A college library has five copies of a certain text on reserve. Two copies (1 and 2) are first printings, and the other three (3, 4, and 5) are second printings. A student examines these books in random order, stopping only when a second printing has been selected. One possible outcome is 5, and another is 213. a. ? ist the outcomes in . b. ?Let ?A ?denote the event that exactly one book must be examined. What outcomes are in A ? ?? c. ?Let ?B ?be the event that book 5 is the one selected. What outcomes are in ?B?? d. ?Let ?C ?be the event that book 1 is not examined. What outcomes are in ?C??

Problem 6E Answer: Step1: We have A college library has five copies of a certain text on reserve. Two copies (1 and 2) are first printings, and the other three (3, 4, and 5) are second printings. A student examines these books in random order, stopping only when a second printing has been selected. One possible outcome is 5, and another is 213. Our goal is to find, a. List the outcomes in S . b. Let A denote the event that exactly one book must be examined. What outcomes are in A c. Let B be the event that book 5 is the one selected. What outcomes are in B d. Let C be the event that book 1 is not examined. What outcomes are in C Step2: a). List of the 15 outcomes in the sample space is given by Outcome Number Outcome 1 123 2 124 3 125 4 213 5 214 6 215 7 13 8 14 9 15 10 23 11 24 12 25 13 3 14 4 15 5 total possible outcomes = 15. b). If A denote the event that exactly one book must be examined, the outcomes are in A is given by Out come numbers = {13, 14, 15} A = {3, 4, 5} total outcomes in A = 3. Step3: c). If B be the event that book 5 is the one selected, the outcomes are in B is given by Out come numbers = {3, 6, 9, 12, 15} B = {5, 15, 25, 125, 215} total outcomes in B = 5. d). If C be the event that book 1 is not examined, the outcomes are in C is given by Out come numbers = {10, 11, 12, 13, 14, 15} C = {3, 4, 5, 23, 24, 25}