Conditional probability · Game show
The host knows
A game show has 3 closed doors. One hides a car, the others hide goats. You pick door 1. The host, who knows where the car is, opens 1 of the other doors, always revealing goats, and leaves exactly one other door closed. You may switch to that door. What is the probability you win the car if you switch?
Answer with a probability. First lock in a gut guess with an 80% range, then solve it properly, then watch a simulation settle on the truth.
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