Pair of Socks puzzle – Number of socks to pick for matching pair

(Last Updated On: June 7, 2017)

Pair of Socks puzzle:You have 100 black socks and 100 white socks mixed up in a drawer. You must pick socks blindly from the drawer. How many socks you need to take out to be sure of having a matching pair?

Note that question does not ask for specific color socks but just a matching pair. It can be of white or black color either.

Answer: 3 socks

3 socks we need to pull out to make sure we are getting a matching pair of socks either black or white.

See the combination below if we take out 3 socks from drawer blindly.

WBB

WWB

WWW

BWW

BBW

BBB

note that every attempt contains a pair of socks either Black or White. So, if we pick 3 socks from drawer then we must get a pair of either color black or white..