Probability of an event

Question

A jury of 12 members is to be selected from a panel consisting of 8 men and 8 women.

a. How many different jury selections are possible?

b. If the choice is made randomly, what is the probability that a majority of the jury members will be men?

Answer 1

for part a: with 16 people, there are 1820 ways of selecting 12 of them! It's just the number of combinations, given by:

n! / (r!(n-r)!)

where n is the size of the population and r is the size of the sample.

To answer part b, we need to find, out of those 1820 possible juries, how many have greater than or equal to 7 men?

Hope that helps!