4.The probabilities of two events A and B are 0.25 and 0.40 respectively.The probability that both the events occur is 0.15.Find the probability that neither A nor B occurs. (Ans.0.5)
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Solution
Using formula
P(E or F) = P(E) + P(F) - P(E intersection F)
= (0.25 + 0.40 - 0.15)
= 0.50
Therefore probability that neither A nor B occurs = 1-(.50)= .50