Lesson 17.1 Assignment Name Date Is It Better to Guess? Using Models for Probability Charlie got a new board game. 1. The game came with the spinner shown. 6 7 9 2 3 4 a. List the sample space for using this spinner. b. What is the probability that Charlie spins the spinner and gets a 7? Chapter 17 Assignments 315
Lesson 17.1 Assignment page 2 c. What is the probability that Charlie spins the spinner and gets a 3? d. Complete the probability model for using this spinner. Outcome 2 3 4 6 7 9 Probability e. What is the sum of the probabilities in the probability model? f. What is the probability that Charlie spins the spinner and gets an even number? g. What is the probability that Charlie spins the spinner and gets a number less than 9? 316 Chapter 17 Assignments
Lesson 17.1 Assignment page 3 Name Date 2. Charlie and his friends, Rachel, Emily, and Michael, are going to play the board game. They need to determine who will get to go first. They each put their name on a piece of paper and put the papers in a hat. Charlie s mom randomly pulls out 1 name to determine who goes first. a. Complete the probability model for this situation. Outcome Charlie Rachel Emily Michael Probability b. What is the probability that a girl gets selected to go first? 3. The board game gives bonus points when you land on a bonus square. The table shows how many bonus squares there are for each number of bonus points awarded. Point Value Number of Bonus Squares 10 15 20 12 30 5 40 2 50 1 a. How many bonus squares are on the board game? Chapter 17 Assignments 317
Lesson 17.1 Assignment page 4 b. Create a probability model for randomly landing on the squares in the board game. c. What is the probability of randomly landing on a square that awards 30 or more bonus points? d. What is the probability of randomly landing on a square that awards fewer than 30 bonus points? e. What is the probability of randomly landing on a square that awards 100 bonus points? 318 Chapter 17 Assignments
Lesson 17.2 Assignment Name Date Three Girls and No Boys? Creating and Using Probability Models 1. Kimberly is learning probability in middle school while her little brother, Rodney, is learning arithmetic in first grade. Kimberly uses a six-sided number cube to help Rodney learn how to add one-digit numbers. She rolls two cubes, numbered 1 through 6, and Rodney adds up the two numbers on the faces. a. Use a tree diagram to determine all the possible outcomes. List the sum at the end of each branch of the tree. Chapter 17 Assignments 319
Lesson 17.2 Assignment page 2 b. Complete the probability model for rolling 2 six-sided number cubes and finding the sum of the faces. Sum Probability Sum Probability c. What is the probability that the sum is 7? d. What is the probability that the sum is 11? e. Calculate the probability that the sum is an even number. 320 Chapter 17 Assignments
Lesson 17.2 Assignment page 3 Name Date f. Calculate the probability that the sum is more than 5. g. What event would be complementary to the event that the sum is more than 5? Explain your reasoning. Chapter 17 Assignments 321
Lesson 17.2 Assignment page 4 2. When Kimberly and Rodney finish their math homework, they go outside to shoot some hoops. On average, Kimberly makes half of all of the shots that she takes. a. She shoots the basketball 4 times. Construct a tree diagram for all possible outcomes of the 4 shots. b. Complete the probability model. Outcome Makes all 4 shots Makes 3 shots Makes 2 shots Makes 1 shot Makes 0 shots Probability 322 Chapter 17 Assignments
Lesson 17.2 Assignment page 5 Name Date c. What is the probability of making all 4 shots? d. Calculate the probability of making 3 or more shots. e. Calculate the probability of making 2 or more shots. Chapter 17 Assignments 323
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Lesson 17.3 Assignment Name Date Pet Shop Probability Determining Compound Probability Porter is pulling colored tiles out of a bag to use for an art project that she has entitled Random. The table shows the number of tiles of each color that are in the bag. Color Number of Tiles Blue 10 Yellow 12 Pink 6 Green 3 Purple 9 1. Porter randomly selects tiles from her bag. a. How many tiles are in her bag? b. Complete the probability model for pulling tiles from the bag. Outcome Blue Yellow Pink Green Purple Probability Chapter 17 Assignments 325
Lesson 17.3 Assignment page 2 c. What is the probability that Porter pulls out a green or purple tile? d. What is the probability that Porter pulls out a pink, green, or purple tile? 326 Chapter 17 Assignments
Lesson 17.3 Assignment page 3 Name Date 2. Once Porter finishes placing the tiles in her art project, she needs to determine the color of the grout that goes in between the tiles and the color of the frame around the project. She flips a coin to decide if she is going to use blue or yellow grout. She assigns heads to blue grout and tails to yellow grout. She puts a yellow, green, blue, and purple tile in a bag and pulls one out to determine the frame color. a. Determine the possible outcomes for flipping a coin and randomly picking a tile out of the bag. Show your work. b. How many possible outcomes are there? c. What events make up randomly choosing the same color for grout and the frame? d. Determine the probability of randomly choosing the same color for grout and the frame. Chapter 17 Assignments 327
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Lesson 17.4 Assignment Name Date What Type of Blood Do You Have? Simulating Probability of Compound Events 1. In 1900, half of the babies born in America were born with blue eyes. What is the probability that 3 out of 4 babies born had blue eyes? a. What might be a good model for simulating the probability of a baby being born with blue eyes in 1900? b. How could you assign the heads and tails on a coin to model this situation? c. Describe one trial of the simulation. Chapter 17 Assignments 329
Lesson 17.4 Assignment page 2 d. Conduct 20 trials of the simulation and record your results in the table. Trial Number Outcome Number of heads from the 4 coins 330 Chapter 17 Assignments
Lesson 17.4 Assignment page 3 Name Date e. Count the number of times a 3 occurs in your table. f. According to your simulation, what is the probability that 3 out of 4 babies born have blue eyes? 2. By the start of the 21st century, only 1 in 6 babies in America was born with blue eyes. What is the probability that at least 1 out of 2 babies has blue eyes? a. What might be a good model for simulating the probability of a baby being born with blue eyes in 2000? b. How could you assign numbers to model this situation? Chapter 17 Assignments 331
Lesson 17.4 Assignment page 4 c. Describe one trial of the simulation. d. Conduct 20 trials of the simulation and record your results in the table. Trial Number Outcome Number of times the cube showed number 1 332 Chapter 17 Assignments
Lesson 17.4 Assignment page 5 Name Date Trial Number Outcome Number of times the cube showed number 1 e. In how many trials did the number 1 show on the cube? f. According to your simulation, what is the probability that at least 1 out of 2 babies born in 2000 has blue eyes? Chapter 17 Assignments 333
334 Chapter 17 Assignments