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A box contains 2 gold and 3 silver coins. Another box contains 3 gold and 3 silver coins. A box is chosen at random, and a coin is drawn from it. If the selected coin is a gold coin, find the probability that it was drawn from the second box.

1 Answer

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by (48.6k points)
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Best answer

Consider G as gold coins, S as silver coins

A as the first box and B as the second box

Assume selecting bags is of equal probability = 1/2

Here we should determine

P (B/G) – Probability of selected gold coin is from the second box

Substituting the values

= 5/9

Hence, the probability of selected gold coin is from the second box is 5/9.

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