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5 November, 02:58

A bag contains 8 blue marbles 5 red marbles and 2 orange marbles, Carolina picks a marble from the bag at random and returns it to the bag and makes a second random selection. What is the probability that two blue marbles were selected

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  1. 5 November, 03:15
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    Initial total number of marbles: 8 + 5 + 2 = 15

    Initial number of blue marbles: 8

    First pick:

    p (blue marble) = 8/15

    Since the marble from the first pick is returned to the bag, the bag still contains 8 blue marbles and a total of 15 marbles.

    Second pick:

    p (blue marble) = 8/15

    Overall:

    p (blue marble followed by blue marble) =

    = p (blue marble) * p (blue marble)

    = 8/15 * 8/15

    = 64/225
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