In Problem 1, you calculated probabilities of getting various M&M's. Some of your

answers depended on the assumption that the outcomes described were disjoint; that

is, they could not both happen at the same time. Other answers depended on the

assumption that the events were independent; that is, the occurrence of one of them

doesn't affect the probability of the other. Do you understand the difference between

disjoint and independent?

(a) If you draw one M&M, are the events of getting a red one and getting an orange

one disjoint, independent, or neither?

(b) If you draw two M&M's one after the other, are the events of getting a red on the

first and a red on the second disjoint, independent, or neither?

(c) Can disjoint events ever be independent? Explain.