) Let A be the event that you have a headache on Monday and B be the event that you have a headache on Tuesday. Suppose the probability of having a headache on Monday is P(A ) = 0.15 and the probability of having a headache on Tuesday is P(B ) = 0.13. However, if you have

a. headache on Monday, then the probability of having one on Tuesday is P(B I A ) = 0.20.

Describe whether the events A and B are independent, mutually exclusive, both, or neither, and give a reason for you answer using the numbers given.