14
QuizMultiple Choice

Probability with Combinations and Permutations — Quiz

Question 14 • Concepts in Probability and Statistics

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
A
60 percent
B
30 percent
C
40 percent
D
50 percent

Explanation

There are 3 × 2 = 6 ways to choose one deciduous tree and one evergreen tree. There are 5 × 4 ÷ 2 = 10 ways to choose any two trees. So the probability of choosing two different types is 6 ÷ 10 = 0.60, or 60 percent. The correct choice is 60 percent.

AI-written and checked against the verified answer.

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