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In: Statistics and Probability

There are two bags of coins. In the first bag there are 3 gold, 2 silver...

There are two bags of coins. In the first bag there are 3 gold, 2 silver coins. In the second bag there are 1 gold, 4 silver coins. 2 coins are randomly picked from the first bag, and then dropped into the second bag. Then a coin is randomly selected from the second bag. If this coin is a gold coin, what is the probability that both coins picked from the first bag were gold?

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