Question
Two events A and B have the probabilities 0.25 and 0.5 respectively. The probability that both A and B simultaneously is 0.12. then the probability that neither A and nor B occurs is ___.
Answer: Option D
:
D
Given: P(A)=0.25
P(B)=0.5
P(A and B simultaneously happening) = 0.12
P(A∪B)=P(A)+P(B)−P(A∩B)P(A∪B)=0.25+0.5−0.12=0.63
P(¯A∩¯B)=P¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(A∪B)=1−P(A∪B)=1−0.63=0.37
Was this answer helpful ?
:
D
Given: P(A)=0.25
P(B)=0.5
P(A and B simultaneously happening) = 0.12
P(A∪B)=P(A)+P(B)−P(A∩B)P(A∪B)=0.25+0.5−0.12=0.63
P(¯A∩¯B)=P¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(A∪B)=1−P(A∪B)=1−0.63=0.37
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution