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A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck. How many cards are

A modified deck of cards is created by removing the 9s and 10s, and the red aces, from a regular deck.

  1. How many cards are in this deck?
  2. Given that an 8-card hand has been dealt from this deck, what is the probability of having exactly 3 hearts, 2 diamonds, 2 spades, and 1 club?
  3. When drawing two cards from this deck without replacement, what are the odds against getting a pair (two cards of the same rank)?

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