You have 60 red socks and 30 blue socks unpaired in a drawer. You can not see the socks, they are in a drawer and it is dark. What is the minimum number of socks that you have to pull out before you have a matching pair?

Question

Mathematics

Lauren

11 January, 23:58

You have 60 red socks and 30 blue socks unpaired in a drawer. You can not see the socks, they are in a drawer and it is dark. What is the minimum number of socks that you have to pull out before you have a matching pair?

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Maribel Winters · Answer 1

It doesn't matter how many of each color there are.

If there are two colors in the drawer, then if the first two are not a pair,

then the third sock you pull out must match one of them.

So ... pulling out two could give you a pair, and three always must.