Probability Question 182
Question: In a certain town, 40% of the people have brown hair, 25% have brown eyes and 15% have both brown hair and brown eyes. If a person selected at random from the town, has brown hair, the probability that he also has brown eyes, is
[MNR 1988]
Options:
A) $ \frac{1}{5} $
B) $ \frac{3}{8} $
C) $ \frac{1}{3} $
D) $ \frac{2}{3} $
Show Answer
Answer:
Correct Answer: B
Solution:
$ P(A)=\frac{40}{100}, $
$ P(B)=\frac{25}{100} $ and $ P(A\cap B)=\frac{15}{100} $
So $ P( \frac{B}{A} )=\frac{P(A\cap B)}{P(A)}=\frac{15/100}{40/100}=\frac{3}{8}. $
BETA
