olymmath

HMMT 2012 C7

  • Combinatorics
  • Answer

You are repeatedly flipping a fair coin. What is the expected number of flips until the first time that your previous 2012 flips are 'HTHT...HT'?

Dataset text NuminaMath olympiads. Quoted with source.

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\left(2^{2014}-4\right) / 3

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