Probability ?

Question

Apr 26, 2007, 10:35 AM

jp51378

New Member

Join Date: Apr 2007

Posts: 1

Probability ?

Hey guys I am trying to work a porblem 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 thier spouse for the next dance?

PLEASE HELP.... I'm completly lost

Answers

Apr 26, 2007, 12:35 PM	#2

galactus Mathematics Expert Join Date: Sep 2006 Location: Chaneysville, Pa. Posts: 1,660	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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