6. I have 32 textbooks from my time in college. 19 of the textbooks are Math books, 9 are Physics, 3 are Chemistry, and 1 is a History book (bleck). Of the Math books, 17 are hardcover and 2 are softcover. Of the Physics books, 5 are hardcover and 4 are softcover. All of the Chemistry books are hardcover, and the History book no longer has a cover, so we will classify it as a softcover. I pick 3 at random. (5 points each) (a) What is the probability that all three books are Math books? Answer: 19.5% (b) What is the probability that all three of the books are History books? Answer: 0 (c) What is the probability that at least 2 of the books are Math, but all three are either Math or Physics? Answer: 50.6% (d) Of the 3 chosen, two are softcover. What is the probability that I chose the History book? Answer: 28.6%