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081概率简单数值题short

Bertrand's Box Paradox

题目

Three boxes each contain two coins. Box 1 has two gold coins, Box 2 has one gold and one silver coin, and Box 3 has two silver coins. You pick a box uniformly at random, then draw one coin at random from that box. The coin you draw is gold. What is the probability that the other coin in the same box is also gold?

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