math

There are 5 blue chips, 4 red chips and 3 yellow chips in a bag. One chip is drawn from the bag. That chip is placed back into the bag, and a second chip is drawn. What is the probability that the two selected chips are of different colors? Express your answer as a common fraction.

  1. 👍 3
  2. 👎 0
  3. 👁 1,111
  1. 3 cases:
    BB ---> (5/12)(5/12) = 25/144
    RR ---> (4/12)(4/12) = 16/144
    YY ---> (3/12)(3/12) = 9/144

    add them up

    1. 👍 0
    2. 👎 2
    👨‍🏫
    Reiny
  2. are you sure about the 144?

    1. 👍 0
    2. 👎 0
  3. Misread the question, read it as 'of the same colour.'
    So we need
    1 - (25/144 + 16/144 + 9/144)

    1. 👍 2
    2. 👎 0
    👨‍🏫
    Reiny

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