Question

A jury of 16 people is selected from 34 people: 17 women and 17 men. What is the probability (to the nearest ten-thousandth) that the jury will have 8 men and 8 women?

Answer 1

Data:

• Selected: 16, ,people

,

• Total: 34 people

,

• Women: 17

,

• Men: 17

,

• Probability of 8 men and 8 women.

Procedure:

1. Calculating for one gender:

`17C8=24310`

As it is two genders, then:

`24310\cdot24310=5.91\cdot10^8`

2. Calculating the number of random juries:

`34C16=2.20\cdot10^9`

Calculating the probability:

`(17C8\cdot17C8)/(34C16)\approx0.2681`

Answer: 0.2681