Probability Question 250

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}. $