6.6.11 A card is drawn from a 52 card deck. We continue to draw until we have drawn a king or until we have drawn 5 cards, whichever comes first. Draw a tree diagram that illustrates the experiment. Find the probability that the experiment ends before the fourth draw. ----- 6.6.12 Twenty percent of the library books in the fiction section are worn and need replacement. Ten percent of the nonfiction holdings are worn. The library's holdings are 40% and 60% nonfiction. Draw a tree diagram to illustrate how to calculate the probability that a book chosen at random from this library is worn and needs replacement.