Statistics And Probability Question 541
Question: Let A and B are events of an experiment and $ P(A)=1/4,P(A\cup B)=1/2 $ then value of $ P(B/A^{c}) $ is
Options:
A) 2/3
B) 1/3
C) 5/6
D) 1/2
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ P(A)=\frac{1}{4},P(A\cup B)=\frac{1}{2} $ $ \frac{P(A\cup B)-P(A)}{1-P(A)}=\frac{P(A\cup B)-P(A)}{1-P(A)} $ $ [\therefore P(A\cup B)+P(B)-P(A\cap B)] $ $ =\frac{\frac{1}{2}-\frac{1}{4}}{1-\frac{1}{4}}=\frac{1}{4}\times \frac{4}{3}=\frac{1}{3} $
BETA
