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Math Help - Probability

  1. #1
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    Question Probability

    Bag A contains 3 blue balls and 6 white balls. Bag B contains 5 blue balls and 7 white balls. 2 balls are drawn from bag A and 1 ball from bag B. Find the probability that out of 3 balls drawn,2 are blue and 1 is white.

    I calculated the probability to be 37/144 but the answer provided is 49/108. Is the answer provided correct?

    Thanks a lot!
    Last edited by cyt91; February 12th 2010 at 08:51 AM.
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  2. #2
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    Quote Originally Posted by cyt91 View Post
    Bag A contains 3 blue balls and 6 white balls. Bag B contains 5 blue balls and 7 white balls. 2 balls are drawn from bag A and 1 ball from bag B. Find the probability that out of 3 balls drawn,2 are blue and 1 is white.

    I calculated the probability to be 37/144 but the answer provided is 49/108. Is the answer provided correct?

    Thanks a lot!
    You are correct,
    the book answer has erroneously calculated 2 blues from B and 1 white from B,
    along with 1 blue and 1 white from A plus 1 blue from B.
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