. According to the Mars Candy Company, the long-run percentages of various colors of M&M’s
milk chocolate candies are as follows:
Blue: 24% Orange: 20% Green: 16% Yellow: 14% Red: 13% Brown: 13%
(a) In a random sample of 12 candies, what is the probability that there are exactly two of each
color?
(b) In a random sample of 6 candies, what is the probability that at least one color is not included?
(c) In a random sample of 10 candies, what is the probability that there are exactly 3 blue candies
and exactly 2 orange candies?
(d) In a random sample of 10 candies, what is the probability that there are at most 3 orange
candies? [Hint: Think of an orange candy as a success and any other color as a failure.]
(e) In a random sample of 10 candies, what is the probability that at least 7 are either blue,
orange, or green?