Statistics And Probability Question 501

Question: Let A and B be two events such that $ P,(A)=0.3 $ and $ P,(A\cup B)=0.8 $ . If A and B are independent events, then $ P(B)= $

[IIT 1990; UPSEAT 2001, 02]

Options:

A) $ \frac{5}{6} $

B) $ \frac{5}{7} $

C) $ \frac{3}{5} $

D) $ \frac{2}{5} $

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Answer:

Correct Answer: B

Solution:

  •               $ 0.8=0.3+x-0.3x\Rightarrow x=5/7. $