Answers below:
4.
P(A) = .28
P(A U B) = .56
P(A and B') = .13
P(A and B) = P(A) - P(A and B') = .28-.13 = .15
P(A U B) = P(A)+P(B)-P(A and B)
.56 = .28+P(B)-.15
P(B) = .56-.28+.15 = .43
P(B) = .43
Answer is D.
5. If A and B are mutually exclusive then P(A and B) = 0
So, if A and B aren't ME then they will have probability common
with them
So, No, because P(A and B) !=0 is the right option
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