Assassin in the Palace/Rebels in the Palace Numbers

This is a listing of possible outcomes for Rebels in the Palace, a variant of Assassin(s) in the Palace created by Xylthixlm.

The game is a nightless setup with 8 Rebels (don't know who anyone else is; win if king is lynched), 3 Guards (know who the king is, but not who the other guards are; win if king+guards outnumber rebels), and 1 King (doesn't know who anyone else is; wins with guards).

Formatting notes:

• The possibilities are given in the form: Rebels v Guards+King (% chance of reaching this stage from the previous one)
• If a faction wins or loses at any point along the tree, that is marked inside the parentheses and the total percent chance that the game will follow that path is given to the right of the parentheses (marked as total: X%).
• Percentages are given to the nearest hundredth of a percentage point in cases of repeating decimals.
• If the percentage is given as (0%; rebels win, but won't happen), this indicates that the number of rebels and the number of non-rebels are exactly equal and that the king was selected for lynch; as half of the players will not vote for the king, the king will not be lynched that day. The other possibilities stemming from the game stage one level up have expected likelihoods that have been modified to reflect this impossibility.
• If the game reaches a state where the only remaining players are one rebel and the king, the game ends happily ever after.

Total percentages are:

1. Rebels: 66% (65.63%)
2. Guards: 26% (26.20%)
3. Happily Ever After: 9% (8.63%)

Note: Percentages do not always equal 100% due to rounding.

8 v 3+1 (100%)

• 7 v 3+1 (66.67%)
  • 6 v 3+1 (63.64%)
    • 5 v 3+1 (60%)
      • 4 v 3+1 (55.56%)
        • 3 v 3+1 (57.14%, guards and king win) total: 8.08%
        • 4 v 2+1 (42.86%)
          • 3 v 2+1 (57.12%)
            • 2 v 2+1 (60%, guards and king win) total: 2.08%
            • 3 v 1+1 (40%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.55%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.18%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.09%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.14%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 3 v 0+0 (25%, rebels win) total: 0.07%
              • 3 v 1+0 (20%, rebels win) total: 0.28%
            • 3 v 2+0 (0%; rebels win, but won't happen)
          • 4 v 1+1 (28.57%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.69%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.23%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.11%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.17%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.09%
                • 3 v 0+0 (25%, rebels win) total: 0.09%
              • 3 v 1+0 (20%, rebels win) total: 0.34%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.17%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.09%
                • 3 v 0+0 (25%, rebels win) total: 0.09%
              • 4 v 0+0 (20%, rebels win) total: 0.09%
            • 4 v 1+0 (16.67%, rebels win) total: 0.43%
          • 4 v 2+0 (14.29%, rebels win) total: 0.87%
        • 4 v 3+0 (0%; rebels win, but won't happen)
      • 5 v 2+1 (33.33%)
        • 4 v 2+1 (62.5%)
          • 3 v 2+1 (57.12%)
            • 2 v 2+1 (60%, guards and king win) total: 1.82%
            • 3 v 1+1 (40%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.48%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.16%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.08%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.12%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.06%
                • 3 v 0+0 (25%, rebels win) total: 0.06%
              • 3 v 1+0 (20%, rebels win) total: 0.24%
            • 3 v 2+0 (0%; rebels win, but won't happen)
          • 4 v 1+1 (28.57%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 4 v 2+0 (14.29%, rebels win) total: 0.76%
        • 5 v 1+1 (25%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 5 v 2+0 (12.5%, rebels win) total: 1.06%
      • 5 v 3+0 (11.11%, rebels win) total: 2.83%
    • 6 v 2+1 (30%)
      • 5 v 2+1 (66.67%)
        • 4 v 2+1 (62.5%)
          • 3 v 2+1 (57.14%)
            • 2 v 2+1 (60%, guards and king win) total: 1.82%
            • 3 v 1+1 (40%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.48%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.16%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.08%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.12%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.06%
                • 3 v 0+0 (25%, rebels win) total: 0.06%
              • 3 v 1+0 (20%, rebels win) total: 0.24%
            • 3 v 2+0 (0%; rebels win, but won’t happen)
          • 4 v 1+1 (28.57%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 4 v 2+0 (14.29%, rebels win) total: 0.76%
        • 5 v 1+1 (25%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 5 v 2+0 (12.5%, rebels win) total: 1.06%
      • 6 v 1+1 (22.22%)
        • 5 v 1+1 (75%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, rebels happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 6 v 0+1 (12.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 6 v 1+0 (12.5%, rebels win) total: 0.35%
      • 6 v 2+0 (11.11%, rebels win) total: 1.41%
    • 6 v 3+0 (10%, rebels win) total: 4.24%
  • 7 v 2+1 (27.27%)
    • 6 v 2+1 (70%)
      • 5 v 2+1 (66.67%)
        • 4 v 2+1 (62.5%)
          • 3 v 2+1 (57.12%)
            • 2 v 2+1 (60%, guards and king win) total: 1.82%
            • 3 v 1+1 (40%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.48%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.16%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.08%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.12%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.06%
                • 3 v 0+0 (25%, rebels win) total: 0.06%
              • 3 v 1+0 (20%, rebels win) total: 0.24%
            • 3 v 2+0 (0%; rebels win, but won't happen)
          • 4 v 1+1 (28.57%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 4 v 2+0 (14.29%, rebels win) total: 0.76%
        • 5 v 1+1 (25%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 5 v 2+0 (12.5%, rebels win) total: 1.06%
      • 6 v 1+1 (22.22%)
        • 5 v 1+1 (75%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 6 v 0+1 (12.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 6 v 1+0 (12.5%, rebels win) total: 0.35%
      • 6 v 2+0 (11.11%, rebels win) total: 1.41%
    • 7 v 1+1 (20%)
      • 6 v 1+1 (77.77%)
        • 5 v 1+1 (75%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 6 v 0+1 (12.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 6 v 1+0 (12.5%, rebels win) total: 0.35%
      • 7 v 0+1 (11.11%)
        • 6 v 0+1 (87.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 7 v 0+0 (12.5%, rebels win) total: 0.05%
      • 7 v 1+0 (11.11%, rebels win) total: 0.40%
    • 7 v 2+0 (10%, rebels win) total: 1.82%
  • 7 v 3+0 (9.09%, rebels win) total: 6.06%
• 8 v 2+1 (25%)
  • 7 v 2+1 (72.73%)
    • 6 v 2+1 (70%)
      • 5 v 2+1 (66.67%)
        • 4 v 2+1 (62.5%)
          • 3 v 2+1 (57.14%)
            • 2 v 2+1 (60%, guards and king win) total: 1.82%
            • 3 v 1+1 (40%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.48%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.16%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.08%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.12%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.06%
                • 3 v 0+0 (25%, rebels win) total: 0.06%
              • 3 v 1+0 (20%, rebels win) total: 0.24%
            • 3 v 2+0 (0%; rebels win, but won't happen)
          • 4 v 1+1 (28.57%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 4 v 2+0 (14.29%, rebels win) total: 0.76%
        • 5 v 1+1 (25%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 5 v 2+0 (12.5%, rebels win) total: 1.06%
      • 6 v 1+1 (22.22%)
        • 5 v 1+1 (75%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 6 v 0+1 (12.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 6 v 1+0 (12.5%, rebels win) total: 0.35%
      • 6 v 2+0 (11.11%, rebels win) total: 1.41%
    • 7 v 1+1 (20%)
      • 6 v 1+1 (77.77%)
        • 5 v 1+1 (75%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won’t happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 6 v 0+1 (12.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 6 v 1+0 (12.5%, rebels win) total: 0.35%
      • 7 v 0+1 (11.11%)
        • 6 v 0+1 (87.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 7 v 0+0 (12.5%, rebels win) total: 0.05%
      • 7 v 1+0 (11.11%, rebels win) total: 0.40%
    • 7 v 2+0 (10%, rebels win) total: 1.82%
  • 8 v 1+1 (18.18%)
    • 7 v 1+1 (80%)
      • 6 v 1+1 (77.77%)
        • 5 v 1+1 (75%)
          • 4 v 1+1 (71.43%)
            • 3 v 1+1 (66.67%)
              • 2 v 1+1 (60%)
                • 1 v 1+1 (66.67%, guards and king win) total: 0.40%
                • 2 v 0+1 (33.33%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.13%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.07%
                • 2 v 1+0 (0%; rebels win, but won't happen)
              • 3 v 0+1 (20%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 3 v 1+0 (20%, rebels win) total: 0.20%
            • 4 v 0+1 (16.67%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 4 v 1+0 (16.67%, rebels win) total: 0.25%
          • 5 v 0+1 (14.29%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 5 v 1+0 (14.29%, rebels win) total: 0.30%
        • 6 v 0+1 (12.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 6 v 1+0 (12.5%, rebels win) total: 0.35%
      • 7 v 0+1 (11.11%)
        • 6 v 0+1 (87.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 7 v 0+0 (12.5%, rebels win) total: 0.05%
      • 7 v 1+0 (11.11%, rebels win) total: 0.40%
    • 8 v 0+1 (10%)
      • 7 v 0+1 (88.89%)
        • 6 v 0+1 (87.5%)
          • 5 v 0+1 (85.71%)
            • 4 v 0+1 (83.33%)
              • 3 v 0+1 (80%)
                • 2 v 0+1 (75%)
                  • 1 v 0+1 (66.67%, happily ever after) total: 0.10%
                  • 2 v 0+0 (33.33%, rebels win) total: 0.05%
                • 3 v 0+0 (25%, rebels win) total: 0.05%
              • 4 v 0+0 (20%, rebels win) total: 0.05%
            • 5 v 0+0 (16.67%, rebels win) total: 0.05%
          • 6 v 0+0 (14.29%, rebels win) total: 0.05%
        • 7 v 0+0 (12.5%, rebels win) total: 0.05%
      • 8 v 0+0 (11.11%, rebels win) total: 0.05%
    • 8 v 1+0 (10%, rebels win) total: 0.45%
  • 8 v 2+0 (9.09%, rebels win) total: 2.27%
• 8 v 3+0 (8.33%, rebels win) total: 8.33%