Q.
Two events A and B have probabilities 0.25 and 0.50,respectively. The probability that both A and B occur simultaneously is 0.14. Then the probability that neither A nor B occurs is
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a
0.39
b
0.25
c
0.11
d
None of these
answer is A.
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Detailed Solution
P(A∪B)=P(A)+P(B)−P(A∩B)=0.25+0.50−0.14=0.61∴ PA′∩B′=P(A∪B)′=1−P(A∪B)=1−0.61=0.39
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