Pair of Socks Puzzle

Puzzle on Pair of Socks 

Premise – In a drawer, you have an equal number of pairs of socks that are identical and are of red and blue. 

Rule – You can only pull out one sock at a time. But you cannot look at the sock before pulling it out. 

Objective – What is the maximum number of tries it will take before you have a perfect pair of socks?

pair of socks

Solution

The maximum number of tries it will take before obtaining a perfect pair is 3.

1st Try:-

  • On the first try, we will pick either a red or a blue sock.
  • Say we pick a red sock.

2nd Try:-

  • Now on the second try, we will again pick either a red or blue.
  • if we pick a red, then this red and the earlier form a pair and we got the perfect pair.
  • else we pick a blue and go for the third try.

3rd Try:-

  • Now on the third try, we will pick red or blue.
  • But now since we have a color for each pair already
  • if we pick red, we have a pair of red socks.
  • if we pick blue we have a pair of blue socks.
In a drawer you have an equal number of pair of socks
Pair Of Socks Puzzle
Pair Of Socks Puzzle