Evaluate P(A ∪ B), if 2P(A) = P(B) = 5/13 and P(A|B) = 2/5.
Given: 
and 
……….(i)
We know that
By definition of conditional probability,
⇒ P(A ∩ B) = P(A|B) P(B)
……….(ii)
Now, ∵ P(A * B) = P(A) + P(B) – P(A ∩ B)
6
Evaluate P(A ∪ B), if 2P(A) = P(B) = 5/13 and P(A|B) = 2/5.
Given: and
……….(i)
We know that
By definition of conditional probability,
⇒ P(A ∩ B) = P(A|B) P(B)
……….(ii)
Now, ∵ P(A * B) = P(A) + P(B) – P(A ∩ B)