SOLUTION: Three men and three women line up at a checkout counter. find the probability that the first person is a women and then they alternate by gender?"

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Question 217346: Three men and three women line up at a checkout counter. find the probability that the first person is a women and then they alternate by gender?"
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
There are 3 men and 3 women.
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Probability first is a woman is 3/6
Probability second is a man is 3/5
Probability third is a woman is 2/4
Probability fourth is a man is 2/3
Probability fifth is a woman is 1/2
Probability sixth is a man is 1/1
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Multiply all these probabilities together and you get:
3/6 * 3/5 * 2/4 * 2/3 * 1/2 * 1/1 = .05
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