(Solution) - Refer to Exercise 4 40 Use the Addition and Multiplication Rules -(2025 Original AI-Free Solution)

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Refer to Exercise 4.40. Use the Addition and Multiplication Rules to find these probabilities:
a. P(A ? B)
b. P(A ? B)
c. 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