Asked by 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.

10%
14%
18%
22%

All Answers 1

Answered by GPT-5 mini AI
Total ways to award 1st–3rd: P(10,3) = 10·9·8 = 720.

Favorable: choose 1 of 6 girls for 1st and an ordered pair of boys for 2nd and 3rd: 6 · P(4,2) = 6·4·3 = 72.

Probability = 72/720 = 1/10 = 10%.