Lesson 17.1 Skills Practice
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1 Lesson 17.1 Skills Practice Name Date Is It Better to Guess? Using Models for Probability Vocabulary Choose a term from the box to complete each sentence. probability model uniform probability model non-uniform probability model 1. A is a list of each possible outcome along with its probability. 2. When all probabilities in a probability model are the same, it is called a. 3. When all probabilities in a probability model are not the same, it is called a. Problem Set Construct a probability model for each situation. Determine whether the model is a uniform probability model or a non-uniform probability model. 1. Roll a 10-sided number polyhedron. Outcome Probability P(1) 5 1, or The model is a uniform probability model. Chapter 17 Skills Practice 961
2 Lesson 17.1 Skills Practice page 2 2. Randomly select a painted rock from a bag containing 4 purple rocks, 3 green rocks, 3 orange rocks, and 2 blue rocks. Outcome Probability 3. Spin a spinner with 8 numbered sections of equal size. Outcome Probability 962 Chapter 17 Skills Practice
3 Lesson 17.1 Skills Practice page 3 Name Date 4. Randomly select 1 of 5 members of your hockey team to take the first shot in an overtime shootout. Outcome Probability 5. Spin a spinner with colored sections of equal size. The spinner has 3 blue sections, 3 red sections, and 2 yellow sections. Outcome Probability Chapter 17 Skills Practice 963
4 Lesson 17.1 Skills Practice page 4 6. Randomly select a female member of the Math Club whose members are Marcus, Isabella, Jasmine, Levi, Joseph, Belinda, Catherine, James, and Julia. Outcome Probability Use the probability model to answer each question. Outcome Probability What is the probability of an outcome of 4? P(4) The probability of an outcome of 4 is What is the probability of an outcome of 7? 964 Chapter 17 Skills Practice
5 Lesson 17.1 Skills Practice page 5 Name Date 9. What is the probability of an outcome that is less than 6? 10. What is the probability of an outcome that is greater than 8? 11. What is the probability of an outcome that is an odd number? 12. What is the probability of an outcome that is less than 10? Chapter 17 Skills Practice 965
6 Lesson 17.1 Skills Practice page 6 Use the probability model to answer each question. Outcome A B C D E F Probability What is the probability of an outcome of B? 14. What is the probability of an outcome of F? 15. What is the probability of an outcome that is not C? 966 Chapter 17 Skills Practice
7 Lesson 17.1 Skills Practice page 7 Name Date 16. What is the probability of an outcome that is a consonant? 17. What is the probability of an outcome that is not A? 18. What is the probability of an outcome that is a vowel? Chapter 17 Skills Practice 967
8 968 Chapter 17 Skills Practice
9 Lesson 17.2 Skills Practice Name Date Three Girls and No Boys? Creating and Using Probability Models Vocabulary Define each term in your own words. 1. tree diagram 2. complementary events Problem Set List all of the possible outcomes for each problem situation. Complete the probability model using all the possible outcomes. 1. What is the probability that the first 3 students that enter a classroom are boys? List all of the possible outcomes for the first 3 students entering the classroom. Complete the probability model. Possible outcomes: BBB, BBG, BGB, BGG, GGG, GGB, GBG, GBB Outcome 0 boys 1 boy 2 boys 3 boys Probability The probability that the first 3 students that enter the classroom are boys is 1 8. Chapter 17 Skills Practice 969
10 Lesson 17.2 Skills Practice page 2 2. You toss a coin 2 times. What is the probability that both tosses result in heads? List all of the possible outcomes for the 2 coin tosses. Complete the probability model. Outcome 0 Heads 1 Heads 2 Heads Probability 3. A spinner has 2 equal parts. One part is blue; one part is white. What is the probability that spinning the spinner 3 times will result in only 1 blue result? List all of the possible outcomes for the 3 spins. Complete the probability model. Outcome 0 blue 1 blue 2 blue 3 blue Probability 4. A spinner has 3 equal parts. One part is red, one part is blue, and one part is yellow. What is the probability that spinning the spinner 2 times will result in 2 yellow results? List all of the possible outcomes of the 2 spins. Complete the probability model. Outcome 0 yellow 1 yellow 2 yellow Probability 970 Chapter 17 Skills Practice
11 Lesson 17.2 Skills Practice page 3 Name Date 5. A bag contains a purple stone, a yellow stone, and an orange stone. A stone is randomly chosen from the bag, the stone s color is recorded and the stone is replaced in the bag. If you choose a stone from the bag 2 times, what is the probability that only 1 of the chosen stones is purple? List all of the possible outcomes of choosing 2 stones. Complete the probability model. Outcome 0 purple 1 purple 2 purple Probability 6. A six-sided number cube has two faces with a 1, two faces with a 2, and two faces with a 3. It is tossed 2 times. What is the probability that both tosses result in a 1? List all of the possible outcomes of tossing the number cube 2 times. Complete the probability model. Outcome Zero 1s One 1 Two 1s Probability Chapter 17 Skills Practice 971
12 Lesson 17.2 Skills Practice page 4 Complete the tree diagram to determine the possible outcomes for each problem situation. Complete the probability model. 7. What is the probability that the first 4 students that enter a classroom are girls? Complete the tree diagram to determine all of the possible outcomes for the first 4 students entering the classroom. Complete the probability model. 1 st Boy Girl 2 nd Boy Girl Boy Girl 3 rd Boy Girl Boy Girl Boy Girl Boy Girl 4 th B G B G B G B G B G B G B G B G Outcome 0 girls 1 girl 2 girls 3 girls 4 girls Probability The probability that the first 4 students to enter the classroom are girls is Chapter 17 Skills Practice
13 Lesson 17.2 Skills Practice page 5 Name Date 8. You toss a coin 4 times. What is the probability that all 4 tosses result in heads? Complete the tree diagram to determine all of the possible outcomes for the 4 coin tosses. Complete the probability model. 1 st H T 2 nd 3 rd 4 th Outcome 0 heads 1 heads 2 heads 3 heads 4 heads Probability Chapter 17 Skills Practice 973
14 Lesson 17.2 Skills Practice page 6 9. A spinner has 3 equal parts. One part is green, one part is orange, and one part is yellow. What is the probability that spinning the spinner 3 times will result in 0 orange results? Complete the tree diagram to determine all of the possible outcomes of the 3 spins. Complete the probability model. 1 st Green Orange Yellow 2 nd 3 rd Outcome 0 orange 1 orange 2 orange 3 orange Probability 10. A six-sided number cube has two faces with a 1, two faces with a 2, and two faces with a 3. It is tossed 3 times. What is the probability that all 3 tosses result in a 1? Complete the tree diagram to determine all of the possible outcomes of tossing the number cube 3 times. Complete the probability model. 1 st nd 3 rd Outcome Zero 1s One 1 Two 1s Three 1s Probability 974 Chapter 17 Skills Practice
15 Lesson 17.2 Skills Practice page 7 Name Date 11. A bag contains a red stone, a yellow stone, and a blue stone. A stone is randomly chosen from the bag, the stone s color is recorded and the stone is replaced in the bag. If you choose a stone from the bag 2 times, what is the probability that only 1 of the chosen stones is blue? Complete the tree diagram to determine all of the possible outcomes of choosing 2 stones. Complete the probability model. 1 st Red Yellow Blue 2 nd Outcome 0 blue 1 blue 2 blue Probability 12. A spinner has 4 equal parts. One part is black, one part is white, one part is red, and one part is yellow. What is the probability that spinning the spinner 2 times will result in 2 red results? Complete the tree diagram to determine all of the possible outcomes of the 2 spins. Complete the probability model. 1 st Black White Red Yellow 2 nd Outcome 0 red 1 red 2 red Probability Chapter 17 Skills Practice 975
16 Lesson 17.2 Skills Practice page 8 Identify a complementary event. 13. A coin is tossed 1 time. The probability that tossing the coin will result in heads is P(heads). What is a complementary event? P(tails) 14. A spinner has 2 equal parts. One part is blue, one part is white. The probability that spinning the spinner will result in blue is P(blue). What is a complementary event? 15. A six-sided number cube is rolled. The probability that the result is less than 3 is P(less than 3). What is a complementary event? 16. A letter between A and E is chosen. The probability that the result is A is P(A). What is a complementary event? 17. A letter between A and E is chosen. The probability that the result is a vowel is P(vowel). What is a complementary event? 18. A letter between A and E is chosen. The probability that the result is not D is P(not D). What is a complementary event? 976 Chapter 17 Skills Practice
17 Lesson 17.3 Skills Practice Name Date Pet Shop Probability Determining Compound Probability Vocabulary Define the term in your own words. 1. compound event Problem Set Determine each probability using the probability table. A spinner has 6 parts labeled with the letters A through F. The probability table shows the probability of spinning each letter on the next spin. F A E B D C Outcome A B C D E F Probability What is the probability that the next spin is an A or B? P(A or B) 5 P(A) 1 P(B) Chapter 17 Skills Practice 977
18 Lesson 17.3 Skills Practice page 2 2. What is the probability that the next spin is a vowel? 3. What is the probability that the next spin is not C? 4. What is the probability that the next spin is a consonant? 978 Chapter 17 Skills Practice
19 Lesson 17.3 Skills Practice page 3 Name Date 5. What is the probability that the next spin is a D, E, or F? 6. What is the probability that the next spin is not an A or B? Chapter 17 Skills Practice 979
20 Lesson 17.3 Skills Practice page 4 Marbles were placed in two buckets. The first bucket contains 1 marble of each of the following colors: red, blue, green. The second bucket contains 1 marble of each of the following colors: yellow, green, purple, blue. R B G Y G P B 7. Determine the possible outcomes for choosing 1 marble from each bucket. RY, RG, RP, RB BY, BG, BP, BB GY, GG, GP, GB 8. What is the probability of choosing 2 unique colors? 9. What is the probability of choosing green from the first bucket and green from the second bucket? 980 Chapter 17 Skills Practice
21 Lesson 17.3 Skills Practice page 5 Name Date 10. What is the probability of choosing blue from the first bucket or blue from the second bucket? 11. What is the probability of choosing red from the first bucket or yellow from the second bucket? 12. What is the probability of choosing the same color from each bucket? Chapter 17 Skills Practice 981
22 Lesson 17.3 Skills Practice page 6 A game requires spinning a spinner numbered 1 through 5 and rolling a six-sided number cube Determine the possible outcomes for playing the game. Spinner Number Cube What is the probability of spinning an even number and rolling an even number? 15. What is the probability of spinning an odd number and rolling an odd number? 982 Chapter 17 Skills Practice
23 Lesson 17.3 Skills Practice page 7 Name Date 16. What is the probability of spinning a number less than 4 or rolling a number less than 4? 17. What is the probability of spinning a number greater than 3 or rolling a number greater than 3? Chapter 17 Skills Practice 983
24 Lesson 17.3 Skills Practice page What is the probability of spinning a 5 or rolling a 5? 19. What is the probability of spinning a 6 or rolling a 6? 984 Chapter 17 Skills Practice
25 Lesson 17.4 Skills Practice Name Date What Type of Blood Do You Have? Simulating Probability of Compound Events Problem Set Perform a simulation to determine each probability. 1. The preferences of customers at a local movie rental store are given in the table. Perform a simulation to determine the probability that out of the next 5 customers to rent a movie, at least 1 rents a comedy. Movie Type Comedy Drama Science Documentary Percent of Customers 31% 42% 22% 5% Sample answer. Assign the numbers 00 to 30 to the people who rent a Comedy movie. Assign the numbers 31 to 72 to the people who rent a Drama movie. Assign the numbers 73 to 94 to the people who rent a Science Fiction movie. Assign the numbers 95 to 99 to the people who rent a Documentary. Chapter 17 Skills Practice 985
26 Lesson 17.4 Skills Practice page 2 Trial Number Numbers Number of Customers Who Rent a Comedy 1 65, 28, 59, 71, , 85, 30, 10, , 58, 38, 16, , 04, 43, 51, , 17, 26, 45, , 22, 93, 01, , 43, 81, 09, , 56, 92, 98, , 50, 95, 63, , 31, 19, 99, 25 2 Out of the 10 trials, 8 trials had at least 1 customer rent a comedy. P(at least 1 customer rents a comedy) Chapter 17 Skills Practice
27 Lesson 17.4 Skills Practice page 3 Name Date 2. A survey at a middle school asked students their hair color. The percentage of students with each hair color is shown in the table. Perform a simulation to determine how many students will enter the building before a student with blond hair enters the building. Hair Color Brown Blond Red Percent of Students 71% 23% 6% Chapter 17 Skills Practice 987
28 Lesson 17.4 Skills Practice page 4 Trial Number Numbers Number of Students to Enter the Building Before A Blond Student 988 Chapter 17 Skills Practice
29 Lesson 17.4 Skills Practice page 5 Name Date 3. A survey at a middle school asked students to choose their favorite sport to watch on TV. The percentage of students who prefer each sport is shown in the table. Perform a simulation to determine the probability that out of the next 5 students to enter the building, at least 1 prefers hockey. Sport Football Baseball Basketball Hockey Percent of Students 32% 30% 26% 12% Chapter 17 Skills Practice 989
30 Lesson 17.4 Skills Practice page 6 Trial Number Numbers Number of Students Who Prefer Hockey 990 Chapter 17 Skills Practice
31 Lesson 17.4 Skills Practice page 7 Name Date 4. The kicker of the high school football team makes 4 out of every 6 field goal attempts. What is the probability that the kicker will successfully make the next 2 field goals? Perform a simulation to determine the probability. Trial Number Numbers Number of Successful Field Goal Attempts Chapter 17 Skills Practice 991
32 Lesson 17.4 Skills Practice page 8 5. The attendant at a parking garage notices that typically 2 out of every 6 cars that enter the parking garage are white. Perform a simulation to determine how many cars will enter the parking garage before a white car enters the parking garage. Trial Number Numbers Number of Cars to Enter the Parking Lot Before A White Car 992 Chapter 17 Skills Practice
33 Lesson 17.4 Skills Practice page 9 Name Date 6. At a bakery, 3 out of 5 customers who enter the bakery prefer banana nut muffins to the other flavors available. Perform a simulation to determine how many customers will enter the bakery before a customer who prefers banana nut muffins enters the bakery. Trial Number Numbers Number of Customers to Enter the Bakery Before A Customer Who Prefers Banana Nut Muffins Chapter 17 Skills Practice 993
34 994 Chapter 17 Skills Practice
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