SOLUTION: A jury pool consists of 29 people, 17 men and 12 women. Compute the probability that a randomly selected jury of 12 people is all male. (Give your answer as a fraction.)

Question 1071176: A jury pool consists of 29 people, 17 men and 12 women. Compute the probability that a randomly selected jury of 12 people is all male. (Give your answer as a fraction.)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You have 29 people, so the number of possible sets of 12 of them
(the number of possible randomly selected juries) is
,
combinations of 29 taking 12 at a time.
You can get that from a calculator or some software in your computer,
but it is also relatively easy to use pencil and paper
to get the factored form.
The number of possible sets of 12 males
that can be made from the 17 males in the jury pool is

As a fraction of the total number of possible randomly selected juries,
that number represents
.
That is about 0.01%, so it is unlikely to happen by chance.
RELATED QUESTIONS
A jury pool consists of 30 people, 17 men and 13 women. Compute the probability that a... (answered by ikleyn)

A jury pool consists of 31 people, 17 men and 14 women. Compute the probability that a... (answered by ikleyn)

A jury pool consists of 35 people, 18 men and 17 women. Compute the probability that a... (answered by Edwin McCravy)

A jury pool consists of 27 people, 18 men and 9 women. Compute the probability that a... (answered by ikleyn)

A jury pool consists of 33 people, 15 men and 18 women. Compute the probability that a... (answered by ikleyn)

A jury pool consists of 34 people, 17 men and 17 women. Compute the probability that a... (answered by math_tutor2020,ikleyn)

PLEASE HELP!! I REALLY NEED HELP! A jury pool consists of 30 people, 16 men and 14... (answered by Theo)

A jury pool consists of 35 people, 13 men and 22 women. Compute the probability that a... (answered by Fombitz)

A jury pool consists of 15 women and 14 men. What is the probability that the jury... (answered by Boreal)