HMMT 2020 C6
- Combinatorics
Alice writes 1001 letters on a blackboard, each one chosen independently and uniformly at random from the set . A move consists of erasing two distinct letters from the board and replacing them with the third letter in . What is the probability that Alice can perform a sequence of moves which results in one letter remaining on the blackboard?
Dataset text NuminaMath olympiads. Quoted with source.
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