Concerning two events A and B, the following probabilities are specified:

Question

Concerning two events A and B, the following probabilities are specified:

P(A) = .4. P(B) = .3, and P(A [ B) = .6. What is the probability that

“A occurs and B does not occur”?

Answer 1

 

P(A or B) = P(A) + P(B) -  P(A and B)

 

P(A and B) = .7 - .6 = .1

P(A and not B) = P(A) - P(A and B)

P(A and not B) = .4 - .1

P(A and not B) = .3