SOLUTION: If A and B are events with P(A)=0.8, P(A OR B)=0.87, P(A AND B)=0.23, find P(B).

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Question 1172766: If A and B are events with P(A)=0.8, P(A OR B)=0.87, P(A AND B)=0.23, find P(B).
Answer by math_tutor2020(3816) About Me  (Show Source):
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P(A or B) = P(A) + P(B) - P(A and B)
0.87 = 0.8 + P(B) - 0.23
0.87 = P(B) + 0.57
P(B) + 0.57 = 0.87
P(B) + 0.57-0.57 = 0.87-0.57
P(B) = 0.3

Answer: 0.3