Refer to Exercise 4.40. Use the definition of conditional probability to find these probabilities:
a. P(A | B)
b. P(B | C)
Do the results agree with those obtained in Exercise 4.40?
Exercise 4.40
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