FINAL REVIEW - Ch. 11 Probability #1

FINAL REVIEW - Ch. 11 Probability #1 9th Grade Algebra 1A / Algebra 1 Beta (Ms. Dalton) Student Name/ID: Instructor Note: SHOW ALL WORK! 1. A bag with marbles is shown below. ( marbles are black, is white, and are grey.) A marble is chosen from the bag at random. What is the probability that it is black? Write your answer as a fraction in simplest form. 2. A box is filled with brown cards, yellow cards, and green cards. A card is chosen at random from the box. What is the probability that it is a brown or a green card? Write your answer as a fraction in simplest form. ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 1/13

3. A spinner with equally sized slices is shown below. ( slices are white, is grey, and are black.) The dial is spun and stops on a slice at random. What are the odds in favor of landing on a white slice? 4. A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The has the same probability. outcomes are listed in the table below. Note that each outcome For each of the three events below, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 2/13

5. An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events: Event Event The sum is greater than The sum is an odd number. Write your answers as exact fractions. 6. A bag with marbles is shown below. ( marbles are grey, are white, and are black.) A marble is chosen from the bag at random. What is the probability that it is grey? Write your answer as a fraction in simplest form. 7. A bag has brown marbles and yellow marbles. Half of the yellow marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a yellow, glass marble? Write your answer as a fraction in simplest form. ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 3/13

8. A bag with marbles is shown below. ( marbles are grey, is black, and are white.) A marble is chosen from the bag at random. What are the odds in favor of choosing a grey marble? 9. A coin is tossed three times. An outcome is represented by a string of the sort HTT (meaning a head on the first toss, followed by two tails). The has the same probability. outcomes are listed in the table below. Note that each outcome For each of the three events below, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 4/13

10. An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events: Event The sum is greater than Event The sum is not divisible by and not divisible by. Write your answers as exact fractions. 11. The Venn diagram shows the memberships for the Volleyball Club and the Softball Club. Use the diagram to answer the questions below. (a) How many people play Volleyball? (b) How many people play both Volleyball and Softball? (c) How many people play Softball but not Volleyball? ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 5/13

12. The Venn diagram shows the memberships for the Science Club and the Computer Club. Use the diagram to answer the questions below. (a) How many members does the Computer Club have? (b) How many students are in the Science Club but not in the Computer Club? (c) How many students are members of both the Science Club and the Computer Club? ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 6/13

13. A class is choosing a president, a vice president, and a treasurer. There are three students running for president: Ann, Maria, and Linda. There are two students running for vice president: Bob and John. There are two students running for treasurer: Jessica and Amanda. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. (a) How many outcomes are there? (b) How many outcomes have Ann or Maria being chosen? (c) How many outcomes have both Bob and Jessica being chosen? ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 7/13

14. Charmaine must choose a size, a flavor of ice cream, and a topping for her ice cream dessert. There are two sizes to choose from: small and medium. There are two flavors to choose from: chocolate and strawberry. There are two toppings to choose from: nuts and cherries. The tree diagram below shows the possible outcomes. Use the diagram to answer the questions. (a) How many outcomes are there? (b) How many outcomes do not have strawberry ice cream being chosen? (c) How many outcomes have both chocolate ice cream and cherries being chosen? 15. Keith must choose a shirt, a pair of pants, and a cap for today's outfit. He has shirts, pairs of pants, and caps to choose from. How many different outfits can he make? 16. The Wongs are selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desk, and dressers to select from. How many different furniture sets could they select? ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 8/13

17. Hale High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People Interested Faculty Member Male Student Female Student Parent Ms. Bailey, Mr. Parker, Dr. Brooks Miguel, Dan, Chang Lena, Amy, Debra Mrs. Lopez, Mr. Morris, Ms. Cook, Dr. Phillips School Board Member Ms. Hughes, Mrs. Nelson, Dr. Evans Based on this list, how many ways are there to fill the five committee positions? 18. Monroe High School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People Interested Faculty Member Male Student Female Student Parent Dr. Kim, Mrs. Bennett, Mr. Reed, Ms. Walker Alan, Charlie, Jose, Ivan, Milan, Dan Heather, Nicole, Tammy, Keisha, Melissa, Linda Mr. Bell, Ms. Stewart, Mrs. Carter School Board Member Mr. Ramirez, Mrs. Henderson, Ms. Garcia, Dr. Chen Based on this list, how many ways are there to fill the five committee positions? 19. Evaluate. Simplify your answer as much as possible. ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 9/13

FINAL REVIEW - Ch. 11 Probability #1 Answers for class 9th Grade Algebra 1A / Algebra 1 Beta 1. 2. 3. : 4. 5. 6. 7. 8. : 9. ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 11/13

10. 11. (a) How many people play Volleyball? (b) How many people play both Volleyball and Softball? (c) How many people play Softball but not Volleyball? 12. (a) How many members does the Computer Club have? (b) How many students are in the Science Club but not in the Computer Club? (c) How many students are members of both the Science Club and the Computer Club? 13. (a) outcome(s) (b) (c) outcome(s) outcome(s) 14. (a) outcome(s) (b) (c) outcome(s) outcome(s) 15. 16. 17. 18. 19. ALEKS FINAL REVIEW - Ch. 11 Probability #1-05/22/2015 08:52 AM EDT - Copyright 2015 UC Regents and ALEKS Corporation. P. 12/13