Noteables Interactive Study Notebook (26491.0K) - McGraw-Hill ...

7–5Sample SpacesBUILD YOUR VOCABULARY (pages 169–170)MAIN IDEA• Construct samplespaces using treediagrams or lists.The set of all possible outcomes is called the sample space.A tree diagram is a diagram that shows all possibleoutcomes of an event.EXAMPLE Use a List to Find Sample SpaceVACATION While on vacation, Carlos can go snorkeling,boating, and paragliding. In how many ways can Carlosdo the three activities? Make an organized list to showthe sample space.Make an organized list. Use S for snorkeling, B for boating, andP for paragliding.ORGANIZE ITIn your Foldable, tell howa tree diagram is used toshow a sample space. ®There areCarlos can do the three activities.Check Your Progress STUDENT COUNCILKen, Betsy, Sally, and David are seated in a row at the headtable at a student council meeting. In how many ways can thefour students be seated? Make an organized list to show thesample space.EXAMPLE Use a Tree Diagram to Find a Sample SpaceA car can be purchased with either two doors or fourdoors. You may also choose leather, fabric, or vinyl seats.Use a tree diagram to find all the buying options.List each choice for the number of doors. Then pair each choicefor the number of doors with each choice for the types of seats.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.182 Math Connects, Course 1