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Question

# There are 3 boxes each having two drawers The first box contains a gold coin in each drawer. The second, a gold coin in one drawer and a silver coin in the other. The third box contains a silver coin in each drawer. A box is chosen at random and a drawer is opened. If a gold coin is found in that drawer, then the probability that the other drawer also contains a gold coin is

A
13
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B
25
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C
23
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D
35
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Solution

## The correct option is C 23if boxes are B1,B2,B3,P(Bi,)=1/3fori=1,2,3P(GB1)=1,P(GB2)=1/2,P(GB3)=0by Baye's theoremP(B1G)=1×1/31×1/3+1/2×1/3+0=2/3

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