Secret Hitler Player Probabilities

Player Count Liberal Count Fascist Count Hitler Count P(Liberal) P(Fascist) P(Hitler) P(Hitler | Fascist)
5 3 1 1 60% 20% 20% 50%
6 4 1 1 66.67% 16.67% 16.67% 50%
7 4 2 1 57.14% 28.57% 14.29% 33.33%
8 5 2 1 62.5% 25% 12.5% 33.33%
9 5 3 1 55.56% 33.33% 11.11% 25%
10 6 3 1 60% 30% 10% 25%

Secret Hitler Policy Card Draw Probabilities

Fascist Cards Liberal Cards Total Cards P(FFF) P(FFL) P(FLL) P(LLL) ∃xP(L) P(F Top Card) P(L Top Card)
11 6 17 24.26% 48.53% 24.26% 2.94% 75.74% 64.71% 35.29%
11 5 16 29.46% 49.11% 19.64% 1.79% 70.54% 68.75% 31.25%
10 6 16 21.43% 48.21% 26.79% 3.57% 78.57% 62.5% 37.5%
11 4 15 36.26% 48.35% 14.51% 0.88% 63.74% 73.33% 26.67%
10 5 15 26.37% 49.45% 21.98% 2.2% 73.63% 66.67% 33.33%
9 6 15 18.46% 47.47% 29.67% 4.4% 81.54% 60% 40%
11 3 14 45.33% 45.33% 9.07% 0.27% 54.67% 78.57% 21.43%
10 4 14 32.97% 49.45% 16.48% 1.1% 67.03% 71.43% 28.57%
9 5 14 23.08% 49.45% 24.73% 2.75% 76.92% 64.29% 35.71%
8 6 14 15.38% 46.15% 32.97% 5.49% 84.62% 57.14% 42.86%
11 2 13 57.69% 38.46% 3.85% 0% 42.31% 84.62% 15.38%
10 3 13 41.96% 47.2% 10.49% 0.35% 58.04% 76.92% 23.08%
9 4 13 29.37% 50.35% 18.88% 1.4% 70.63% 69.23% 30.77%
8 5 13 19.58% 48.95% 27.97% 3.5% 80.42% 61.54% 38.46%
7 6 13 12.24% 44.06% 36.71% 6.99% 87.76% 53.85% 46.15%
11 1 12 75% 25% 0% 0% 25% 91.67% 8.33%
10 2 12 54.55% 40.91% 4.55% 0% 45.45% 83.33% 16.67%
9 3 12 38.18% 49.09% 12.27% 0.45% 61.82% 75% 25%
8 4 12 25.45% 50.91% 21.82% 1.82% 74.55% 66.67% 33.33%
7 5 12 15.91% 47.73% 31.82% 4.55% 84.09% 58.33% 41.67%
6 6 12 9.09% 40.91% 40.91% 9.09% 90.91% 50% 50%
11 0 11 100% 0% 0% 0% 0% 100% 0%
10 1 11 72.73% 27.27% 0% 0% 27.27% 90.91% 9.09%
9 2 11 50.91% 43.64% 5.45% 0% 49.09% 81.82% 18.18%
8 3 11 33.94% 50.91% 14.55% 0.61% 66.06% 72.73% 27.27%
7 4 11 21.21% 50.91% 25.45% 2.42% 78.79% 63.64% 36.36%
6 5 11 12.12% 45.45% 36.36% 6.06% 87.88% 54.55% 45.45%
5 6 11 6.06% 36.36% 45.45% 12.12% 93.94% 45.45% 54.55%
10 0 10 100% 0% 0% 0% 0% 100% 0%
9 1 10 70% 30% 0% 0% 30% 90% 10%
8 2 10 46.67% 46.67% 6.67% 0% 53.33% 80% 20%
7 3 10 29.17% 52.5% 17.5% 0.83% 70.83% 70% 30%
6 4 10 16.67% 50% 30% 3.33% 83.33% 60% 40%
5 5 10 8.33% 41.67% 41.67% 8.33% 91.67% 50% 50%
4 6 10 3.33% 30% 50% 16.67% 96.67% 40% 60%
9 0 9 100% 0% 0% 0% 0% 100% 0%
8 1 9 66.67% 33.33% 0% 0% 33.33% 88.89% 11.11%
7 2 9 41.67% 50% 8.33% 0% 58.33% 77.78% 22.22%
6 3 9 23.81% 53.57% 21.43% 1.19% 76.19% 66.67% 33.33%
5 4 9 11.9% 47.62% 35.71% 4.76% 88.1% 55.56% 44.44%
4 5 9 4.76% 35.71% 47.62% 11.9% 95.24% 44.44% 55.56%
3 6 9 1.19% 21.43% 53.57% 23.81% 98.81% 33.33% 66.67%
8 0 8 100% 0% 0% 0% 0% 100% 0%
7 1 8 62.5% 37.5% 0% 0% 37.5% 87.5% 12.5%
6 2 8 35.71% 53.57% 10.71% 0% 64.29% 75% 25%
5 3 8 17.86% 53.57% 26.79% 1.79% 82.14% 62.5% 37.5%
4 4 8 7.14% 42.86% 42.86% 7.14% 92.86% 50% 50%
3 5 8 1.79% 26.79% 53.57% 17.86% 98.21% 37.5% 62.5%
2 6 8 0% 10.71% 53.57% 35.71% 100% 25% 75%
7 0 7 100% 0% 0% 0% 0% 100% 0%
6 1 7 57.14% 42.86% 0% 0% 42.86% 85.71% 14.29%
5 2 7 28.57% 57.14% 14.29% 0% 71.43% 71.43% 28.57%
4 3 7 11.43% 51.43% 34.29% 2.86% 88.57% 57.14% 42.86%
3 4 7 2.86% 34.29% 51.43% 11.43% 97.14% 42.86% 57.14%
2 5 7 0% 14.29% 57.14% 28.57% 100% 28.57% 71.43%
1 6 7 0% 0% 42.86% 57.14% 100% 14.29% 85.71%
6 0 6 100% 0% 0% 0% 0% 100% 0%
5 1 6 50% 50% 0% 0% 50% 83.33% 16.67%
4 2 6 20% 60% 20% 0% 80% 66.67% 33.33%
3 3 6 5% 45% 45% 5% 95% 50% 50%
2 4 6 0% 20% 60% 20% 100% 33.33% 66.67%
1 5 6 0% 0% 50% 50% 100% 16.67% 83.33%
0 6 6 0% 0% 0% 0% 100% 0% 100%
5 0 5 100% 0% 0% 0% 0% 100% 0%
4 1 5 40% 60% 0% 0% 60% 80% 20%
3 2 5 10% 60% 30% 0% 90% 60% 40%
2 3 5 0% 30% 60% 10% 100% 40% 60%
1 4 5 0% 0% 60% 40% 100% 20% 80%
0 5 5 0% 0% 0% 0% 100% 0% 100%
4 0 4 100% 0% 0% 0% 0% 100% 0%
3 1 4 25% 75% 0% 0% 75% 75% 25%
2 2 4 0% 50% 50% 0% 100% 50% 50%
1 3 4 0% 0% 75% 25% 100% 25% 75%
0 4 4 0% 0% 0% 0% 100% 0% 100%
3 0 3 100% 0% 0% 0% 0% 100% 0%
2 1 3 0% 100% 0% 0% 100% 66.67% 33.33%
1 2 3 0% 0% 100% 0% 100% 33.33% 66.67%
0 3 3 0% 0% 0% 0% 100% 0% 100%