Let A and B be events in a sample space S, and let C = S (A B). Suppose P(A) = 0.4, P(B)

Chapter 9, Problem 9

(choose chapter or problem)

Let A and B be events in a sample space S, and let C = S − (A ∪ B). Suppose P(A) = 0.4, P(B) = 0.5, and P(A ∩ B) = 0.2. Find each of the following:

a. P(A ∪ B)

b. \(P(^{C})\)

c. \(P(A^{c})\)

d. \(P(A^{c} ∩ B^{c})\)

e. \(P(A^{c} ∪ B^{c})\)

f. \(P(B^{c} ∩ C)\)

Text Transcription:

P(A^c)

P(A^c ∩ B^c)

P(A^c ∪ B^c)

P(B^c ∩ C)