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

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 :)

Answered by konrad509 | 2024-06-10

Answer: Reason is mentioned below.
Given that the drawer contains only two different colors .
So if we draw **3 socks **the possible cases are:

All three same color

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.
Learn more: https://brainly.com/question/10241002

Answered by Cetacea | 2024-06-15

To find a matching pair of socks from a drawer containing only two different colors, you must draw three socks. By doing so, you ensure that either all three will be of the same color or at least two will match. Drawing only two socks might result in one of each color, which means no matching pair is guaranteed.
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Answered by Cetacea | 2024-12-26