A book shelf holds twenty books. Eleven are hard-covered, nine of the books are nonfiction, and four of the nonfiction books are hard-covered, as shown in the Venn diagram. Let event H be a hard-covered book and let event N be a nonfiction book. Circles H and N intersect. Circle H contains 7, circle N contains 5, and the intersection contains 4. Number 4 is outside of the circles. A book is chosen randomly. Complete the steps to find the probability that the book is nonfiction given that it is hard-covered. Find the probability that a chosen book is nonfiction and hard-covered. P(N ∩ H) = Find the probability that a chosen book is hard-covered. P(H) = Calculate the conditional probability. StartFraction P (N intersection H) Over P (H) EndFraction =