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Looking closely, you will see that the Jack of Spades and the Jack of Hearts are revealing only one eye. These are the one-eyed Jacks

Looking closely, you will see that the Jack of Spades and the Jack of Hearts are revealing only one eye. These are the "one-eyed Jacks" and are used as wild cards in a popular home version of poker, along with the four 2's (or "Deuces"). The King of Diamonds is also showing only one eye, so let us include it among the wild cards.

That gives us a total of 7 wild cards:

  • the four 2's plus
  • the two one-eyed Jacks plus
  • the single one-eyed King.

Let W denote the set of wild cards. Let C denote a club.

Find P(C|W) =

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