Car hidden behind Door 3 (100 cases)
|
Car hidden behind Door 1 (100 cases)
|
Car hidden behind Door 2 (100 cases)
|
Car hidden behind Door 3 (100 cases)
|
Car hidden behind Door 1 (100 cases)
|
Car hidden behind Door 2 (100 cases)
|
Player initially picks Door 1
|
|
|
|
|
|
|
Host must open Door 2 (100 cases)
|
Host randomly opens Door 2 (50 cases)
|
Host randomly opens Door 3 (50 cases)
|
Host must open Door 3 (100 cases)
|
Host randomly opens Door 3 (50 cases)
|
Host must open Door 3 (100 cases)
|
|
|
|
|
|
|
|
|
Probability 1/3 (100 out of 300)
|
Probability 1/6 (50 out of 300)
|
Probability 1/6 (50 out of 300)
|
Probability 1/3 (100 out of 300)
|
Probability 1/6 (50 out of 300)
|
Probability 1/3 (100 out of 300)
|
Switching wins
|
Switching loses
|
Switching loses
|
Switching wins
|
Switching loses
|
Switching wins
|
If the host has opened Door 2, switching wins twice as often as staying (100 out of 150)
|
If the host has opened Door 3, switching wins twice as often as staying (100 out of 150)
|