You own 20 pairs of socks, with each pair being a different color. A robber breaks into your house and randomly grabs 10 socks from your sock drawer, regardless of whether they are matching or not. (a) Suppose one of the 20 pairs is blue. What is the probability that you still own a complete pair of blue socks after the robbery? (b) Use your answer from (a) to find the expected number of complete pairs of socks you still own after the robbery.