# 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?

### 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.
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