698 CHAPTER 11 Probability Determine the probability of selecting c) a black pen and a green pen (in either order). 1 6 d) no red pens. 1 2 e) at least one pen that is not black. 1 15. Baby Name Choices The Sannons are choosing a name for their child. They have narrowed down their options, and they will choose one first name and one middle name from the list as shown in the table below. First Name Middle Name Sasha Aisha Jade Wynona Cali Opal a) Determine the number of sample points in the sample space. 9 b) Construct a tree diagram and list the sample space. * Determine the probability that they select c) Jade. 1 3 d) Jade Opal. 1 9 e) a name other than Jade. 2 3 16. Coffee Choices At the coffee station at work, you have several options when making a cup of coffee. You can choose to add no cream (N), regular cream (R), or hazelnut-flavored cream (H). You can also choose to add no sweetener (O), sugar (S), or aspartame (A). a) Determine the number of points in the sample space. 9 b) Construct a tree diagram and list the sample space. * If you were to randomly prepare one cup of coffee, determine the probability that c) you prepared a cup of coffee with regular cream and sugar? 1 9 d) you prepared a cup of coffee with no cream and no sweetener? 1 9 e) you prepared a cup of coffee with sugar? 1 3 17. Rolling Dice A single fair die is rolled twice. a) Determine the number of sample points in the sample space. 36 b) Construct a tree diagram and list the sample space. * Determine the probability that c) a double (a 1, 1 or 2, 2, etc.) is rolled. 1 6 d) a sum of 8 is rolled. 5 36 e) a sum of 2 is rolled. 1 36 f) Are you as likely to roll a sum of 2 as you are of rolling a sum of 8? No 18. Bonsai Trees Selby Gardens sells bonsai trees. Customers can choose a juniper, maple, fir, or boxwood bonsai tree. Customers can also choose a circular, oval, or square base in which to plant the tree. The Chens are going to randomly select one of the bonsai trees and one of the bases. a) Determine the number of sample points in the sample space. 12 b) Construct a tree diagram and list the sample space. * Determine the probability that they select c) the juniper tree. 1 4 d) the maple tree and the square base. 1 12 e) a tree other than the boxwood. 3 4 19. Courses You decide to take a science course, an English course, and a mathematics course during the next term. The available courses that you can take are listed below. Science English Mathematics Biology Composition Algebra Geology Literature Statistics Physics Oceanography If the courses are randomly selected, a) determine the number of sample points in the sample space. 16 b) construct a tree diagram and list the sample space. * Determine the probability that c) physics is selected. 1 4 d) geology and literature are selected. 1 8 e) oceanography is not selected. 3 4 *See Instructor Answer Appendix Flashon Studio/Shutterstock
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