15
practice testMultiple Choice

Practice Test

Question 15 • Geometry

Four girls and six boys are in a Spanish club. Three of the people will be chosen at random to represent the group in a photograph. What is the probability that one girl and two boys will be chosen?

Answer
A
40 percent
B
70 percent
C
60 percent
D
50 percent

Explanation

There are 4 ways to choose the one girl and 15 ways to choose two boys, so there are 4 × 15 = 60 favorable groups. The total number of groups of 3 chosen from 10 people is 10 × 9 × 8 ÷ (3 × 2 × 1) = 120. Thus, the probability is 60 ÷ 120 = 50 percent, so the correct choice is 50 percent.

AI-written and checked against the verified answer.

Previous
Next