Mark (√) against the correct answer in each of the following:
If A and B are events such that P(A) = , P(B) = and P(A’ ∪ B’) = , then A and B are

Question

Mark (√) against the correct answer in each of the following: If A and B are events such that P(A) = , P(B) = and P(A’ ∪ B’) = , then A and B are

Philoid · Accepted Answer

We are having two events A and B such that

P(A) = , P(B) = and P(A’ ∪ B’) = ,

P(A’∪ B’) = P’(A B) = 1 – P(A B) =

⇒ P(A B) =

⇒ As P(A B) P(A).P(B) … thus, they are not independent,

⇒ And as P(A ∪ B) P(A) + P(B) … thus, they are not mutually exclusive.

Hence, the answer is option d.

Mark (√) against the correct answer in each of the following:If A and B are events such that P(A) = , P(B) = and P(A’ ∪ B’) = , then A and B are