An experiment can result in one of five equally likely simple events, E1, E2, . . . , E5. Events A, B, and C are defined as follows:
A: E1, E3 P(A) = .4
B: E1, E2, E4, E5 P(B) = .8
C: E3, E4 P(C) = .4
Find the probabilities associated with the following events by listing the simple events in each.
a. Ac
b. A ∩ B
c. B ∩ C
d. A ∪ B
e. B | C
f. A | B
g. A ∪ B ∪ C
h. (A ∩ B)c)