Answer
When you switch doors, you have a 2/3 probability of winning.
P(Win|Switch) = 2/3 = 66.67%
When you don't switch doors, you have a 1/3 probability of winning.
P(Win|No Switch) = 1/3 = 33.33%
Work Step by Step
When you switch doors, you have a 2/3 probability of winning.
P(Win|Switch) = 2/3 = 66.67%
When you don't switch doors, you have a 1/3 probability of winning.
P(Win|No Switch) = 1/3 = 33.33%