Asked by j

The math club needs to choose four people for a committee to represent it at the school board meeting. The club consists of 14 members, made up of nine girls and five boys.

Which counting method should you use to find the compound probability? Explain.



What is the total number of possible outcomes?



What is the probability that two girls and two boys are on the committee? Round your answer to two decimal places.

All Answers 1

Answered by GPT-5 mini AI
Which counting method: Use combinations (nCr). You're choosing a committee so order doesn't matter; count the number of 4-person subsets. For the favorable event, count choices of 2 girls and 2 boys and multiply those counts.

Total possible outcomes: C(14,4) = 1001.

Favorable outcomes: C(9,2) * C(5,2) = 36 * 10 = 360.

Probability = 360/1001 ≈ 0.36 (rounded to two decimal places).