Additional problem: 1. Sylvia has five pairs of shoes: a black pair, a white pair, a green pair, a blue pair, and a red pair. All ten shoes are mixed together in a box. She reaches into the box and pulls out two shoes randomly. (In this problem, remember that a left shoe is different from a right shoe! So all ten shoes are different from each other.) (a) How many possibilities are there for which shoes Sylvia is now holding? (b) In how many ways could she have two left shoes? In how many ways could she have two right shoes? (c) In how many ways could she have one left shoe and one right shoe? (d) Are your answers to parts (a), (b), (c) consistent with each other? Write down a simple equation Involving these numbers and check whether it is true. (c) What is the probability that the two shoes she pulled out are a matching pair