Question

In your sock drawer you have 4 blue, 5 gray, and 3 black socks. half asleep one morning you grab 2 socks at random and put them on. find the probability you end up wearing at least one black sock

Answer 1

you will have 1/4 or 25% probability to pick a black sock because

4 blue socks + 5 gray socks + 3 black socks = 12 socks. but you need to pick one of the 3 black socks so 3 out of 12 or 3/12. simplify to 1/4