Question

If A and B are mutually exclusive events such that P(A) = 0.4, P(B) =x and P(A ∪ B) = 0.5, then x = ?

A. 0.2

B. 0.1

C. \(\frac{4}{5}\)

D. None of these

Answer 1

If A and B are mutually exclusive events then,

P(A) = 0.4, P(B) = X

And P(A ∪ B) = P(A)+P(B) = 0.5 = 0.4 + P(B)

⇒ P(B) = 0.1