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    jp51378's Avatar
    jp51378 Posts: 1, Reputation: 1
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    #1

    Apr 26, 2007, 10:35 AM
    Probability ?
    Hey guys I am trying to work a problem similar to this

    4 married couples are at a dance. The wives randomly select new partners from the 4 men they are with, what is the probability that no one dances with their spouse for the next dance?

    PLEASE HELP... I'm completely lost
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Apr 26, 2007, 12:35 PM
    Drawing a little diagram would help.

    There are 4 possible pairings if each person picks their correct spouse.

    W1 H1, W2 H2, W3 H3, W4 H4

    There are 4^2 possible pairings. Subtract the two to find the number of ways no one is paired with their spouse. Then find the probability.
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