Statistics And Probability Question 246

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}. $