olymmath

HMMT 2019 C4

  • Combinatorics
  • Answer

Yannick is playing a game with 100 rounds, starting with 1 coin. During each round, there is a n%n \% chance that he gains an extra coin, where nn is the number of coins he has at the beginning of the round. What is the expected number of coins he will have at the end of the game?

Dataset text NuminaMath olympiads. Quoted with source.

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1.01^{100}

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