Question

# A jury pool has 15 people that are married and 22 people that are not married,...

A jury pool has 15 people that are married and 22 people that are not married, 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 the following. (Give answer as a fraction or a decimal out to at least 4 places. If your answer is very small use scientific notation out to 4 decimal places for example 3.3421E-6.)

(a) all married people.

(b) all not married people.

(c) 8 married and 4 that are not married.

(d) 6 married and 6 that are not married.

The total number of people in jury pool are = 15+22 = 37

The number of jurors will be selected is = 12

Therefore the toatla number of ways to select 12 jurors from 37 are = 37C12 = 1852482996

a) The probability that jury consists of all married people

b)  The probability that jury consists of all not married people

c) The probability that jury consists of 8 married and 4 that are not married people.

d) The probability that jury consists of 6 married and 6 that are not married people

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