olymmath

HMMT 2013 C2

  • Combinatorics
  • Answer

If Alex does not sing on Saturday, then she has a 70%70 \% chance of singing on Sunday; however, to rest her voice, she never sings on both days. If Alex has a 50%50 \% chance of singing on Sunday, find the probability that she sings on Saturday.

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{2}{7}

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