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Math Help - Probability pairings

  1. #1
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    Probability pairings

    Hi All,

    I am conpleting a question for college and was wodering if someone could hepl.
    I have all questions done except this one.

    A team consists of 6 Irish and 6 Scottish players. The teams are to be paired in groups for the purpose of determining room mates on a particular trip. If the parings are done at randon:
    Find the probability that none of the Irish players has a Scottish room mate?

    Any ideas?
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  2. #2
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    Quote Originally Posted by snewo View Post
    A team consists of 6 Irish and 6 Scottish players. The teams are to be paired in groups for the purpose of determining room mates on a particular trip. If the parings are done at randon:
    Find the probability that none of the Irish players has a Scottish room mate
    There are a total of \frac{12!}{6!(2^6)} way to pair twelve players.

    There are a total of \frac{6!}{3!(2^3)} way to pair the six Scottish players with one another.
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  3. #3
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    From where are you finding probability?
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  4. #4
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    Quote Originally Posted by snewo View Post
    From where are you finding probability?
    I am not. That is your job.
    I am simply helping you with the counting part.
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