Probability Question 269
Question: The two 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
[IIT 1980; MP PET 1994]
Options:
A) 0.39
B) 0.25
C) 0.904
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ P(A^{c}\cap B^{c})=1-P(A\cup B) $
$ =1-[0.25+0.5-0.14]=0.39. $