68. A jury pool consists of 27 people, 14 men and 13 women. Compute the probability that a randomly selected jury of 12 people is all male.

Assume that 15% of people are left-handed. If 7 people are selected at random, find the probability of each outcome described below. a) Find the probability that the first lefty is the sixth person chosen. (Round to four decimal places as needed.) b) Find the probability that there are some lefties among the 7 people. (Round to four decimal places as needed.) c) Find the probability that the first lefty is the third or fourth person. (Round to four decimal places as needed.) d) Find the probability that there are exactly 3 lefties in the group. (Round to four decimal places as needed.) e) Find the probability that there are at least 5 lefties in the group. (Round to four decimal places as needed.) f) Find the probability that there are no more than 2 lefties in the group. (Round to four decimal places as needed.)

Given a bag of 10 marbles, 4 of them are white, 2 are black, and 4 are stripe. What is the probability of pulling a black marble, then a white marble, when sampling without replacement (i.e., you do not put the 1st marble back into the bag)?

a.  A coin is flipped 5 times, find the probability of getting exactly 4 heads.  b.  A coin is flipped 5 times.  Find the probability of getting at least 3 heads.