My Answer To Sock Probability Problems

Growing up in elementary school the word problems in math class always made me mad. How dare they attempt to disguise math with a fun little story. This morning, one particular type of word problem stuck out in my head and it was the type that goes as follows:
Ten pairs of socks are in a drawer, three black, seven white. If i pull out three pairs, what is the probability of one of them being white?

At the age of eight i realized how ridiculous a scenario as people only had one pair of socks that weren’t white and they were kept with your Sunday clothes, so the odds of selecting a matching pair was always 1:1.

Then I grew up…and this happened: