SOLUTION: Out of 100 raffle tickets, 4 are marked with a prize. Matthew randomly selects two tickets from the box. What is the probabilty that Mathew gets exactly one of the prizes?

Question 1140149: Out of 100 raffle tickets, 4 are marked with a prize. Matthew randomly selects two tickets from the box. What is the probabilty that Mathew gets exactly one of the prizes?
Answer by ikleyn(52879) (Show Source): You can put this solution on YOUR website!
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There are   =  = 4950 different pairs to form of 100 tickets (without looking on ordering inside these pairs).


It is the space of all samples.



Of them, exactly  4*(100-4) = 4*96 = 384 different pairs contain precisely one of 4 prize tickets.



So, the probability under the question is   = 0.07758 = 7.758%.

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