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Question
A and B are two events such that P (A) = 0.25 and P (B) = 0.50. The probability of both happening together is 0.14. The probability of both A and B not happening is
Options
0.39
0.25
0.11
none of these
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Solution
0.39
P (A) = 0.25 and P (B) = 0.50
P(A \[\cap\] B) = 0.14
∴ Required probability = 1 - P(A∪B)
= 1 - [P(A) + P(B) - P(A \[\cap\]B)]
= 1 - [0.25 + 0.50 - 0.14]
= 1 - 0.61 = 0.39
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