Asked by tim

A standard deck of 52 playing cards contains four of each numbered card 2–10 and four each of aces, kings, queens, and jacks. Two cards are chosen from the deck at random.

Which expression represents the probability of drawing a king and a queen?

StartFraction (4 P 1) (3 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (3 C 1) Over 52 C 2 EndFraction
StartFraction (4 P 1) (4 P 1) Over 52 P 2 EndFraction
StartFraction (4 C 1) (4 C 1) Over 52 C 2 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Answer: StartFraction (4 C 1) (4 C 1) Over 52 C 2 EndFraction.

Reason: Order doesn't matter, so count combinations. Favorable = choose 1 king from 4 and 1 queen from 4 = 4·4 = 16. Total = C(52,2) = 1326. Probability = 16/1326 = 8/663 ≈ 0.01206.