Given that the events A and B are such that P(A) = 1/2, P(A∪B) = 3/5 and P(B) = p then find 'p' if they are mutually exclusive.
Answer & explanation
Correct answer: option 1
It is given that P(A) = 1/2, P(A∪B) = 3/5 and P(B) = p
When A and B are mutually exclusive, A∩B = ø
so, P(A∩B) = 0
It is known that, P(A∪B) = P(A) +P(B) - P(A∩B)
⇒ 3/5 = 1/2 +p - 0
⇒ p = 1/10
⇒
⇒