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

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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.

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    2022-01-04T19:25:27+00:00

    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)=\frac{5}{8} \times \frac{4}{7}=\frac{5}{14}

    Therefore, P(at least one kindergartner) =1-\frac{5}{14}

                                                                       =\frac{14-5}{14}=\frac{9}{14}=0.643                                      

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