Probability Question 380
Question: For two events A and B it is given that $ P(A)=P( \frac{A}{B} )=\frac{1}{4} $ and $ P( \frac{B}{A} )=\frac{1}{2}. $ Then,
Options:
A) A and B are mutually exclusive events
B) A and B are dependent events
C) $ P\overline{( \frac{A}{b} )}=\frac{3}{4} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
We have, $ P(A)=P( \frac{A}{B} )=\frac{1}{4}. $ this shows that A and B are independent events.
So, $ P(B)=P( \frac{B}{A} )=\frac{1}{2} $
Now, $ P( \frac{A}{B} )=\frac{1}{4}\Rightarrow P\overline{( \frac{A}{B} )}=1-\frac{1}{4}=\frac{3}{4}. $
BETA
