Statistics And Probability Question 56
Question: If A and B are two events such that $ P,(A)=\frac{1}{3} $ , $ P,(B)=\frac{1}{4} $ and $ P,(A\cap B)=\frac{1}{5}, $ then $ P,( \frac{{\bar{B}}}{{\bar{A}}} )= $
Options:
A) $ \frac{37}{40} $
B) $ \frac{37}{45} $
C) $ \frac{23}{40} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
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$ P( \frac{{\bar{B}}}{{\bar{A}}} )=\frac{1-P(A\cup B)}{P(\bar{A})}=\frac{1-\frac{23}{60}}{1-\frac{1}{3}}=\frac{37}{60}\times \frac{3}{2}=\frac{37}{40}. $
BETA
