SNAP 2010 Question Paper

Question 66

A drawer contains 10 black and 10 brown socks which are all mixed up. What is the fewest number of socks you can take from the drawer without looking and be sure to get a pair of the same color?

Solution

For this, we have to consider the worst possible case.

Suppose we get a black piece in the 1st pick and then a brown one in the 2nd pick.

In the 3rd pick, we will either get a black one or a brown one and when it will be placed with the previous two pieces, we will definitely get a pair of socks of the same colour.

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