Question

A carpool contains three kindergartners and five first-graders. if two children are ill, find the probability that at least one of them is a kindergartner.

Answer 1

Solution: We are given that there are three kindergartners and five first-graders.

We have to find the probability that at least one of them is a kindergartner.

We know that:

P(at least one kindergartner) = 1 - P(no kindergartner) = 1 - P(all first-graders)

Now, P(all first-graders)
`=(5)/(8) * (4)/(7)=(5)/(14)`

Therefore, P(at least one kindergartner)
`=1-(5)/(14)`

`=(14-5)/(14)=(9)/(14)=0.643`