SOLUTION: A jury pool has 25 men and 15 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, find t

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Question 1184534: A jury pool has 25 men and 15 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, find the probability that the jury consists of (give answers for example rounded to two decimal places)
(a) 8 men and 4 women
(b) 6 men and 6 women
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Straightforward applications of the definition of probability and the definition of "n choose r"....

Number of ways of choosing 12 of the total 40 jurors: C%2840%2C12%29

Number of ways of choosing 8 of the 25 men and 4 of the 15 women: C%2825%2C8%29%2AC%2815%2C4%29

Number of ways of choosing 6 of the 25 men and 6 of the 15 women: C%2825%2C6%29%2AC%2815%2C6%29

Probability of choosing 8 men and 4 women: %28C%2825%2C8%29%2AC%2815%2C4%29%29%2FC%2840%2C12%29

Probability of choosing 6 men and 6 women: %28C%2825%2C6%29%2AC%2815%2C6%29%29%2FC%2840%2C12%29

You can do the calculations and round as directed.