HMMT 2024 C8
- Combinatorics
- Answer
Rishabh has 2024 pairs of socks in a drawer. He draws socks from the drawer uniformly at random, without replacement, until he has drawn a pair of identical socks. Compute the expected number of unpaired socks he has drawn when he stops.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{4^{2024}}{\binom{4048}{2024}}-2
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