Question

Mr Brown has 12 black gloves and 12 brown gloves in his closet He blindly picks up some gloves from the closet. What is the minimum number of gloves Mr. Brown will have to pick to be certain to find a pair of gloves of the same color ?

• A. $13$
• B. $3$
• C. $12$
• D. $2$

Answer 1

The correct option is B $3$

To find a pair Mr. Brown must pick at least 2 gloves But if he picks 2 gloves blindly then hey may be of different colors If he picks 3 gloves blindly then there are only 2 possibilities all 3 gloves are of the same color or 2 gloves are of the same color and 1 is of a different color Both these possibilities guarantee Mr. Brown a pair of gloves of the same color Thus Mr. Brown should minimally pick 3 gloves to be certain to find a pair of gloves of the same color