┌──────── game 1 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 2 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 3 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 4 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 5 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 6 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 7 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 8 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 9 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 10 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 11 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 12 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 13 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 14 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 15 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 16 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 17 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 18 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 19 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 20 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 21 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 22 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 23 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 24 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 25 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 26 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 27 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 28 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 29 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 30 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 31 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 32 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 33 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 34 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 35 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 36 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 37 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 38 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 39 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 40 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 41 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 42 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 43 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 44 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 45 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 46 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 47 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 48 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 49 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 50 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 51 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 52 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 53 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 54 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 55 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 56 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 57 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 58 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 59 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 60 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 61 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 62 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 63 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 64 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 65 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 66 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 67 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 68 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 69 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 70 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 71 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 72 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 73 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 74 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 75 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 76 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 77 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 78 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 79 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 80 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 81 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 82 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 83 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 84 ──────────┐ │ • your door: 1 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 85 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 86 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 87 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 88 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 89 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 90 ──────────┐ │ • your door: 2 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 91 ──────────┐ │ • your door: 1 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 92 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 93 ──────────┐ │ • your door: 1 │ │ • car is behind: 2 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 94 ──────────┐ │ • your door: 0 │ │ • car is behind: 0 │ │ • Monty picked door 2 │ │ • you win by: sticking │ └──────── game over ─────────┘ ┌──────── game 95 ──────────┐ │ • your door: 2 │ │ • car is behind: 1 │ │ • Monty picked door 0 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 96 ──────────┐ │ • your door: 0 │ │ • car is behind: 2 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 97 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 98 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 99 ──────────┐ │ • your door: 2 │ │ • car is behind: 0 │ │ • Monty picked door 1 │ │ • you win by: changing │ └──────── game over ─────────┘ ┌──────── game 100 ──────────┐ │ • your door: 0 │ │ • car is behind: 1 │ │ • Monty picked door 2 │ │ • you win by: changing │ └──────── game over ─────────┘ wins by changing: 63 wins by sticking: 37