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.

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 [tex]65\%=0.65[/tex].

The probability that a women works in a health field is [tex]\frac{1}{4}=0.25[/tex].

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

[tex]P(\text{Female from jury and works in health field}=0.65\times 0.25[/tex]

[tex]P(\text{Female from jury and works in health field}=0.1625[/tex]

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