SOLUTION: if P(not A)=0.3, P(B)=0.5 AND P(A or b)=0.9 find P(A and B)

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Question 1048647: if P(not A)=0.3, P(B)=0.5 AND P(A or b)=0.9 find P(A and B)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
P(A') =0.3 ===> P(A) = 1-P(A') = 1-0.03 = 0.7.

===> P(A∩B) = P(A) + P(B) - P(A∪B) = 0.7 + 0.5 - 0.9 = 1.2 - 0.9 = 0.3.