7
QuizMultiple Choice

Probability with Combinations and Permutations

Question 7 • TN-Algebra II B SC 26-27 (For Credit)

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
0
0.0588
0
0.0637
0
0.1176
0
0.1275

Explanation

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

AI-written and checked against the verified answer.

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