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Q.

A drawer contains several pairs of socks. Not wanting to count Mr.A asked miss X how many pairs of socks are there in the drawer?””. Miss X, not wanting to give answer replied, “well probability that each sock has exactly one matching pair is 1/15”. Then the answer to Mr.A’s questions is ….

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answer is 8.

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Detailed Solution

Let the no. of socks be 2n forming n-pairs of socks
$P (A) = \frac{^{n} C_{1}}{^{2 n} C_{2}} = \frac{1}{15} \Rightarrow n = 8$

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