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One bag contains 4 white balls and 6 black balls. Another bag contains 8 white balls and 2 black balls. A coin tossed to select a bad, then a ball is randomly selected from that bag.
Suppose white ball was drawn. What is the probability that it came from the first bag?

  • MATH 12 HELP! -

    Since a coin toss is used to select either bag1 or bag2
    the prob that bag1 is choses is 1/2

    prob that a white ball is choses from bag1 = 4/10 = 2/5

    so prob of your 'event' = (1/2)(2/5) = 1/5

  • MATH 12 HELP! -

    but the answer in my book says 1/3... Maybe its wrong?

  • MATH 12 HELP! -


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