11-4 Make an Organized List Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up A game die with eight sides numbered 1 through 8 is rolled. Find each probability. 1. P(1, 2, or 3) 2. P(even number) 3. P(number greater than 9) Course Make an Organized List 3 8 __ 1 2 0

Problem of the Day Sam and Pam can have an apple, an orange, or a pear. What is the probability that they will pick the same snack? Course Make an Organized List 1 3 __

Learn to make an organized list to find all possible outcomes. Course Make an Organized List

Course Make an Organized List When you have to find many possibilities, one way to find them all is to make an organized list. A tree diagram is one way to organize information.

Course Make an Organized List Additional Example 1: Using a Tree Diagram Matt wants to take a 3-day weekend trip to visit his grandparents. He can take either Friday or Monday off from work, and he can either fly, drive, take a train, or take a bus. How many options are available to Matt? FridayMondayfly drive take a train take a bus Friday and fly Friday and drive Friday and take a train Friday and take a bus fly drive take a train take a bus Monday and fly Monday and drive Monday and take a train Monday and take a bus

Course Make an Organized List Additional Example 1 Continued Follow each branch on the tree diagram to find all of the possible outcomes. There are 8 different weekend trip combinations available to Matt.

Course Make an Organized List Try This: Example 1 For her work uniform, Missy has a choice of three colors of pants—black, khaki, or navy. She has four choices for shirt colors—red, white, green, and yellow. How many different uniforms can Missy wear? black pants khaki pants red shirt white shirt green shirt yellow shirt black pants and red shirt black pants and white shirt black pants and green shirt black pants and yellow shirt red shirt white shirt green shirt yellow shirt khaki pants and red shirt khaki pants and white shirt khaki pants and green shirt khaki pants and yellow shirt

Course Make an Organized List Try This: Example 1 Continued Follow each branch on the tree diagram to find all of the possible outcomes. There are 12 different uniform combinations available to Missy. navy pants navy pants and red shirt navy pants and white shirt navy pants and green shirt navy pants and yellow shirt red shirt white shirt green shirt yellow shirt

Course Make an Organized List Additional Example 2: Problem Solving Application One girl and one boy will be chosen to go to the state science fair. The girl finalists are Alia, Brenda, Cathy, Deb, and Erika. The boy finalists are Frank, Greg, and Hal. How many different pairs of one girl and one boy can be formed?

Course Make an Organized List Additional Example 2 Continued 1 Understand the Problem The answer will be the number of different pairs of one girl and one boy. List the important information: There are five girls, A, B, C, D, and E. There are three boys, F, G, and H. Only one girl and one boy will be chosen. Use each student’s first initial.

Course Make an Organized List You can make an organized list to keep track of the sequences. 2 Make a Plan Additional Example 2 Continued

Course Make an Organized List Solve 3 List all the pairs that begin with A. AF, AG, AH List all the pairs that begin with B. BF, BG, BH List all the pairs that begin with C. CF, CG, CH List all the pairs that begin with D. DF, DG, DH List all the pairs that begin with E. EF, EG, EH Additional Example 2 Continued There are 5 groups of 3 pairs = 15 There are 15 pairs of one girl and one boy.

Course Make an Organized List You could have made a list beginning with a boy’s name. There would be 3 groups of 5 pairs = 15 Look Back 4 Each list will have 15 pairs of one girl and one boy. Additional Example 2 Continued

Course Make an Organized List Try This: Example 2 One girl and one boy will be chosen to go to the movie preview. The girl finalists are Fay, Gerri, Heidi, and Ingrid. The boy finalists are Kevin, Larry, and Marc. How many different pairs of one girl and one boy can be formed?

Course Make an Organized List Try This: Example 2 Continued 1 Understand the Problem The answer will be the number of different pairs of one girl and one boy. List the important information: There are five girls, F, G, H, and I. There are three boys, K, L, and M. Only one girl and one boy will be chosen. Use each student’s first initial.

Course Make an Organized List You can make an organized list to keep track of the sequences. 2 Make a Plan Try This: Example 2 Continued

Course Make an Organized List Solve 3 List all the pairs that begin with F. FK, FL, FM List all the pairs that begin with G. GK, GL, GM List all the pairs that begin with H. HK, HL, HM List all the pairs that begin with I. IK, IL, IM Try This: Example 2 Continued There are 4 groups of 3 pairs = 12 There are 12 pairs of one girl and one boy.

Course Make an Organized List You could have made a list beginning with a boy’s name. There would be 3 groups of 4 pairs = 12 Look Back 4 Each list will have 12 pairs of one girl and one boy. Try This: Example 2 Continued

Lesson Quiz 1. A baseball coach has 4 pitchers, 3 catchers, and 2 shortstops on his team. How many different combinations of players can he use for the positions? 2. You are taking a 5-question true/false test. How many possible combinations of answers are there? 3. You are planning a small game booth at the local street fair. You have a choice of 3 games and 4 different prizes. How many combinations of games and prizes are there? Insert Lesson Title Here 12 Course Make an Organized List