(Based on DCB 3.24) Socks in a drawer.

Suppose that in your sock drawer you have 4 navy, 5 gray, and 3 black socks. Half asleep one morning you grab 2 socks at random and put them on. When you've had some time to wake up fully, you observe the color of the socks on your left and right feet.

a)Assign probabilities to the elements of the sample space. (Be sure that the probabilities adhere tothe 3 axioms of probability)

b)Find the probability you end up wearing at least 1 black sock

c)Find the probability you end up wearing a navy or a grey sock

d)Find the probability you end up wearing matching socks