Ononot — Three boxes B1, B2, B3 contain coins. B1 has 2 gold, B2 has

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Conditional Probabilityhard

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Three boxes $B_1, B_2, B_3$ contain coins. $B_1$ has 2 gold, $B_2$ has 2 silver, $B_3$ has 1 gold and 1 silver. A box is chosen at random and a coin is drawn. Given the coin is gold, what is the probability that the box chosen was $B_1$ ?