Question

A jury pool has 17 men and 18 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 8 men and 4 women.

Answer 1

Answer:

0.86

Step-by-step explanation:

To find this, we need to know the number of ways the jury can be picked overall, and then the number of ways 8 men and 4 women can be on the jury. The fraction of the two will be the probability.

The total number of ways the jury can be picked is the combination of a pool of 35 people and choosing 12 is; C(30,12) = 30!/((12!)(30 - 12)!)

= 86,493,225

We have gotten the number of ways the jury can be picked.

Now let's find how many ways can the jury consist of 8 men and 4 women.

For the men, there are 17 in the pool and we're picking 8:

Thus, C(17,8) = 17!/((8!)(17 - 8)!) = 24,310

For the men, there are 18 in the pool and we're picking 4:

Thus, C(18,4) = 18!/((4!)(18 - 4)!) = 3,060

Thus, number of men and women choices = 24,310 x 3060 = 74388600

So; probability = 74388600/86,493, 225 = 0.86

Answer 2

Answer:

D on Edge

Step-by-step explanation: