AP EAMCET2001MathematicsProbability
The 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
Options
- A0.39
- B0.29
- C0.11
- D0.25
Correct answer
A. 0.39
Step-by-step solution
Given that, aligned P(A) & =0.25, P(B)=0.50 P(A B) & =0.14 P(A B) & =P(A)+P(B)-P(A B) & =0.25+0.50-0.14 & =0.75-0.14=0.61 P( A B ) & =P( A B ) & =1-P(A B)=1-0.61=0.39 aligned