Which deck for two reds?

MediumProbability~5m

Deck X is a standard 52-card deck (26 red). Deck Y is two decks combined: 104 cards, 52 red. You draw two cards without replacement from one deck and win if both are red. Which deck gives the better chance?

Show hints (2)+
  1. Compute the exact probability for each deck.
  2. Larger populations are closer to independent.

Answer

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Deck Y (104 cards)

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Asked at: SIG, DRW

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