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Math 7 (Holt) Name _________________________ Test Unit 10 Date _______________ Period ____ Reasoning with Probability. Determine Probability & Possible Outcomes (10.1-10.5) _______ / 32 points = _______% Probability Reasoning. 1. A bag contains five yellow disks, eight red disks, four orange disks, and two blue disks. All the disks are the same size. A. Would you be more likely to pull an orange or a yellow disk? ____________ B. What color disk are you least likely to pull? ____________ C. Explain how you can tell if you are more likely to pull a red disk than a blue disk. ________________________________________________ Determine if each event is impossible, unlikely, as likely as not, likely, or certain. 4. There are 4 pens and 10 pencils in a drawer. A. How likely is it to pull out a pencil? ___________________ B. How likely is it to pull out a crayon? ___________________ 5. There are 8 yellow cards and 8 green cards in a box. A. How likely is it to pull out a green card from the box? __________________ B. How likely is it to pull a card from the box? __________________ Unit 10 Test (HOLT) Page 1 Find the experimental probability. 6. At a restaurant, 32 out of 60 customers order a dessert. What is the experimental probability that the next customer will order dessert? 6. __________ 7. After a movie premiere, 100 out of 125 people surveyed said they like the movie. What is the experimental probability that the next person did not like the movie? 7. ___________ 8. Sarah was throwing darts at a target. She hit the yellow ring 6 times, the blue ring 9 times, and the purple ring 8 times. What is the experimental probability that the next dart will hit the purple ring? 8. ___________ Find the theoretical probabilities using the given spinner for #9-11. 9. P(4) = ______ 10. P(an odd number) = ________ 11. P(number >5) = ________ Applications with probability. 12. Jaime has a bag of candy with some tootsie rolls and some jolly ranchers in it. He tells you that if you draw a candy from his bag, the theoretical probability that you draw a jolly rancher is 35%. He has 60 pieces of candy in the bag. How many pieces of candy in his bag must be jolly ranchers? 12. ______________ 13. Raul rolls a 1-6 number cube. On the first four rolls, he gets a 3, 5, 5, and a 5. He predicts he has a 75% chance of getting a 5 on his next roll. Do you agree? Explain. Do you agree? ________ Explain: ________________________________ __________________________________ Unit 10 Test (HOLT) Page 2 Determine possible outcomes. 14. For dinner, Fernando has a choice of hamburger (h), pasta (p), or chicken (c) and choice of fruit(f) or vegetable(v). A. What are all the possible dinners he can have? B. How large is the sample space? ___________ Multiple Choice: Circle the best answer. 15. There are 6 arcades in town. Each arcade has 9 different games. How many choices of games are there? A. 3 C. 15 B. 48 D. 54 Decide if the events are independent or dependent. 16. Spinning a spinner and rolling a number cube 16. ______________ 17. Picking a marble from a bag, replaces it, then picks again. 17. ______________ 18. Choosing a sock from a drawer, then picking a sock without replacing the first. 18. ______________ Find the probabilities. 19. Greg has 4 nickels, 5 quarters, and 2 dimes in his pocket. If he randomly chooses two coins, what is the probability that both are nickels? 19. ______________ 20. Katie is guessing on 1 true-false question and 1 multiple-choice question with answer choices A, B, C, and D. What is the probability that she guesses both answers correctly? 20. ______________ Unit 10 Test (HOLT) Page 3 Solve Percent Problems (6.1 – 6.5) _______ / 18 points = _______% Write the percent as a fraction in simplest form and as a decimal. 21. 64% simplified fraction: __________ decimal: ________ Write each number as a percent. 7 22. _____ % 23. 0.053 _____% 5 Compare. Write <, >, or =. Justify your answers. 24 24. 0.6 6% 25. 95% 25 Multiple Choice: Circle the correct answer. 26. Find 9% of 40. A. 0.36 B. 3.6 C. 36 D. 360 Solve. Show work to justify your answers. 27. 27 is what percent of 30? 27. __________ 28. 80 is 32% of what number? 28. __________ Find the error. 29. Levi was asked to find the percent of change when his monthly allowance went from $40 to $45. He said his allowance increased by about 8%. Levi is not correct. Describe his error. Then find the correct percent of change answer. Levi’s work: Describe his error: Find the correct Percent of Change: __________________ 40 0.8 45 __________________ Increased by __________________ about 8% __________________ Unit 10 Test (HOLT) Page 4