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Previous Year Question (PYQs)



A drawer contains 10 black and 10 brown socks which are all mixed up. What is the smallest number of socks to be taken from the drawer to decide without seeing them, to be sure that there is atleast one pair of socks of the same colour?





Solution

There are only 2 colours (black and brown).
If you pick 2 socks, they could be 1 black and 1 brown.
On picking the 3rd sock, it must match the colour of one of the first two socks.

Answer: 3 socks



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