Monty Hall Probabilities
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1
Simulation results:
Calculated expectation:
2
Player stays & wins:33.64%33.33%
3
Player switches & wins:66.36%66.67%
4
5
Car hidden behind door #
Player's first choice:
Host shows door #
Player stays & wins?
Player switches & wins?
6
33110
7
33110
8
21301
9
21301
10
31201
11
21301
12
11310
13
32101
14
22310
15
31201
16
32101
17
33210
18
31201
19
22310
20
22110
21
23101
22
33210
23
21301
24
22110
25
12301
26
13201
27
12301
28
11210
29
23101
30
11210
31
23101
32
31201
33
33210
34
31201
35
31201
36
23101
37
33110
38
22110
39
12301
40
31201
41
13201
42
11210
43
32101
44
22310
45
22310
46
22110
47
32101
48
32101
49
12301
50
31201
51
21301
52
21301
53
11310
54
13201
55
11210
56
23101
57
12301
58
22310
59
21301
60
32101
61
23101
62
11310
63
12301
64
12301
65
23101
66
22310
67
12301
68
13201
69
23101
70
21301
71
22310
72
22310
73
21301
74
21301
75
12301
76
33210
77
31201
78
23101
79
31201
80
12301
81
21301
82
13201
83
21301
84
12301
85
31201
86
22310
87
11210
88
13201
89
21301
90
12301
91
23101
92
21301
93
32101
94
12301
95
11310
96
13201
97
32101
98
33210
99
13201
100
12301
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