Question

Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair.

Answer 1

There are two different colors of socks, so in the worst case scenario you can draw two different socks. Therefore you need to draw one more sock of any color to have a matching pair.

2+1=3 :)

Answer 2

Answer: Reason is mentioned below.

Given that the drawer contains only two different colors.

So if we draw 3 socks the possible cases are:

1) All three same color

2) Two of one color , one of the other color.

So in both cases we are definitely getting a matching pair.

If we pick less than 3 socks, that is if we pick 2 socks only.

Then we might get socks with two different colors. Then we don't get a matching pair.

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