Statistics And Probability Question 368

Question: If $ P,(A)=\frac{1}{4},P,(B)=\frac{5}{8} $ and $ P,(A\cup B)=\frac{3}{4}, $ then $ P,(A\cap B)= $

Options:

A) $ \frac{1}{8} $

B) 0

C) $ \frac{3}{4} $

D) 1

Show Answer

Answer:

Correct Answer: A

Solution:

  •               $ P(A\cap B)=\frac{2}{8}+\frac{5}{8}-\frac{6}{8}=\frac{1}{8}. $