Please answer the following question:

Exercise 2 (About the universe). Let us consider a library composed of five books: two are new (we denote them by 1 and 2) and the three others are old (3, 4, 5). We conduct the following expeiment: we examine the books in random order, stopping only when an old book has been selected. Let ? be the set of all possible outcomes, also called the universe. To give an example: if 5 is selected at first, we immediately stops, so we denote this outcome by 5. If we have to go over 2 and then 1 and then finally arrive at 3, we denote this outcome by 213. 1. (1 pt) List all the outcomes in Q. 2. (1 pt) Let A denote the event that exactly one book is examined. List the outcomes in A. 3. (1 pt) Let B denote the event that book 5 is the one selected (which stops the experi- ment). List the outcomes in B. 4. (1 pt) Let C denote the event that book 1 is never examined. List the outcomes in C