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} $