SOLUTION: If a committee of 4 is chosen from 3 boys (Jason,Carol,Billy) and 4 girls (Wanda, Nancy, Jamine, Maria), what is the probability that Billy will be the only boy in the committee ?

Algebra ->  Probability-and-statistics -> SOLUTION: If a committee of 4 is chosen from 3 boys (Jason,Carol,Billy) and 4 girls (Wanda, Nancy, Jamine, Maria), what is the probability that Billy will be the only boy in the committee ?      Log On


   

Question 729338: If a committee of 4 is chosen from 3 boys (Jason,Carol,Billy) and 4 girls (Wanda, Nancy, Jamine, Maria), what is the probability that Billy will be the only boy in the committee ?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There is only one way to choose billy and lock him into slot 1

There are 4 C 3 = 4 ways to choose 3 girls (for the remaining three slots)

So there are 1*4 = 4 ways to pick a committee with Billy as the only boy.

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There are 7 C 4 = 35 ways to pick a committee in all. So the probability to pick a committee with Billy as the only boy is 4/35 which in decimal form is 0.11428571428571