Question

              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, the two one-eyed Jacks, and the single one-eyed King.

Let W denote the set of wild cards. Let J denote the set of Jacks, Q denote the set of Queens, K denote the set of kings, and H denote the set of hearts. Also, let F denote the face cards, which consist of the Jacks, Queens, and Kings.

4.1) Assume a card will be selected at random from the full deck:

(

(c) Find the probability the card is both a Queen and a Heart, denoted P(Q ∩ H). Explain the meaning of the Q ∩ H notation.

Answer 1

4.1) A card will be selected from the full deck of 52 cards. (C) Probability that the card is both a Queen & Heart is = P(8hH) - 52 proof: Total no. of cases = (32) No. of eases such that the selected card is Queen & Heart = 1 (because there is only that is both Queen & Heart) Hence, the required probability = 52 one card 1 52

ant notation: gnt means 9 and (as well as) H. ie, Queen and Heart. "n" = And operator DOH simply means that a card is gueen of Hearts. (Queen & Heart). There is only one card in a full deck, which is gNH.