Stela P.

asked • 12/19/20

isn't it a question on conditional probability? If not then why?

A bag contains 3 red marbles and 4 blue marbles. Two marbles are drawn at random without replacement. If the first marble drawn is blue, what is the probability the second marble is also blue?


1 Expert Answer

By:

Tom K. answered • 12/19/20

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Stela P.

can you provide the solution for the same?
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12/19/20

Tom K.

A combination answer would be P(2nd is blue|first is blue) = P(2 blues)/P(first blue) P(2 blues) = C(4,2)/C(7,2) = 6/21 = 2/7 P(first blue) = 4/7 P(2nd is blue|first is blue) = 2/7/(4/7) = 1/2 Without knowing the instructions given, I can't really say what the right answer is.
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12/19/20

Tom K.

If your answer was not 1/2, then the problem was with your use of conditional expectation. I am assuming that your answer was based on 3 blue balls remaining out of 6, so the probability is 3/6 = 1/2.
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12/19/20

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