17
QuizMultiple Choice

Probability with Combinations and Permutations

Question 17 • Fall 24 GMS Geometry: Concepts and Connections B

A landscaper is selecting two trees to plant. He has five to choose from. Three of the five are deciduous and two are evergreen.What is the probability that he chooses trees of two different types? Express your answer as a percent.

Answer
3
30%
4
40%
5
50%
6
60%

Explanation

There are 3 × 2 = 6 ways to choose one deciduous tree and one evergreen tree. Altogether, choosing any 2 trees from 5 gives 5 × 4 ÷ 2 = 10 possible pairs. Thus, the probability is 6/10 = 60%, so the answer is 60%.

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