A drawer contains 6 blue and 4 white socks Two of the socks

A drawer contains 6 blue and 4 white socks. Two of the socks are chosen at random without replacement. What is the probability that the 2 socks are the same color?

Solution

THERE ARE TOTAL 10 SOCKS

2 ARE CHOOSEN AT RANDON

PROBABILITY OF THE SOCKS BEING OF RED COLOR = 2/6= 1/3

PROBABILITY OF THE SOCKS BEING OF WHITE = 2/4 = 1/2

SO PROBABILITY OF BEING OF SAME COLOR = 1/3+1/2=0.83