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math

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you take a three-question multiple-choice test.each question has four choices.you don't know any of the answers. what is the experimental probability that you will guess exactly two out of three correctly

please help me i am confused

  • math -

    right = r
    wrong = w

    so you want
    rrw
    rwr
    wrr
    each of the above has a prob of 1/4 x 1/4 x 3/4 = 3/16

    so the prob of getting 2 out of 3 correct is 3(3/16) = 9/16

  • correction - maths -

    that should have said:

    each of the above has a prob of 1/4 x 1/4 x 3/4 = 3/64

    so the prob of getting 2 out of 3 correct is 3(3/64) = 9/64

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