Conditional Probabilityhard
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A specialized game show has three curtains. Behind one curtain is a prize, and behind the other two are empty. You pick a curtain. The host, who knows where the prize is, opens one of the other curtains to reveal it is empty. If the host is 'forgetful' and only opens a curtain 50% of the time when he can, and otherwise tells you the game is over, what is the probability that the prize is behind your original curtain given that the host successfully opened an empty curtain?
A specialized game show has three curtains. Behind one curtain is a prize, and behind the other two are empty. You pick a curtain. The host, who knows where the prize is, opens one of the other curtains to reveal it is empty. If the host is 'forgetful' and only opens a curtain 50% of the time when he can, and otherwise tells you the game is over, what is the probability that the prize is behind your original curtain given that the host successfully opened an empty curtain?