As in Exercise 11.36, we have a bag of peanut M & M’s with 80 M & Ms in it, and there are 11 red ones, 12 orange ones, 20 blue ones, 11 green ones, 18 yellow ones, and 8 brown ones. They are mixed up so that each is equally likely to be selected if we pick one.

(a) If we select one at random, what is the probability that it is yellow?

(b) If we select one at random, what is the probability that it is not brown?

(c) If we select one at random, what is the probability that it is blue or green?

(d) If we select one at random, then put it back, mix them up well (so the selections are independent) and select another one, what is the probability that both the first and second ones are red?

(e) If we select one, keep it, and then select a second one, what is the probability that the first one is yellow and the second one is blue?  

Exercise 11.36

In a bag of peanut M & M’s, there are 80 M & Ms, with 11 red ones, 12 orange ones, 20 blue ones, 11 green ones, 18 yellow ones, and 8 brown ones. They are mixed up so that each candy piece is equally likely to be selected if we pick one.