6
QuizMultiple Choice

Probability with Combinations and Permutations

Question 6 • Fall 24 GMS Geometry: Concepts and Connections B

A restaurant offers three vegetable side dishes, two fruit side dishes, and five grain-based side dishes. Each entree comes with two side dishes.What is the approximate probability of randomly choosing one vegetable and one grain-based side dish?

Answer
0
0.08889
0
0.17778
0
0.16667
0
0.33333

Explanation

There are 10 side dishes total, so the number of ways to choose two is 10 × 9 ÷ 2 = 45. A favorable pair has one vegetable and one grain-based side dish, giving 3 × 5 = 15 possible pairs. The probability is 15 ÷ 45 = 0.33333, so the answer is D, 0.33333.

AI-written and checked against the verified answer.

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