A jury pool has 25 men and 19 women, from which 12 jurors will be selected. Assuming that each person is equally likely to be chosen and that the jury is selected at random, use combinations to find the probability that the jury consists of

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Answer:

The number of possible juries is C(30,12) = 30! / (30–12)! * 12! = 86,493,225. The number of possible all-female juries is C(16,12) = 16! / (16–12!) * 12! = 1820. So the probability of an all-female jury is 1820 / 86,493,225 = 0.0021%.

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