6. A standard deck of 52 cards contains: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack,

ID: 2970779 • Letter: 6

Question

6. A standard deck of 52 cards contains:

Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King of Clubs Black cards:

Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King of Spades

Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King of Hearts Red cards:

Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King of Diamonds

a. If two cards are chosen at random from the deck, one at a time, without replacement, find the

probability that the first card is an King and the second is a Jack.

b. If two cards are picked at random from the deck, one at a time, with replacement, find the probability

that the cards chosen are both diamonds.

c. If one card is picked at random from the deck, one at a time, with replacement, find the probability of

getting a Queen or a Heart.

(a) P(King then Jack ) = (4/52) * (4/51) = 4/663

(b) With replacement, the probability that we draw two diamonds is

1/4 * 1/4 = 1/16

P(Q or H) = P(Q) + P(H) - P(Q and H) = 4/52 + 13/52 - 1/52 = 16/52 = 4/13

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