SOLUTION: The probability that A occurs is 0.3, the probability that B does not occur is 0.6, and the probability that either A or B occurs is 0.5. Find: a) The probability that A does not

Question 404206: The probability that A occurs is 0.3, the probability that B does not occur is 0.6, and the probability that either A or B occurs is 0.5. Find:
a) The probability that A does not occur.
b) The probability that both A and B occur.
c) The probability that A occurs and B does not occur.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Given: P(A) = 0.3
P(B') = 0.6 ==> P(B) = 0.4
P(A U B) = 0.5
a) P(A') = 0.7
b) P(A AND B) = P(A) + P(B) - P(A U B) =0.3 + 0.4 - 0.5 = 0.2
c) P(A AND B') = P(A U B) - P(B) = 0.5 - 0.4 = 0.1
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