Statistical analysis of a "Snakes & ladders" board game
Number of snakes and ladders loaded: 24.
Default simulation config: [DurationOfOneMoveInSeconds = 15, NumberOfIterations = 5000, NumberOfProgressLogs = 10, MaxTurns = 100]. Press ENTER to begin or input custom comma separated values.
Running simulation with 5000 iterations:
Simulation progress: 0% Simulation progress: 10% Simulation progress: 20% Simulation progress: 30% Simulation progress: 40% Simulation progress: 50% Simulation progress: 60% Simulation progress: 70% Simulation progress: 80% Simulation progress: 90% Simulation done. Simulation actual duration: 0s
Game statistical analysis:
Duration per player [min] (15s per move assumed): avg = 9, std dev = 6, min = 2, max = 25. Game will usually have 9 +- 6 (i.e. 3 - 15) duration per player [min] (15s per move assumed).
Jumps: avg = 9, std dev = 7, min = 1, max = 43. Game will usually have 9 +- 7 (i.e. 2 - 16) jumps.
Statistical method and disclaimer:
- Caluclation done by using Monte Carlo analysis on 5000 game runs.
- Probablity of human readable conclusions is 68% as one sigma is meant by "usually".
- Effects of Monte Carlo uncertanity not taken into account in word "usually".
Executing one game with live scores:
Player is on position 0. Dice gave result 2 on throwing number 1. Moved player by 2 to position 2 Player jumped to position 4. <-- IMPORTANT
Player is on position 4. Dice gave result 2 on throwing number 2. Moved player by 2 to position 6
Player is on position 6. Dice gave result 1 on throwing number 3. Moved player by 1 to position 7
Player is on position 7. Dice gave result 1 on throwing number 4. Moved player by 1 to position 8
Player is on position 8. Dice gave result 2 on throwing number 5. Moved player by 2 to position 10
Player is on position 10. Dice gave result 4 on throwing number 6. Moved player by 4 to position 14
Player is on position 14. Dice gave result 1 on throwing number 7. Moved player by 1 to position 15
Player is on position 15. Dice gave result 6 on throwing number 8. Moved player by 6 to position 21
Player is on position 21. Dice gave result 6 on throwing number 9. Moved player by 6 to position 27 Player jumped to position 6. <-- IMPORTANT
Player is on position 6. Dice gave result 5 on throwing number 10. Moved player by 5 to position 11
Player is on position 11. Dice gave result 6 on throwing number 11. Moved player by 6 to position 17
Player is on position 17. Dice gave result 1 on throwing number 12. Moved player by 1 to position 18 Player jumped to position 75. <-- IMPORTANT
Player is on position 75. Dice gave result 4 on throwing number 13. Moved player by 4 to position 79
Player is on position 79. Dice gave result 3 on throwing number 14. Moved player by 3 to position 82 Player jumped to position 80. <-- IMPORTANT
Player is on position 80. Dice gave result 2 on throwing number 15. Moved player by 2 to position 82 Player jumped to position 80. <-- IMPORTANT
Player is on position 80. Dice gave result 1 on throwing number 16. Moved player by 1 to position 81
Player is on position 81. Dice gave result 5 on throwing number 17. Moved player by 5 to position 86
Player is on position 86. Dice gave result 4 on throwing number 18. Moved player by 4 to position 90
Player is on position 90. Dice gave result 4 on throwing number 19. Moved player by 4 to position 94 Player jumped to position 67. <-- IMPORTANT
Player is on position 67. Dice gave result 1 on throwing number 20. Moved player by 1 to position 68
Player is on position 68. Dice gave result 6 on throwing number 21. Moved player by 6 to position 74
Player is on position 74. Dice gave result 5 on throwing number 22. Moved player by 5 to position 79
Player is on position 79. Dice gave result 1 on throwing number 23. Moved player by 1 to position 80
Player is on position 80. Dice gave result 2 on throwing number 24. Moved player by 2 to position 82 Player jumped to position 80. <-- IMPORTANT
Player is on position 80. Dice gave result 3 on throwing number 25. Moved player by 3 to position 83
Player is on position 83. Dice gave result 5 on throwing number 26. Moved player by 5 to position 88 Player jumped to position 62. <-- IMPORTANT
Player is on position 62. Dice gave result 3 on throwing number 27. Moved player by 3 to position 65
Player is on position 65. Dice gave result 1 on throwing number 28. Moved player by 1 to position 66
Player is on position 66. Dice gave result 6 on throwing number 29. Moved player by 6 to position 72 Player jumped to position 98. <-- IMPORTANT
Player is on position 98. Dice gave result 5 on throwing number 30. Player can't move. <-- IMPORTANT
Player is on position 98. Dice gave result 1 on throwing number 31. Moved player by 1 to position 99
Player is on position 99. Dice gave result 5 on throwing number 32. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 2 on throwing number 33. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 2 on throwing number 34. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 3 on throwing number 35. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 5 on throwing number 36. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 2 on throwing number 37. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 4 on throwing number 38. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 3 on throwing number 39. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 4 on throwing number 40. Player can't move. <-- IMPORTANT
Player is on position 99. Dice gave result 1 on throwing number 41. Moved player by 1 to position 100 Player won the game in 41 turns.
Last game statistics: Turns: 41, Jumps: 9, Times player was unable to move: 10