4. Company B has a very large number of books on its website, and 42% of the books are available as e-Books. Diane will select two books at random from Company B's website. a. Consider the event that the first book Diane selects is available as an e-Book and the event that the second book Diane selects is available as an e-Book. Explain in words how you know that these two events are independent. b. Find each probability. Write your answer as a percent to the nearest tenth of a percent. i. Both books are available as e-Books. ii. Neither book is available as an e-Book. iii. Exactly one of the two books is available as an e-Book. 5. Diane belongs to a book club. The club has just read their 10th novel and are planning a party to celebrate. Diane decides to make a copy of the front cover of one of the detective novels to use as a dartboard. The trim size of the cover is 5 by 81. On the cover is a moon with a 21 in. 2 2 2 58 diameter. Estimate the probability that a club member will hit the moon on the dartboard. 6. Twenty of the hardcover books in Diane's collection are either detective novels or romance novels. Twelve are detective novels. How many permutations are possible for these two categories of hardcover books? Explain. 7. From her collection, Diane will choose, without looking, three hardcover detective novels to read during a school break. How many combinations of the three books are possible? Explain.