Examine the relationship between independent, dependent, and mutually exclusive events. Consider two events A and B that are mutually exclusive such that P (A) ≠ 0.
a. Calculate P (A|B).
b. What does your answer to part a say about whether two mutually exclusive events are dependent or independent?
c. Consider two events C and D such that P (C) = 0.4 and P (C|D) = 0.15. (1) Are events C and D mutually exclusive? (2) Are events C and D independent or dependent? Are dependent events necessarily mutually exclusive events?