Question

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.

Answer #1

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 = ^{37}C_{12} = 1852482996

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