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Suppose that a scientist has bred two litters of rodents in his lab, with the first...

Suppose that a scientist has bred two litters of rodents in his lab, with the first litter containing two brown-haired rodents and one grey-haired, and the second litter containing three brown-haired rodents and two grey haired. 1) Suppose that I choose one of the litters at random, and randomly choose a rodent from it. What is the probability that the rodent I select will have brown hair? 2) Given that I have selected a brown-haired rodent, what is the probability that the sampling was from the first litter?

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