Probability Question 311

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

Options:

A) 1/5

B) 3/8

C) 1/3

D) 2/3

Show Answer

Answer:

Correct Answer: B

Solution:

We have, $ 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} $