Question

Two events `Aa n dB` have probabilities 0.25 and 0050, respectively. The probability that both `Aa n dB` 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

Answer 1

Correct Answer - 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`