A man has 6 black socks and 8 white socks in drawer unpaired

A man has 6 black socks and 8 white socks in drawer, unpaired in the dark, he takes out 2 socks, one after the other. What is the probability that the man took out two socks of different colors? 18/48 25/48 24/91 3/4 48/91

Solution

Two cases.

First sock was black and then a white sock

Probablity of thsi is

(6/14)*(8/13)

Case two :First sock was white and then a black sock

Probality of this is

(8/14)*(6/13)

HEnce probality is

(2*8*6)/(14*13)=48/91