math

The diagram below shows the contents of a jar from which you select marbles at random.
There are 4 red marbles, 7 blue marbles, and 5 green marbles.
(A). What is the probability of selecting a red marble, replacing it, and then selecting a blue marble?
(B). What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble?
(C). Are the answers to part (A) and part (B) the same? why or why not?

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  1. a) prob(red) = 4/16 = 1/4
    your are replacing the marble, so you are back to 16
    prob(blue) = 7/16
    so prob(red, then blue) = (1/4)(7/16) = 7/64 or appr .109

    b) prob(red) = 1/4 , just as before
    but you are not returning the marble, so there are only 15 left
    prob(blue) = 7/15
    prob(red, then blue) = (1/4)(7/15) = 7/60 = appr .117

    c) leave it up to you ....

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    posted by Reiny
  2. thank you for your help!

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