17
QuizMultiple Choice

Probability with Combinations and Permutations — Quiz

Question 17 • Concepts in Probability and Statistics

A standard deck of 52 playing cards contains 13 cards in each of four suits: diamonds, hearts, clubs, and spades. Two cards are chosen from the deck at random. What is the approximate probability of choosing one club and one heart?

Answer
A
0 point 0 6 3 7
B
0 point 1 2 7 5
C
0 point 0 5 8 8
D
0 point 1 1 7 6

Explanation

There are 13 clubs and 13 hearts, so there are 13 × 13 = 169 ways to choose one of each. The total number of ways to choose 2 cards from 52 is 52 × 51 ÷ 2 = 1,326. Thus the probability is 169 ÷ 1,326 ≈ 0.1275, which is choice D.

AI-written and checked against the verified answer.

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