Conditional Probabilityhard
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A game show host presents three opaque boxes. One contains a gold coin, one a silver coin, and one is empty. You choose a box. The host, who knows the contents, opens one of the other boxes to reveal it is empty. If the host opens the box with probability when he can, what is the probability that the gold coin is in the box you originally selected?
A game show host presents three opaque boxes. One contains a gold coin, one a silver coin, and one is empty. You choose a box. The host, who knows the contents, opens one of the other boxes to reveal it is empty. If the host opens the box with probability when he can, what is the probability that the gold coin is in the box you originally selected?