SOLUTION: Mr. Santos is randomly choosing 5 students for a team who will compete in a math quiz bee, and there are 9 girls and 8 boys to choose from. What is the probability of having a team
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Question 1176094: Mr. Santos is randomly choosing 5 students for a team who will compete in a math quiz bee, and there are 9 girls and 8 boys to choose from. What is the probability of having a team made of 3 girls and 2 boys? Answer by ikleyn(52794) (Show Source):
There are = = 84 ways to select 3 girls from 9 girls.
There are = = 28 ways to select 2 boys from 8 boys.
There are 84*28 ways to combine the team of 5 consisting of 3 girls and 2 boys from 9 girls and 8 boys.
There are = = 6188 different ways to select 5 persons from 17 boys and girls.
So the probability under the problem's question is P = = 0.38 = 38%. ANSWER