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Two events A and B have probabilities 0....

Two events `A` and `B` have probabilities 0.25 and 0.5, 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) 0.11 (D) none of these

A

0.39

B

0.25

C

0.11

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `P(A)=0.25,P(B)=0.50`,P(A nn B)=0.14`
`:. P(AuuB)=P(A)+P(B)-P(AnnB)`
`=0.25+0.50-0.14=0.61`
Now, `P(bar(AuuB))=1-P(AuuB)=1-0.61=0.39`
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