Probability Practice Test 2

Question : 7 of 37

Marks: +1, -0

Two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A andB occur simultaneously is 0.12. Then the probability that neither A nor B occurs is

0.13
0.38
0.63
0.37

Validate

Solution:

P(A ∪ B) = P(A) + P(B) – P(A ∪ B)
P(A ∪ B) = 0.25 + 0.50 – 0.12 = 0.63

P ( \ov { A ∪ B })

= 1 – P(A ∪ B) = 1 – 0.63 = 0.37.

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