Discussion
Suresh keeps all his socks in a single drawer. He has 24 pairs of white socks and 18 pairs of grey socks. Suresh picks 3 socks randomly. Find the possibility of Suresh choosing a matching pair.
Answer: D
There are only two colours of sock in the drawer, so consider the worst case.
The first two socks might be one white and one grey. But the third must match one of them, since there is no third colour available.
\[ P = 1 \]
This is the pigeonhole principle: three items sorted into two categories force at least two into the same one. The actual numbers of pairs never enter the argument.
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