Given that the events A and B are such that P(A) = 1/2, P(A∪B) = 3/5 and P(B) = p. Find the value of 'p' if they are independent.
Answer & explanation
Correct answer: option 2
It is given that P(A) = 1/2, P(A∪B) = 3/5 and P(B) = p
When A and B are independent P(A∩B) = P(A). P(B) = (1/2). p
It is known that, P(A∪B) = P(A) +P(B) - P(A∩B)
⇒ 3/5 = 1/2 +p - (1/2)p
⇒ p = 1/5