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Math Help - Probability Check

  1. #1
    Junior Member
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    Dec 2007
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    Probability Check

    Hi

    Suppose that there are 14 songs on a cd and you like 8 of them. When using the random button selector on a cd player, each of the 14 songs is played once in a random order. Find the probability that among the first 3 songs that are played, you like exactly two of them.

    So what I've done so far is to calculate the number of ways to like 2 songs
    8 C 2

    I then multiply this by the dislike of the third song
    6 C 1

    and then I divide by the number of ways to play 3 songs out of 14 total
    14 C 3

    So I have (8 C 2) * (6*1) / (14 C 3)

    Is this correct?
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  2. #2
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    Looks correct.
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