JEE Advance - Mathematics (1982 - No. 5)
$$A$$ and $$B$$ are two candidates seeking admission in $$IIT.$$ The probability that $$A$$ is selected is $$0.5$$ and the probability that both $$A$$ and $$B$$ are selected is atmost $$0.3$$. Is it possible that the probability of $$B$$ getting selected is $$0.9$$ ?
Yes, it is possible if A and B are highly correlated.
Yes, it is always possible regardless of correlation.
No, because P(A ∩ B) ≤ P(A) and P(A ∩ B) ≤ P(B), therefore P(B) cannot be 0.9.
No, it is impossible because P(A ∪ B) > 1.
Yes, but only if A and B are mutually exclusive.
Comments (0)
