6
QuizMultiple Choice

Applying Probability Rules

Question 6 • AZ-Common Core Algebra II A

Six girls and four boys have entered the science fair. First, second, and third place awards are to be given out.What is the probability that a girl wins the first place award while boys will receive the second and third place awards? Express your answer as a percent.

Answer
1
10%
1
14%
1
18%
2
22%

Explanation

The probability that a girl wins first place is 6/10. After that, 4 boys remain among 9 contestants, so the probability that boys win second and third is (4/9) × (3/8). Multiplying gives (6/10) × (4/9) × (3/8) = 0.10, or 10%. The correct choice is A, 10%.

AI-written and checked against the verified answer.

Previous
Next