Question

In a jury pool, 65% of the people are female. Of these 65%, one out of four works in a health field. Find the probability that a random selected person from the jury pool is female and works in a health field.

Answer 1

0.1625

Explanation:

We have been given that in a jury pool 65% of the people are female. Of these 65%, one out of four works in a health field. We are asked to find the probability that a random selected person from the jury pool is female and works in a health field.

The probability of selecting a female from jury pool would be
`65\%=0.65`.

The probability that a women works in a health field is
`(1)/(4)=0.25`.

Probability of selecting a person from the jury pool is female and works in a health field would be product of both probabilities.

`P(\text{Female from jury and works in health field}=0.65* 0.25`

`P(\text{Female from jury and works in health field}=0.1625`

Therefore, the probability that a random selected person from the jury pool is female and works in a health field would be 0.1625.