Probability Question 209
Question: A man has 3 pairs of black socks and 2 pairs of brown socks kept together in a box. If he dressed hurriedly in the dark, the probability that after he has put on a black sock, he will then put on another black sock is
Options:
A) 1/3
B) 2/3
C) 3/5
D) 2/15
Show Answer
Answer:
Correct Answer: A
Solution:
$ P(B_1)=\frac{^{6}C_1}{^{6}C_1}=\frac{6}{10}=\frac{3}{5} $
$ P(B_2/B_1)=\frac{5}{9}(B_2=black) $
$ \therefore P(B_1\cap B_2)=P(B_1)P(B_2/B_1)=\frac{3}{5}\times \frac{5}{9}=\frac{1}{3} $
BETA
