olymmath

HMMT 2013 C1

  • Combinatorics
  • Answer

A standard 52 -card deck contains cards of 4 suits and 13 numbers, with exactly one card for each pairing of suit and number. If Maya draws two cards with replacement from this deck, what is the probability that the two cards have the same suit or have the same number, but not both?

Dataset text NuminaMath olympiads. Quoted with source.

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\frac{15}{52}

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