Question

A certain ski shop sells pairs of gloves in 12 different colors. If one pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random, what is the probability that she draws two gloves of the same color?

Answer 1

0.04348

Explanation:

Given that a certain ski shop sells pairs of gloves in 12 different colors. One pair of each color is dropped in a bag and a store clerk reaches in to draw two individual gloves simultaneously and at random

In the bag now there are 12 pairs of different colours

Total number of ways of drawing 2 gloves from 24 gloves = 24C2 =276

If same colour is to be drawn pairwise taken.

i.e. there are 12 ways.

Probability required =
`(12)/(276) =0.04348`