.6 78.1 79.6 81.0 82.3 83.5 84.7 85.8
27 61.1 64.0 66.5 68.8 70.8 72.7 74.5 76.2 77.8 79.3 80.7 82.0 83.3 84.4 85.5
26 60.4 63.3 65.9 68.3 70.4 72.3 74.1 75.8 77.5 79.0 80.4 81.8 83.0 84.2 85.3
25 59.7 62.7 65.4 67.8 69.9 71.9 73.8 75.5 77.1 78.7 80.1 81.5 82.8 84.0 85.1
24 59.0 62.1 64.8 67.3 69.5 71.5 73.4 75.1 76.8 78.4 79.8 81.2 82.5 83.7 84.9
23 58.3 61.5 64.3 66.8 69.0 71.1 73.0 74.8 76.5 78.0 79.5 80.9 82.2 83.5 84.6
22 57.6 60.8 63.7 66.2 68.5 70.6 72.6 74.4 76.1 77.7 79.2 80.7 82.0 83.2 84.4
21 56.9 60.2 63.1 65.7 68.1 70.2 72.2 74.0 75.8 77.4 78.9 80.4 81.7 83.0 84.2
20 56.2 59.6 62.5 65.2 67.6 69.8 71.8 73.7 75.4 77.1 78.6 80.1 81.5 82.7 83.9
19 55.5 58.9 62.0 64.7 67.1 69.4 71.4 73.3 75.1 76.8 78.3 79.8 81.2 82.5 83.7
18 54.8 58.3 61.4 64.2 66.7 68.9 71.0 73.0 74.8 76.5 78.0 79.5 80.9 82.3 83.5
17 54.1 57.6 60.8 63.6 66.2 68.5 70.6 72.6 74.4 76.1 77.7 79.3 80.7 82.0 83.3
16 53.4 57.0 60.2 63.1 65.7 68.1 70.2 72.2 74.1 75.8 77.5 79.0 80.4 81.8 83.0
15 52.6 56.3 59.6 62.6 65.2 67.6 69.8 71.8 73.7 75.5 77.2 78.7 80.2 81.5 82.8
14 51.9 55.7 59.0 62.0 64.7 67.2 69.4 71.5 73.4 75.2 76.9 78.4 79.9 81.3 82.6
13 51.2 55.0 58.4 61.5 64.2 66.7 69.0 71.1 73.0 74.9 76.6 78.1 79.6 81.0 82.3
12 50.5 54.3 57.8 60.9 63.7 66.3 68.6 70.7 72.7 74.5 76.2 77.9 79.4 80.8 82.1
11 49.8 53.7 57.2 60.4 63.2 65.8 68.2 70.3 72.3 74.2 75.9 77.6 79.1 80.5 81.9
10 49.1 53.0 56.6 59.8 62.7 65.4 67.8 70.0 72.0 73.9 75.6 77.3 78.8 80.3 81.6
9 48.3 52.3 56.0 59.3 62.2 64.9 67.3 69.6 71.6 73.6 75.3 77.0 78.6 80.0 81.4
8 47.6 51.7 55.4 58.7 61.7 64.4 66.9 69.2 71.3 73.2 75.0 76.7 78.3 79.8 81.2
7 46.9 51.0 54.7 58.1 61.2 64.0 66.5 68.8 70.9 72.9 74.7 76.4 78.0 79.5 81.0
6 46.2 50.3 54.1 57.6 60.7 63.5 66.1 68.4 70.6 72.6 74.4 76.2 77.8 79.3 80.7
5 45.5 49.7 53.5 57.0 60.2 63.1 65.7 68.0 70.2 72.2 74.1 75.9 77.5 79.0 80.5
4 44.8 49.0 52.9 56.4 59.7 62.6 65.2 67.6 69.9 71.9 73.8 75.6 77.2 78.8 80.3
3 44.1 48.3 52.3 55.9 59.1 62.1 64.8 67.3 69.5 71.6 73.5 75.3 77.0 78.5 80.0
2 43.4 47.7 51.7 55.3 58.6 61.6 64.4 66.9 69.1 71.2 73.2 75.0 76.7 78.3 79.8
1 42.7 47.0 51.0 54.7 58.1 61.2 63.9 66.5 68.8 70.9 72.9 74.7 76.4 78.0 79.6
0 42.0 46.4 50.4 54.2 57.6 60.7 63.5 66.1 68.4 70.6 72.6 74.4 76.2 77.8 79.3
Optimal Strategy for the Dice Game of Pig (Pig on 6's)
If you want to reach 100 (or more) in the number
of turns shown by the column headers, then match
your "Start of Turn" score with the leftmost
column and use these indexes to find the optimal
"Stop Number" in the table. You should voluntarily
stop rolling the dice when your cumulative dice sum
reaches or exceeds this "Stop Number."
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
98 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
97 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
96 4 4 4 4 4 4 2 2 2 2 4 4 4 4 4
95 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3
94 6 6 6 6 3 2 2 2 2 2 2 2 2 2 2
93 7 7 7 4 2 2 2 2 2 2 2 2 2 2 2
92 8 8 8 4 3 2 2 2 2 2 2 2 2 2 2
91 9 9 9 4 3 3 2 2 2 2 2 2 2 2 2
90 10 10 8 4 4 3 2 2 2 2 2 2 2 2 3
89 11 11 7 5 4 4 3 2 2 2 2 2 3 3 3
88 12 12 8 6 5 4 3 2 2 2 2 3 3 3 3
87 13 13 8 6 6 4 3 3 2 2 2 3 3 3 3
86 14 14 8 7 6 5 3 3 2 2 2 2 3 3 3
85 15 15 9 8 6 5 4 3 2 2 2 3 3 3 3
84 16 16 10 8 7 5 4 3 3 2 2 3 3 3 3
83 17 17 10 9 7 5 4 3 3 3 3 3 3 3 4
82 18 18 11 9 7 6 5 4 3 3 3 3 3 4 4
81 19 19 12 10 8 6 5 4 3 3 3 3 3 4 4
80 20 20 12 11 8 6 5 4 4 3 3 3 3 4 4
79 21 21 13 11 8 7 6 5 4 3 3 3 4 4 4
78 22 22 14 12 9 7 6 5 4 3 3 3 4 4 4
77 23 23 14 12 9 8 6 5 4 4 3 3 4 4 4
76 24 24 15 12 9 8 7 5 5 4 4 4 4 4 4
75 25 25 16 12 10 8 7 6 5 4 4 4 4 4 5
74 26 26 16 13 10 9 7 6 5 4 4 4 4 4 5
73 27 27 17 13 10 9 7 6 5 5 4 4 4 4 5
72 28 28 18 13 11 9 8 7 6 5 4 4 4 5 5
71 29 29 18 14 11 9 8 7 6 5 5 4 4 5 5
70 30 30 18 14 11 10 8 7 6 5 5 4 4 5 5
69 31 31 19 14 12 10 9 7 6 6 5 5 5 5 5
68 32 32 19 15 12 10 9 8 7 6 5 5 5 5 5
67 33 33 20 15 13 11 9 8 7 6 5 5 5 5 5
66 34 34 20 15 13 11 9 8 7 6 6 5 5 5 5
65 35 35 21 16 13 11 10 8 7 7 6 5 5 5 6
64 36 36 21 16 14 12 10 9 8 7 6 6 5 5 6
63 37 37 22 17 14 12 10 9 8 7 6 6 5 6 6
62 38 38 23 17 14 12 10 9 8 7 6 6 6 6 6
61 39 39 23 17 15 12 11 9 8 7 7 6 6 6 6
60 40 40 24 18 15 13 11 10 9 8 7 6 6 6 6
59 41 41 24 18 16 13 11 10 9 8 7 7 6 6 6
58 42 42 25 19 16 13 11 10 9 8 7 7 6 6 6
57 43 43 25 19 16 14 12 10 9 8 8 7 7 6 6
56 44 44 26 20 16 14 12 11 9 9 8 7 7 7 7
55 45 45 26 20 17 14 12 11 10 9 8 7 7 7 7
54 46 46 27 21 17 14 13 11 10 9 8 8 7 7 7
53 47 47 27 21 17 15 13 11 10 9 8 8 7 7 7
52 48 48 28 21 18 15 13 12 10 9 9 8 7 7 7
51 49 49 28 22 18 15 13 12 11 10 9 8 8 7 7
50 50 50 29 22 18 16 14 12 11 10 9 8 8 8 7
49 51 51 29 23 19 16 14 12 11 10 9 9 8 8 8
48 52 52 30 23 19 16 14 12 11 10 9 9 8 8 8
47 53 53 30 23 19 16 14 13 11 10 10 9 8 8 8
46 54 54 31 24 19 17 15 13 12 11 10 9 9 8 8
45 55 55 31 24 20 17 15 13 12 11 10 9 9 8 8
44 56 56 32 25 20 17 15 13 12 11 10 9 9 8 8
43 57 57 32 25 20 18 15 14 12 11 10 10 9 9 8
42 58 58 33 25 21 18 16 14 12 11 10 10 9 9 9
41 59 59 33 26 21 18 16 14 13 12 11 10 9 9 9
40 60 60 34 26 21 18 16 14 13 12 11 10 10 9 9
39 61 61 34 26 22 19 16 15 13 12 11 10 10 9 9
38 62 62 35 27 22 19 17 15 13 12 11 10 10 9 9
37 63 63 35 27 22 19 17 15 14 12 11 11 10 10 9
36 64 64 36 28 23 20 17 15 14 13 12 11 10 10 9
35 65 65 36 28 23 20 17 16 14 13 12 11 10 10 10
34 66 66 37 28 23 20 18 16 14 13 12 11 11 10 10
33 67 67 37 29 24 20 18 16 14 13 12 11 11 10 10
32 68 68 38 29 24 21 18 16 15 13 12 12 11 10 10
31 69 69 38 30 24 21 18 16 15 14 13 12 11 11 10
30 70 70 39 30 25 21 19 17 15 14 13 12 11 11 10
29 71 71 39 30 25 22 19 17 15 14 13 12 11 11 11
28 72 72 40 31 25 22 19 17 16 14 13 12 12 11 11
27 73 73 41 31 26 22 19 17 16 14 13 12 12 11 11
26 74 74 41 32 26 22 20 18 16 15 14 13 12 11 11
25 75 75 42 32 26 23 20 18 16 15 14 13 12 12 11
24 76 76 42 32 27 23 20 18 16 15 14 13 12 12 11
23 77 77 43 33 27 23 20 18 17 15 14 13 12 12 11
22 78 78 43 33 27 23 21 19 17 15 14 13 13 12 12
21 79 79 44 34 28 24 21 19 17 16 15 14 13 12 12
20 80 80 44 34 28 24 21 19 17 16 15 14 13 12 12
19 81 81 45 34 28 24 21 19 18 16 15 14 13 13 12
18 82 82 45 35 29 25 22 19 18 16 15 14 13 13 12
17 83 83 46 35 29 25 22 20 18 17 15 14 14 13 12
16 84 84 46 35 29 25 22 20 18 17 16 15 14 13 13
15 85 85 47 36 30 25 23 20 18 17 16 15 14 13 13
14 86 86 47 36 30 26 23 20 19 17 16 15 14 13 13
13 87 87 48 37 30 26 23 21 19 17 16 15 14 14 13
12 88 88 48 37 31 26 23 21 19 18 16 15 14 14 13
11 89 89 49 37 31 27 24 21 19 18 17 16 15 14 13
10 90 90 49 38 31 27 24 21 20 18 17 16 15 14 14
9 91 91 50 38 32 27 24 22 20 18 17 16 15 14 14
8 92 92 50 39 32 28 24 22 20 18 17 16 15 14 14
7 93 93 51 39 32 28 25 22 20 19 17 16 15 15 14
6 94 94 51 39 33 28 25 22 20 19 18 17 16 15 14
5 95 95 52 40 33 28 25 23 21 19 18 17 16 15 14
4 96 96 53 40 33 29 26 23 21 19 18 17 16 15 15
3 97 97 53 41 34 29 26 23 21 20 18 17 16 15 15
2 98 98 54 41 34 29 26 24 21 20 18 17 16 16 15
1 99 99 54 41 34 30 26 24 22 20 19 18 17 16 15
0 100 100 55 42 35 30 27 24 22 20 19 18 17 16 15
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
98 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
97 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
95 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3
94 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
93 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
92 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
91 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
90 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
89 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
88 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3
87 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
86 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
85 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
84 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
83 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
82 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
81 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4
80 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5
79 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5
78 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
77 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
76 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
75 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5
74 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5
73 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6
72 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
71 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
70 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
69 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6
68 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6
67 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7
66 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7
65 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7
64 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7
63 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7
62 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7
61 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7
60 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7
59 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8
58 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8
57 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8
56 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8
55 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8
54 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8
53 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8
52 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8
51 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9
50 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9
49 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9
48 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9
47 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9
46 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9
45 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9
44 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9
43 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10
42 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10
41 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10
40 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
39 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
38 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
37 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
36 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10
35 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10
34 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11
33 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11
32 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11
31 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11
30 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11
29 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11
28 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11
27 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11
26 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11
25 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11
24 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12
23 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12
22 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12
21 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12
20 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12
19 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12
18 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12
17 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12
16 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
15 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13
14 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13
13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13
12 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13
11 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13
10 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13
9 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13
8 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13
7 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13
6 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13
5 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13
4 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14
3 14 14 13 13 13 13 13 13 13 13 13 14 14 14 14
2 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14
1 15 14 14 13 13 13 13 13 13 14 14 14 14 14 14
0 15 14 14 14 13 13 13 13 14 14 14 14 14 14 14
Return to the Pig Main Page
Web page generated via Sea Monkey's Composer HTML editor
within a Linux Cinnamon Mint 18 operating system.
(Goodbye Microsoft)
This table shows the probability (in percent) of reaching
100 or more in "N" turns if using Optimal Strategy.
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 69.4 88.7 94.1 95.6 96.0 96.2 96.3 96.3 96.4 96.5 96.7 96.8 97.0 97.2 97.3
98 69.4 88.7 94.1 95.6 96.0 96.2 96.3 96.3 96.4 96.5 96.7 96.8 97.0 97.2 97.3
97 68.6 88.2 93.8 95.4 95.9 96.0 96.1 96.2 96.3 96.4 96.5 96.7 96.9 97.1 97.2
96 66.9 87.0 93.1 94.9 95.5 95.7 95.8 95.9 96.0 96.1 96.3 96.4 96.6 96.8 97.0
95 64.3 85.2 92.0 94.2 94.9 95.2 95.4 95.5 95.6 95.7 95.9 96.0 96.2 96.5 96.7
94 60.8 82.5 90.2 93.0 94.1 94.5 94.7 94.9 95.0 95.1 95.3 95.5 95.7 96.0 96.2
93 56.4 78.7 87.6 91.2 92.9 93.6 93.9 94.1 94.2 94.4 94.6 94.8 95.1 95.3 95.6
92 52.5 75.2 85.0 89.7 91.8 92.8 93.1 93.4 93.5 93.7 93.9 94.2 94.5 94.7 95.1
91 49.1 71.8 82.4 88.1 90.8 91.9 92.4 92.7 92.9 93.1 93.3 93.6 93.9 94.2 94.6
90 46.1 68.7 79.9 86.5 89.8 91.1 91.8 92.1 92.3 92.5 92.8 93.1 93.4 93.7 94.1
89 43.6 66.0 77.7 85.1 88.7 90.3 91.1 91.5 91.7 92.0 92.2 92.5 92.9 93.2 93.6
88 41.6 63.6 75.9 83.6 87.6 89.5 90.4 90.9 91.2 91.5 91.8 92.1 92.4 92.8 93.2
87 39.3 61.0 73.7 81.9 86.3 88.5 89.7 90.3 90.6 90.9 91.2 91.5 91.9 92.3 92.7
86 36.9 58.1 71.3 80.0 84.9 87.5 88.8 89.6 90.0 90.3 90.6 91.0 91.4 91.8 92.2
85 34.7 55.3 68.9 78.1 83.4 86.4 88.0 88.8 89.3 89.7 90.0 90.4 90.8 91.3 91.7
84 32.6 52.6 66.5 76.1 81.8 85.2 87.1 88.1 88.7 89.1 89.5 89.8 90.3 90.7 91.2
83 30.7 50.0 64.1 74.1 80.3 84.0 86.2 87.3 88.0 88.5 88.9 89.3 89.7 90.2 90.7
82 28.9 47.6 61.9 72.1 78.7 82.8 85.2 86.6 87.4 87.9 88.3 88.8 89.2 89.7 90.3
81 27.3 45.3 59.6 70.1 77.1 81.6 84.3 85.8 86.7 87.3 87.8 88.2 88.7 89.2 89.8
80 25.7 43.1 57.3 68.1 75.5 80.3 83.2 84.9 86.0 86.7 87.2 87.7 88.2 88.7 89.3
79 24.3 41.0 55.1 66.0 73.8 78.9 82.1 84.1 85.3 86.0 86.6 87.1 87.6 88.2 88.8
78 22.8 38.9 52.8 63.9 72.0 77.5 81.0 83.2 84.5 85.4 86.0 86.6 87.1 87.7 88.3
77 21.5 36.9 50.6 61.8 70.2 76.0 79.8 82.2 83.7 84.7 85.4 86.0 86.6 87.2 87.8
76 20.2 34.9 48.5 59.7 68.4 74.6 78.6 81.3 82.9 84.0 84.8 85.4 86.0 86.6 87.3
75 19.1 33.1 46.4 57.7 66.6 73.1 77.4 80.3 82.1 83.3 84.2 84.8 85.5 86.1 86.8
74 18.0 31.4 44.4 55.7 64.9 71.5 76.2 79.2 81.3 82.6 83.5 84.3 84.9 85.6 86.3
73 16.9 29.8 42.5 53.7 63.1 70.0 74.9 78.2 80.4 81.9 82.9 83.7 84.4 85.1 85.8
72 16.0 28.2 40.6 51.8 61.3 68.4 73.6 77.1 79.5 81.1 82.2 83.1 83.8 84.6 85.3
71 15.0 26.7 38.7 49.9 59.5 66.8 72.2 76.0 78.6 80.3 81.6 82.5 83.3 84.0 84.8
70 14.2 25.2 37.0 48.0 57.7 65.2 70.9 74.9 77.6 79.5 80.9 81.9 82.7 83.5 84.3
69 13.3 23.9 35.2 46.2 55.9 63.6 69.5 73.7 76.6 78.7 80.2 81.3 82.2 83.0 83.8
68 12.6 22.6 33.6 44.4 54.1 62.0 68.1 72.5 75.6 77.9 79.4 80.6 81.6 82.5 83.3
67 11.8 21.4 32.0 42.6 52.4 60.4 66.7 71.3 74.6 77.0 78.7 80.0 81.0 81.9 82.8
66 11.2 20.2 30.5 40.9 50.6 58.8 65.2 70.1 73.6 76.1 78.0 79.3 80.4 81.4 82.3
65 10.5 19.1 29.0 39.3 48.9 57.2 63.8 68.8 72.5 75.2 77.2 78.7 79.8 80.8 81.8
64 9.9 18.0 27.6 37.7 47.2 55.5 62.3 67.5 71.4 74.3 76.4 78.0 79.2 80.3 81.3
63 9.3 17.0 26.3 36.1 45.6 53.9 60.9 66.3 70.3 73.4 75.6 77.3 78.6 79.7 80.7
62 8.8 16.1 25.0 34.6 43.9 52.3 59.4 65.0 69.2 72.4 74.8 76.6 78.0 79.2 80.2
61 8.3 15.2 23.8 33.1 42.3 50.8 57.9 63.7 68.1 71.4 73.9 75.8 77.3 78.6 79.7
60 7.8 14.4 22.6 31.7 40.8 49.2 56.5 62.3 66.9 70.4 73.1 75.1 76.7 78.0 79.2
59 7.4 13.6 21.4 30.3 39.3 47.7 55.0 61.0 65.8 69.4 72.2 74.3 76.0 77.4 78.6
58 6.9 12.8 20.4 29.0 37.8 46.1 53.5 59.7 64.6 68.4 71.3 73.6 75.4 76.8 78.1
57 6.5 12.1 19.3 27.7 36.3 44.6 52.1 58.3 63.4 67.4 70.4 72.8 74.7 76.2 77.5
56 6.2 11.4 18.3 26.4 34.9 43.1 50.6 57.0 62.2 66.3 69.5 72.0 74.0 75.6 77.0
55 5.8 10.8 17.4 25.2 33.5 41.7 49.2 55.7 61.0 65.3 68.6 71.2 73.3 75.0 76.4
54 5.5 10.2 16.5 24.1 32.2 40.3 47.8 54.3 59.8 64.2 67.7 70.4 72.6 74.3 75.9
53 5.1 9.6 15.7 23.0 30.9 38.9 46.4 53.0 58.6 63.1 66.7 69.6 71.8 73.7 75.3
52 4.8 9.1 14.8 21.9 29.6 37.5 45.0 51.7 57.3 62.0 65.7 68.7 71.1 73.1 74.7
51 4.6 8.5 14.1 20.9 28.4 36.2 43.6 50.3 56.1 60.9 64.8 67.9 70.4 72.4 74.1
50 4.3 8.1 13.3 19.9 27.2 34.9 42.3 49.0 54.9 59.8 63.8 67.0 69.6 71.7 73.5
49 4.1 7.6 12.6 18.9 26.1 33.6 40.9 47.7 53.6 58.7 62.8 66.1 68.8 71.1 72.9
48 3.8 7.2 12.0 18.0 25.0 32.3 39.6 46.4 52.4 57.5 61.8 65.2 68.1 70.4 72.3
47 3.6 6.8 11.3 17.2 23.9 31.1 38.3 45.1 51.2 56.4 60.7 64.3 67.3 69.7 71.7
46 3.4 6.4 10.7 16.3 22.9 29.9 37.1 43.8 50.0 55.3 59.7 63.4 66.5 69.0 71.1
45 3.2 6.0 10.2 15.5 21.9 28.8 35.8 42.6 48.8 54.1 58.7 62.5 65.6 68.3 70.5
44 3.0 5.7 9.6 14.8 20.9 27.7 34.6 41.3 47.5 53.0 57.7 61.6 64.8 67.5 69.8
43 2.8 5.4 9.1 14.1 20.0 26.6 33.4 40.1 46.3 51.9 56.6 60.6 64.0 66.8 69.2
42 2.7 5.1 8.6 13.4 19.1 25.6 32.3 38.9 45.1 50.7 55.6 59.7 63.2 66.1 68.5
41 2.5 4.8 8.2 12.7 18.3 24.5 31.2 37.7 44.0 49.6 54.5 58.8 62.3 65.3 67.8
40 2.4 4.5 7.7 12.1 17.4 23.6 30.0 36.6 42.8 48.5 53.5 57.8 61.5 64.6 67.2
39 2.2 4.2 7.3 11.5 16.7 22.6 29.0 35.4 41.6 47.4 52.4 56.8 60.6 63.8 66.5
38 2.1 4.0 6.9 10.9 15.9 21.7 27.9 34.3 40.5 46.2 51.4 55.9 59.7 63.0 65.8
37 2.0 3.8 6.5 10.4 15.2 20.8 26.9 33.2 39.4 45.1 50.3 54.9 58.9 62.2 65.1
36 1.9 3.6 6.2 9.8 14.5 19.9 25.9 32.1 38.3 44.0 49.3 54.0 58.0 61.5 64.4
35 1.8 3.4 5.9 9.3 13.8 19.1 24.9 31.1 37.2 43.0 48.3 53.0 57.1 60.7 63.7
34 1.7 3.2 5.5 8.9 13.2 18.3 24.0 30.0 36.1 41.9 47.2 52.0 56.2 59.9 63.0
33 1.6 3.0 5.2 8.4 12.5 17.5 23.1 29.0 35.0 40.8 46.2 51.0 55.3 59.1 62.3
32 1.5 2.8 4.9 8.0 12.0 16.8 22.2 28.0 34.0 39.8 45.2 50.1 54.4 58.2 61.6
31 1.4 2.6 4.7 7.6 11.4 16.0 21.4 27.1 33.0 38.7 44.1 49.1 53.5 57.4 60.8
30 1.3 2.5 4.4 7.2 10.9 15.4 20.5 26.2 32.0 37.7 43.1 48.1 52.6 56.6 60.1
29 1.2 2.4 4.2 6.8 10.3 14.7 19.7 25.2 31.0 36.7 42.1 47.2 51.7 55.8 59.3
28 1.2 2.2 4.0 6.5 9.9 14.1 19.0 24.4 30.0 35.7 41.1 46.2 50.8 55.0 58.6
27 1.1 2.1 3.7 6.1 9.4 13.4 18.2 23.5 29.1 34.7 40.1 45.3 49.9 54.1 57.8
26 1.0 2.0 3.5 5.8 8.9 12.8 17.5 22.7 28.1 33.7 39.2 44.3 49.0 53.3 57.1
25 1.0 1.9 3.3 5.5 8.5 12.3 16.8 21.8 27.2 32.8 38.2 43.4 48.1 52.5 56.3
24 0.9 1.8 3.2 5.2 8.1 11.7 16.1 21.0 26.4 31.8 37.3 42.4 47.2 51.6 55.5
23 0.9 1.7 3.0 5.0 7.7 11.2 15.4 20.3 25.5 30.9 36.3 41.5 46.4 50.8 54.8
22 0.8 1.6 2.8 4.7 7.3 10.7 14.8 19.5 24.7 30.0 35.4 40.6 45.5 50.0 54.0
21 0.8 1.5 2.7 4.5 7.0 10.2 14.2 18.8 23.9 29.1 34.5 39.7 44.6 49.1 53.2
20 0.7 1.4 2.5 4.2 6.6 9.8 13.6 18.1 23.1 28.3 33.6 38.8 43.7 48.3 52.5
19 0.7 1.3 2.4 4.0 6.3 9.3 13.1 17.4 22.3 27.4 32.7 37.9 42.8 47.5 51.7
18 0.6 1.2 2.3 3.8 6.0 8.9 12.5 16.8 21.5 26.6 31.8 37.0 42.0 46.6 50.9
17 0.6 1.2 2.1 3.6 5.7 8.5 12.0 16.1 20.8 25.8 31.0 36.1 41.1 45.8 50.1
16 0.6 1.1 2.0 3.4 5.4 8.1 11.5 15.5 20.1 25.0 30.1 35.3 40.3 45.0 49.4
15 0.5 1.0 1.9 3.2 5.2 7.8 11.0 14.9 19.4 24.2 29.3 34.4 39.4 44.2 48.6
14 0.5 1.0 1.8 3.1 4.9 7.4 10.6 14.4 18.7 23.5 28.5 33.6 38.6 43.4 47.8
13 0.5 0.9 1.7 2.9 4.7 7.1 10.1 13.8 18.1 22.8 27.7 32.8 37.8 42.5 47.1
12 0.4 0.9 1.6 2.8 4.4 6.7 9.7 13.3 17.4 22.0 26.9 32.0 36.9 41.7 46.3
11 0.4 0.8 1.5 2.6 4.2 6.4 9.3 12.8 16.8 21.4 26.2 31.2 36.1 41.0 45.5
10 0.4 0.8 1.4 2.5 4.0 6.1 8.9 12.3 16.2 20.7 25.4 30.4 35.3 40.2 44.8
9 0.4 0.7 1.4 2.4 3.8 5.9 8.5 11.8 15.7 20.0 24.7 29.6 34.5 39.4 44.0
8 0.4 0.7 1.3 2.2 3.6 5.6 8.2 11.3 15.1 19.4 24.0 28.9 33.8 38.6 43.3
7 0.3 0.7 1.2 2.1 3.5 5.3 7.8 10.9 14.6 18.8 23.3 28.1 33.0 37.8 42.5
6 0.3 0.6 1.2 2.0 3.3 5.1 7.5 10.5 14.1 18.2 22.6 27.4 32.3 37.1 41.8
5 0.3 0.6 1.1 1.9 3.1 4.9 7.2 10.1 13.6 17.6 22.0 26.7 31.5 36.3 41.0
4 0.3 0.5 1.0 1.8 3.0 4.6 6.9 9.7 13.1 17.0 21.3 26.0 30.8 35.6 40.3
3 0.3 0.5 1.0 1.7 2.8 4.4 6.6 9.3 12.6 16.4 20.7 25.3 30.1 34.9 39.6
2 0.2 0.5 0.9 1.6 2.7 4.2 6.3 8.9 12.2 15.9 20.1 24.6 29.4 34.2 38.9
1 0.2 0.5 0.9 1.5 2.6 4.0 6.0 8.6 11.7 15.4 19.5 24.0 28.7 33.4 38.2
0 0.2 0.4 0.8 1.5 2.4 3.9 5.8 8.3 11.3 14.9 18.9 23.4 28.0 32.8 37.5
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 97.5 97.7 97.9 98.0 98.2 98.3 98.4 98.6 98.7 98.7 98.8 98.9 99.0 99.1 99.1
98 97.5 97.7 97.9 98.0 98.2 98.3 98.4 98.6 98.7 98.7 98.8 98.9 99.0 99.1 99.1
97 97.4 97.6 97.8 98.0 98.1 98.2 98.4 98.5 98.6 98.7 98.8 98.9 98.9 99.0 99.1
96 97.2 97.4 97.6 97.8 98.0 98.1 98.2 98.4 98.5 98.6 98.7 98.8 98.9 98.9 99.0
95 96.9 97.1 97.3 97.5 97.7 97.9 98.0 98.2 98.3 98.4 98.5 98.6 98.7 98.8 98.9
94 96.5 96.7 96.9 97.2 97.4 97.6 97.8 97.9 98.1 98.2 98.3 98.4 98.6 98.6 98.7
93 95.9 96.2 96.5 96.7 97.0 97.2 97.4 97.6 97.8 97.9 98.1 98.2 98.3 98.4 98.5
92 95.4 95.7 96.0 96.3 96.6 96.8 97.1 97.3 97.5 97.7 97.8 98.0 98.1 98.2 98.4
91 94.9 95.3 95.6 95.9 96.2 96.5 96.8 97.0 97.2 97.4 97.6 97.8 97.9 98.1 98.2
90 94.5 94.8 95.2 95.6 95.9 96.2 96.5 96.7 97.0 97.2 97.4 97.6 97.7 97.9 98.0
89 94.0 94.4 94.8 95.2 95.6 95.9 96.2 96.5 96.7 97.0 97.2 97.4 97.6 97.7 97.9
88 93.6 94.1 94.5 94.9 95.3 95.6 95.9 96.2 96.5 96.8 97.0 97.2 97.4 97.6 97.7
87 93.2 93.6 94.1 94.5 94.9 95.3 95.6 96.0 96.3 96.5 96.8 97.0 97.2 97.4 97.6
86 92.7 93.2 93.7 94.1 94.6 95.0 95.3 95.7 96.0 96.3 96.5 96.8 97.0 97.2 97.4
85 92.2 92.7 93.2 93.7 94.2 94.6 95.0 95.4 95.7 96.0 96.3 96.6 96.8 97.0 97.2
84 91.8 92.3 92.8 93.3 93.8 94.3 94.7 95.1 95.4 95.8 96.1 96.3 96.6 96.8 97.0
83 91.3 91.9 92.4 92.9 93.5 93.9 94.4 94.8 95.2 95.5 95.8 96.1 96.4 96.6 96.9
82 90.8 91.4 92.0 92.6 93.1 93.6 94.1 94.5 94.9 95.3 95.6 95.9 96.2 96.5 96.7
81 90.4 91.0 91.6 92.2 92.7 93.3 93.8 94.2 94.7 95.0 95.4 95.7 96.0 96.3 96.5
80 89.9 90.5 91.2 91.8 92.4 92.9 93.5 93.9 94.4 94.8 95.2 95.5 95.8 96.1 96.4
79 89.4 90.1 90.7 91.4 92.0 92.6 93.1 93.6 94.1 94.5 94.9 95.3 95.6 95.9 96.2
78 89.0 89.6 90.3 91.0 91.6 92.2 92.8 93.3 93.8 94.3 94.7 95.0 95.4 95.7 96.0
77 88.5 89.2 89.9 90.6 91.2 91.9 92.5 93.0 93.5 94.0 94.4 94.8 95.2 95.5 95.8
76 88.0 88.7 89.4 90.2 90.9 91.5 92.1 92.7 93.3 93.7 94.2 94.6 95.0 95.3 95.6
75 87.5 88.3 89.0 89.8 90.5 91.2 91.8 92.4 93.0 93.5 93.9 94.4 94.8 95.1 95.5
74 87.1 87.8 88.6 89.4 90.1 90.8 91.5 92.1 92.7 93.2 93.7 94.1 94.5 94.9 95.3
73 86.6 87.4 88.2 88.9 89.7 90.5 91.1 91.8 92.4 92.9 93.4 93.9 94.3 94.7 95.1
72 86.1 86.9 87.7 88.5 89.3 90.1 90.8 91.5 92.1 92.7 93.2 93.7 94.1 94.5 94.9
71 85.6 86.4 87.3 88.1 88.9 89.7 90.5 91.2 91.8 92.4 92.9 93.4 93.9 94.3 94.7
70 85.1 86.0 86.8 87.7 88.6 89.4 90.1 90.8 91.5 92.1 92.7 93.2 93.7 94.1 94.5
69 84.7 85.5 86.4 87.3 88.2 89.0 89.8 90.5 91.2 91.8 92.4 93.0 93.5 93.9 94.3
68 84.2 85.1 86.0 86.9 87.8 88.6 89.4 90.2 90.9 91.6 92.2 92.7 93.2 93.7 94.1
67 83.7 84.6 85.5 86.5 87.4 88.3 89.1 89.9 90.6 91.3 91.9 92.5 93.0 93.5 94.0
66 83.2 84.1 85.1 86.0 87.0 87.9 88.7 89.6 90.3 91.0 91.7 92.3 92.8 93.3 93.8
65 82.7 83.7 84.6 85.6 86.6 87.5 88.4 89.2 90.0 90.7 91.4 92.0 92.6 93.1 93.6
64 82.2 83.2 84.2 85.2 86.2 87.1 88.0 88.9 89.7 90.5 91.1 91.8 92.3 92.9 93.4
63 81.7 82.7 83.8 84.8 85.8 86.8 87.7 88.6 89.4 90.2 90.9 91.5 92.1 92.7 93.2
62 81.3 82.3 83.3 84.4 85.4 86.4 87.3 88.2 89.1 89.9 90.6 91.3 91.9 92.5 93.0
61 80.8 81.8 82.9 83.9 85.0 86.0 87.0 87.9 88.8 89.6 90.3 91.0 91.7 92.2 92.8
60 80.3 81.3 82.4 83.5 84.6 85.6 86.6 87.6 88.5 89.3 90.1 90.8 91.4 92.0 92.6
59 79.8 80.9 82.0 83.1 84.2 85.3 86.3 87.3 88.2 89.0 89.8 90.5 91.2 91.8 92.4
58 79.3 80.4 81.5 82.7 83.8 84.9 85.9 86.9 87.9 88.7 89.5 90.3 91.0 91.6 92.2
57 78.8 79.9 81.1 82.2 83.4 84.5 85.6 86.6 87.5 88.4 89.3 90.0 90.7 91.4 92.0
56 78.2 79.5 80.6 81.8 83.0 84.1 85.2 86.2 87.2 88.1 89.0 89.8 90.5 91.2 91.8
55 77.7 79.0 80.2 81.4 82.6 83.7 84.8 85.9 86.9 87.8 88.7 89.5 90.3 90.9 91.6
54 77.2 78.5 79.7 81.0 82.2 83.4 84.5 85.6 86.6 87.5 88.4 89.3 90.0 90.7 91.4
53 76.7 78.0 79.3 80.5 81.8 83.0 84.1 85.2 86.3 87.2 88.2 89.0 89.8 90.5 91.2
52 76.2 77.5 78.8 80.1 81.4 82.6 83.8 84.9 86.0 87.0 87.9 88.7 89.5 90.3 91.0
51 75.6 77.0 78.4 79.7 81.0 82.2 83.4 84.6 85.6 86.7 87.6 88.5 89.3 90.0 90.7
50 75.1 76.6 77.9 79.3 80.6 81.8 83.0 84.2 85.3 86.4 87.3 88.2 89.1 89.8 90.5
49 74.6 76.1 77.5 78.8 80.1 81.4 82.7 83.9 85.0 86.1 87.0 88.0 88.8 89.6 90.3
48 74.0 75.6 77.0 78.4 79.7 81.1 82.3 83.5 84.7 85.8 86.8 87.7 88.6 89.4 90.1
47 73.5 75.1 76.5 78.0 79.3 80.7 82.0 83.2 84.4 85.5 86.5 87.4 88.3 89.1 89.9
46 72.9 74.6 76.1 77.5 78.9 80.3 81.6 82.8 84.0 85.1 86.2 87.2 88.1 88.9 89.7
45 72.4 74.0 75.6 77.1 78.5 79.9 81.2 82.5 83.7 84.8 85.9 86.9 87.8 88.7 89.5
44 71.8 73.5 75.1 76.6 78.1 79.5 80.9 82.2 83.4 84.5 85.6 86.6 87.6 88.5 89.3
43 71.2 73.0 74.7 76.2 77.7 79.1 80.5 81.8 83.1 84.2 85.3 86.4 87.3 88.2 89.0
42 70.6 72.5 74.2 75.8 77.3 78.7 80.1 81.5 82.7 83.9 85.1 86.1 87.1 88.0 88.8
41 70.0 71.9 73.7 75.3 76.9 78.3 79.8 81.1 82.4 83.6 84.8 85.8 86.8 87.8 88.6
40 69.4 71.4 73.2 74.9 76.4 77.9 79.4 80.8 82.1 83.3 84.5 85.6 86.6 87.5 88.4
39 68.8 70.9 72.7 74.4 76.0 77.6 79.0 80.4 81.8 83.0 84.2 85.3 86.3 87.3 88.2
38 68.2 70.3 72.2 74.0 75.6 77.2 78.6 80.1 81.4 82.7 83.9 85.0 86.1 87.1 88.0
37 67.6 69.8 71.7 73.5 75.2 76.8 78.3 79.7 81.1 82.4 83.6 84.8 85.8 86.8 87.7
36 67.0 69.2 71.2 73.0 74.8 76.4 77.9 79.4 80.8 82.1 83.3 84.5 85.6 86.6 87.5
35 66.3 68.7 70.7 72.6 74.3 76.0 77.5 79.0 80.4 81.8 83.0 84.2 85.3 86.4 87.3
34 65.7 68.1 70.2 72.1 73.9 75.6 77.2 78.7 80.1 81.5 82.8 84.0 85.1 86.1 87.1
33 65.1 67.5 69.7 71.6 73.5 75.2 76.8 78.3 79.8 81.2 82.5 83.7 84.8 85.9 86.9
32 64.4 66.9 69.2 71.2 73.0 74.8 76.4 78.0 79.5 80.9 82.2 83.4 84.6 85.6 86.6
31 63.8 66.3 68.6 70.7 72.6 74.4 76.0 77.6 79.1 80.5 81.9 83.1 84.3 85.4 86.4
30 63.1 65.8 68.1 70.2 72.2 74.0 75.7 77.3 78.8 80.2 81.6 82.9 84.1 85.2 86.2
29 62.4 65.2 67.6 69.7 71.7 73.6 75.3 76.9 78.5 79.9 81.3 82.6 83.8 84.9 86.0
28 61.8 64.6 67.0 69.2 71.3 73.1 74.9 76.6 78.1 79.6 81.0 82.3 83.5 84.7 85.8
27 61.1 64.0 66.5 68.8 70.8 72.7 74.5 76.2 77.8 79.3 80.7 82.0 83.3 84.4 85.5
26 60.4 63.3 65.9 68.3 70.4 72.3 74.1 75.8 77.5 79.0 80.4 81.8 83.0 84.2 85.3
25 59.7 62.7 65.4 67.8 69.9 71.9 73.8 75.5 77.1 78.7 80.1 81.5 82.8 84.0 85.1
24 59.0 62.1 64.8 67.3 69.5 71.5 73.4 75.1 76.8 78.4 79.8 81.2 82.5 83.7 84.9
23 58.3 61.5 64.3 66.8 69.0 71.1 73.0 74.8 76.5 78.0 79.5 80.9 82.2 83.5 84.6
22 57.6 60.8 63.7 66.2 68.5 70.6 72.6 74.4 76.1 77.7 79.2 80.7 82.0 83.2 84.4
21 56.9 60.2 63.1 65.7 68.1 70.2 72.2 74.0 75.8 77.4 78.9 80.4 81.7 83.0 84.2
20 56.2 59.6 62.5 65.2 67.6 69.8 71.8 73.7 75.4 77.1 78.6 80.1 81.5 82.7 83.9
19 55.5 58.9 62.0 64.7 67.1 69.4 71.4 73.3 75.1 76.8 78.3 79.8 81.2 82.5 83.7
18 54.8 58.3 61.4 64.2 66.7 68.9 71.0 73.0 74.8 76.5 78.0 79.5 80.9 82.3 83.5
17 54.1 57.6 60.8 63.6 66.2 68.5 70.6 72.6 74.4 76.1 77.7 79.3 80.7 82.0 83.3
16 53.4 57.0 60.2 63.1 65.7 68.1 70.2 72.2 74.1 75.8 77.5 79.0 80.4 81.8 83.0
15 52.6 56.3 59.6 62.6 65.2 67.6 69.8 71.8 73.7 75.5 77.2 78.7 80.2 81.5 82.8
14 51.9 55.7 59.0 62.0 64.7 67.2 69.4 71.5 73.4 75.2 76.9 78.4 79.9 81.3 82.6
13 51.2 55.0 58.4 61.5 64.2 66.7 69.0 71.1 73.0 74.9 76.6 78.1 79.6 81.0 82.3
12 50.5 54.3 57.8 60.9 63.7 66.3 68.6 70.7 72.7 74.5 76.2 77.9 79.4 80.8 82.1
11 49.8 53.7 57.2 60.4 63.2 65.8 68.2 70.3 72.3 74.2 75.9 77.6 79.1 80.5 81.9
10 49.1 53.0 56.6 59.8 62.7 65.4 67.8 70.0 72.0 73.9 75.6 77.3 78.8 80.3 81.6
9 48.3 52.3 56.0 59.3 62.2 64.9 67.3 69.6 71.6 73.6 75.3 77.0 78.6 80.0 81.4
8 47.6 51.7 55.4 58.7 61.7 64.4 66.9 69.2 71.3 73.2 75.0 76.7 78.3 79.8 81.2
7 46.9 51.0 54.7 58.1 61.2 64.0 66.5 68.8 70.9 72.9 74.7 76.4 78.0 79.5 81.0
6 46.2 50.3 54.1 57.6 60.7 63.5 66.1 68.4 70.6 72.6 74.4 76.2 77.8 79.3 80.7
5 45.5 49.7 53.5 57.0 60.2 63.1 65.7 68.0 70.2 72.2 74.1 75.9 77.5 79.0 80.5
4 44.8 49.0 52.9 56.4 59.7 62.6 65.2 67.6 69.9 71.9 73.8 75.6 77.2 78.8 80.3
3 44.1 48.3 52.3 55.9 59.1 62.1 64.8 67.3 69.5 71.6 73.5 75.3 77.0 78.5 80.0
2 43.4 47.7 51.7 55.3 58.6 61.6 64.4 66.9 69.1 71.2 73.2 75.0 76.7 78.3 79.8
1 42.7 47.0 51.0 54.7 58.1 61.2 63.9 66.5 68.8 70.9 72.9 74.7 76.4 78.0 79.6
0 42.0 46.4 50.4 54.2 57.6 60.7 63.5 66.1 68.4 70.6 72.6 74.4 76.2 77.8 79.3
Optimal Strategy for the Dice Game of Pig (Pig on 6's)
If you want to reach 100 (or more) in the number
of turns shown by the column headers, then match
your "Start of Turn" score with the leftmost
column and use these indexes to find the optimal
"Stop Number" in the table. You should voluntarily
stop rolling the dice when your cumulative dice sum
reaches or exceeds this "Stop Number."
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
98 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
97 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
96 4 4 4 4 4 4 2 2 2 2 4 4 4 4 4
95 5 5 5 5 5 2 2 2 2 2 2 2 2 3 3
94 6 6 6 6 3 2 2 2 2 2 2 2 2 2 2
93 7 7 7 4 2 2 2 2 2 2 2 2 2 2 2
92 8 8 8 4 3 2 2 2 2 2 2 2 2 2 2
91 9 9 9 4 3 3 2 2 2 2 2 2 2 2 2
90 10 10 8 4 4 3 2 2 2 2 2 2 2 2 3
89 11 11 7 5 4 4 3 2 2 2 2 2 3 3 3
88 12 12 8 6 5 4 3 2 2 2 2 3 3 3 3
87 13 13 8 6 6 4 3 3 2 2 2 3 3 3 3
86 14 14 8 7 6 5 3 3 2 2 2 2 3 3 3
85 15 15 9 8 6 5 4 3 2 2 2 3 3 3 3
84 16 16 10 8 7 5 4 3 3 2 2 3 3 3 3
83 17 17 10 9 7 5 4 3 3 3 3 3 3 3 4
82 18 18 11 9 7 6 5 4 3 3 3 3 3 4 4
81 19 19 12 10 8 6 5 4 3 3 3 3 3 4 4
80 20 20 12 11 8 6 5 4 4 3 3 3 3 4 4
79 21 21 13 11 8 7 6 5 4 3 3 3 4 4 4
78 22 22 14 12 9 7 6 5 4 3 3 3 4 4 4
77 23 23 14 12 9 8 6 5 4 4 3 3 4 4 4
76 24 24 15 12 9 8 7 5 5 4 4 4 4 4 4
75 25 25 16 12 10 8 7 6 5 4 4 4 4 4 5
74 26 26 16 13 10 9 7 6 5 4 4 4 4 4 5
73 27 27 17 13 10 9 7 6 5 5 4 4 4 4 5
72 28 28 18 13 11 9 8 7 6 5 4 4 4 5 5
71 29 29 18 14 11 9 8 7 6 5 5 4 4 5 5
70 30 30 18 14 11 10 8 7 6 5 5 4 4 5 5
69 31 31 19 14 12 10 9 7 6 6 5 5 5 5 5
68 32 32 19 15 12 10 9 8 7 6 5 5 5 5 5
67 33 33 20 15 13 11 9 8 7 6 5 5 5 5 5
66 34 34 20 15 13 11 9 8 7 6 6 5 5 5 5
65 35 35 21 16 13 11 10 8 7 7 6 5 5 5 6
64 36 36 21 16 14 12 10 9 8 7 6 6 5 5 6
63 37 37 22 17 14 12 10 9 8 7 6 6 5 6 6
62 38 38 23 17 14 12 10 9 8 7 6 6 6 6 6
61 39 39 23 17 15 12 11 9 8 7 7 6 6 6 6
60 40 40 24 18 15 13 11 10 9 8 7 6 6 6 6
59 41 41 24 18 16 13 11 10 9 8 7 7 6 6 6
58 42 42 25 19 16 13 11 10 9 8 7 7 6 6 6
57 43 43 25 19 16 14 12 10 9 8 8 7 7 6 6
56 44 44 26 20 16 14 12 11 9 9 8 7 7 7 7
55 45 45 26 20 17 14 12 11 10 9 8 7 7 7 7
54 46 46 27 21 17 14 13 11 10 9 8 8 7 7 7
53 47 47 27 21 17 15 13 11 10 9 8 8 7 7 7
52 48 48 28 21 18 15 13 12 10 9 9 8 7 7 7
51 49 49 28 22 18 15 13 12 11 10 9 8 8 7 7
50 50 50 29 22 18 16 14 12 11 10 9 8 8 8 7
49 51 51 29 23 19 16 14 12 11 10 9 9 8 8 8
48 52 52 30 23 19 16 14 12 11 10 9 9 8 8 8
47 53 53 30 23 19 16 14 13 11 10 10 9 8 8 8
46 54 54 31 24 19 17 15 13 12 11 10 9 9 8 8
45 55 55 31 24 20 17 15 13 12 11 10 9 9 8 8
44 56 56 32 25 20 17 15 13 12 11 10 9 9 8 8
43 57 57 32 25 20 18 15 14 12 11 10 10 9 9 8
42 58 58 33 25 21 18 16 14 12 11 10 10 9 9 9
41 59 59 33 26 21 18 16 14 13 12 11 10 9 9 9
40 60 60 34 26 21 18 16 14 13 12 11 10 10 9 9
39 61 61 34 26 22 19 16 15 13 12 11 10 10 9 9
38 62 62 35 27 22 19 17 15 13 12 11 10 10 9 9
37 63 63 35 27 22 19 17 15 14 12 11 11 10 10 9
36 64 64 36 28 23 20 17 15 14 13 12 11 10 10 9
35 65 65 36 28 23 20 17 16 14 13 12 11 10 10 10
34 66 66 37 28 23 20 18 16 14 13 12 11 11 10 10
33 67 67 37 29 24 20 18 16 14 13 12 11 11 10 10
32 68 68 38 29 24 21 18 16 15 13 12 12 11 10 10
31 69 69 38 30 24 21 18 16 15 14 13 12 11 11 10
30 70 70 39 30 25 21 19 17 15 14 13 12 11 11 10
29 71 71 39 30 25 22 19 17 15 14 13 12 11 11 11
28 72 72 40 31 25 22 19 17 16 14 13 12 12 11 11
27 73 73 41 31 26 22 19 17 16 14 13 12 12 11 11
26 74 74 41 32 26 22 20 18 16 15 14 13 12 11 11
25 75 75 42 32 26 23 20 18 16 15 14 13 12 12 11
24 76 76 42 32 27 23 20 18 16 15 14 13 12 12 11
23 77 77 43 33 27 23 20 18 17 15 14 13 12 12 11
22 78 78 43 33 27 23 21 19 17 15 14 13 13 12 12
21 79 79 44 34 28 24 21 19 17 16 15 14 13 12 12
20 80 80 44 34 28 24 21 19 17 16 15 14 13 12 12
19 81 81 45 34 28 24 21 19 18 16 15 14 13 13 12
18 82 82 45 35 29 25 22 19 18 16 15 14 13 13 12
17 83 83 46 35 29 25 22 20 18 17 15 14 14 13 12
16 84 84 46 35 29 25 22 20 18 17 16 15 14 13 13
15 85 85 47 36 30 25 23 20 18 17 16 15 14 13 13
14 86 86 47 36 30 26 23 20 19 17 16 15 14 13 13
13 87 87 48 37 30 26 23 21 19 17 16 15 14 14 13
12 88 88 48 37 31 26 23 21 19 18 16 15 14 14 13
11 89 89 49 37 31 27 24 21 19 18 17 16 15 14 13
10 90 90 49 38 31 27 24 21 20 18 17 16 15 14 14
9 91 91 50 38 32 27 24 22 20 18 17 16 15 14 14
8 92 92 50 39 32 28 24 22 20 18 17 16 15 14 14
7 93 93 51 39 32 28 25 22 20 19 17 16 15 15 14
6 94 94 51 39 33 28 25 22 20 19 18 17 16 15 14
5 95 95 52 40 33 28 25 23 21 19 18 17 16 15 14
4 96 96 53 40 33 29 26 23 21 19 18 17 16 15 15
3 97 97 53 41 34 29 26 23 21 20 18 17 16 15 15
2 98 98 54 41 34 29 26 24 21 20 18 17 16 16 15
1 99 99 54 41 34 30 26 24 22 20 19 18 17 16 15
0 100 100 55 42 35 30 27 24 22 20 19 18 17 16 15
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
98 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
97 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
95 3 5 5 5 5 5 5 5 3 3 3 3 3 3 3
94 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
93 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
92 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
91 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
90 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
89 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
88 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3
87 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
86 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
85 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
84 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
83 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
82 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
81 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4
80 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5
79 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5
78 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
77 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
76 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
75 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5
74 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5
73 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6
72 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
71 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
70 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6
69 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6
68 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6
67 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7
66 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7
65 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7
64 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7
63 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7
62 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7
61 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7
60 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7
59 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8
58 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8
57 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8
56 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8
55 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8
54 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8
53 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8
52 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8
51 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9
50 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9
49 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9
48 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9
47 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9
46 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9
45 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9
44 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9
43 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10
42 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10
41 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10
40 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
39 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
38 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
37 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10
36 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10
35 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10
34 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11
33 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11
32 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11
31 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11
30 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11
29 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11
28 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11
27 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11
26 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11
25 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11
24 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12
23 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12
22 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12
21 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12
20 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12
19 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12
18 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12
17 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12
16 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
15 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13
14 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13
13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13
12 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13
11 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13
10 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13
9 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13
8 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13
7 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13
6 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13
5 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13
4 14 14 13 13 13 13 13 13 13 13 13 13 14 14 14
3 14 14 13 13 13 13 13 13 13 13 13 14 14 14 14
2 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14
1 15 14 14 13 13 13 13 13 13 14 14 14 14 14 14
0 15 14 14 14 13 13 13 13 14 14 14 14 14 14 14
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