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Question: The two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A an...

The 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

A

0.39

B

0.25

C

0.904

D

None of these

Answer

0.39

Explanation

Solution

P(AcBc)=1P(AB)P \left( A ^ { c } \cap B ^ { c } \right) = 1 - P ( A \cup B )