Conditional Probabilityhard
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In a game show, there are three curtains. Behind one is a car; behind the others are goats. You pick Curtain 1. The host, who knows where the car is, opens Curtain 2 to reveal a goat. You are then offered the choice to switch to Curtain 3. If the host opened Curtain 2 at random from the remaining two (without knowing where the car is), what is the probability that switching leads to winning the car?
In a game show, there are three curtains. Behind one is a car; behind the others are goats. You pick Curtain 1. The host, who knows where the car is, opens Curtain 2 to reveal a goat. You are then offered the choice to switch to Curtain 3. If the host opened Curtain 2 at random from the remaining two (without knowing where the car is), what is the probability that switching leads to winning the car?