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Question: 6 women and 7 men were randomly divided into two...

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6 women and 7 men were randomly divided into two groups, with 9 individuals in one group and 4 individuals in the other group.

a) Calculate the probability that there will be at least two women in each of the groups.

b)Calculate the probability that there are at least five men in the 9-person group, if we know that there is at least one women in the 4-person group.

c) Calculate the expected value of the number of women in the 9-person group.

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