SOLUTION: 1.two men and three women are each waiting for a job interview there is only enough time to interview two people before lunch two people are chosen at random what is the probabilit

Question 253558: 1.two men and three women are each waiting for a job interview there is only enough time to interview two people before lunch two people are chosen at random what is the probability that both people are women? what is the probability that at least one person is a women? which is more likely, one of people is a woman and the other is a man or both people are either men or women?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1.two men and three women are each waiting for a job interview there is only enough time to interview two people before lunch two people are chosen at random
what is the probability that both people are women?
P(2 women) = 3C2/5C2 = 3/10
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what is the probability that at least one person is a women?
P(x>=1) = 1 - P(x=0)
P(at least one woman) = 1 - P(no women)
P(at least one woman) = 1 - 2C2/5C2 = 1 - 1/10 = 9/10
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which is more likely, one of people is a woman and the other is a man or both people are either men or women?
P(2 men) = 1/10
P(2 women) = 3/10
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P(one man and one woman) = 1 - [P(no man) + P(no woman)= 1 - [3/10 + 1/10]
= 1 - [4/10] = 6/10
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Ans: "one of the people is a woman and other is a man" has the higher prob.
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Cheers,
Stan H.

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