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A bag contains 15 marbles. The probability of randomly selecting a green marble is 1/5. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a blue marble is 2/25 How many blue marbles are in the bag?

A. 2
B. 3
C. 5
D. 6

Respuesta :

DeanR

When we draw with replacement we have independent events and the probability of the conjunction is the product of the individual probabilities.


P(Green first & Blue second) = P(Green first) P(Blue second) = P(Green) P(Blue)


P(Blue) = P(Green first & Blue second) / P(Green) = (2/25)/(1/5) = 2/5


So 2/5 of the marbles are blue, (2/5)(15)=6 marbles


Choice D




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