Probability Question 238

Question: If $ P(A)=0.4,P(B)=x,P(A\cup B)=0.7 $ and the events A and B are independent, then x =

[CEE 1993]

Options:

A) $ \frac{1}{3} $

B) $ \frac{1}{2} $

C) $ \frac{2}{3} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

$ 0.7=0.4+x-0.4x\Rightarrow x=\frac{1}{2}. $