I have 6 pairs of socks lying unmatched in my dresser drawer. Each pair is a different color(brown, black, red, yellow, green, and purple). When I wake up in the morning, I randomly grab 2 of the loose socks and put them on without looking. If 2 socks are randomly selected from the drawer, what is the probability that they match?

Question

Thanks!

Answer 1

There are 36 different pairs of sox I could take,
of those 6 pairs will match,
The prob of picking a matching pair is 6.36 = 1/6

(This question is identical to this one:
Throw 2 dice, what is the prob of getting the same number on both? )