You draw one card from a shuffled standard deck of cards (cards are in four suits - red diamonds, red hearts, black clubs, and black spades - and are numbered 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, a).

a. what is the probability of drawing a red card?

b. what is the probability of drawing a queen?

c. what is the probability of drawing a red queen?

d. what is the probability of drawing a queen given that you drew a face card (face cards are jacks, queens, and kings)

Question

Mathematics

Jonas Burnett

22 June, 23:41

You draw one card from a shuffled standard deck of cards (cards are in four suits - red diamonds, red hearts, black clubs, and black spades - and are numbered 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, a).

a. what is the probability of drawing a red card?

b. what is the probability of drawing a queen?

c. what is the probability of drawing a red queen?

d. what is the probability of drawing a queen given that you drew a face card (face cards are jacks, queens, and kings)

+5

Answers (1)

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Brodie Fletcher · Answer 1

P (red card) = 1/2

P (queen) = 1/13

P (red queen) = 1/26

P (queen given face card) = 1/3

There are 26 red cards out of 52; the probability is 26/52 = 1/2.

There are 4 queens out of 52 cards; the probability is 4/52 = 1/13.

There are 2 red queens out of 52 cards; the probability is 2/52 = 1/26.

There are 12 face cards (4 jacks, 4 queens, and 4 kings). Out of those, there are 4 queens. The probability is 4/12 = 1/3.