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Statistics Chapter 4 Practice Test Name__________________________ Intro: Probability Test No Graphing Calculators Short Answer. Show your work. Points will be taken off if an answer is by itself. 1. Find P(rolling 2 or 5) with one number cube. 2. You have 15 pennies in your pocket. Of those pennies, 3 are Canadian. Suppose you pick a penny out of your pocket at random. Find P(not Canadian). 3. You put the names of all the students in your class in a paper bag. There are 14 boys and 20 girls. If you draw a name at random, what is P(boy’s name)? 4. A survey of teenagers found the music preferences listed. If you pick a teenager at random, what is P(rock)? Country 12 Jazz 5 Rock 7 Classical 6 New Age 6 Other 4 5. A bag contains 3 green marbles and 8 white marbles. Suppose a marble is randomly selected. What are the odds in favor of picking a white marble? Note: Odds are calculated ....Favorable / Unfavorable 6. A jar contains 45 red candies and 60 black candies. Suppose a candy is selected at random. What are the odds against selecting a red candy? 7. The probability of winning a particular game at the Game Place is . Find the odds against winning the game. 8. A sandwich is made with only one type of bread, one type of meat, and one type of cheese. There are 3 types of bread: white, wheat, or rye; 2 types of meat: turkey or roast beef; and 2 types of cheese: American or Swiss. Draw a tree diagram to show the number of sandwich choices. 9. You can order a skirt with the three different lengths (knee, mid-calf, ankle) and the four different colors (navy, black, khaki, denim). Draw a tree diagram to show the number of choices. 10. A lunch menu consists of 5 different sandwiches, 2 different soups, and 5 different drinks. How many choices are there for ordering a sandwich, a bowl of soup, and a drink? 11. Ms. Wong is redecorating her office. She has a choice of 7 colors of paint, 4 kinds of curtains, 3 colors of carpet, and 2 styles of furniture. How many different ways are there to redecorate if she can choose two different colors of paint, one kind of curtain, one color of carpet, and one style of furniture? 12. Use the table. a. How many possible pairs of jeans are there if each pair has one style and one color? b. Suppose you have one pair of jeans of each possible style and color in the table. What is the probability of choosing a pair of black jeans at random? Style regular loose fit boot cut slim fit Color light blue indigo washed black blue 13. Find the sample space for tossing 2 coins. Then find P(exactly 1 head). Use the Counting Principle to find the probability. 14. choosing the 8 winning lottery numbers when the numbers are chosen at random from 0 to 9 15. rolling a 4 on each of 4 number cubes 16. Jason and Kyle both choose a number from 1 to 10 at random. What is the probability that both numbers are odd? 17. A drawer contains 4 red socks, 3 white socks, and 3 blue socks. Without looking, you select a sock at random, replace it, and select a second sock at random. What is the probability that the first sock is blue and the second sock is red? 18. Two urns each contain green balls and blue balls. Urn I contains 4 green balls and 6 blue balls, and Urn II contains 6 green balls and 2 blue balls. A ball is drawn at random from each urn. What is the probability that both balls are blue? 19. Find the probability that 3 students chosen at random were all born on a Wednesday. 20. A local weather forecaster is accurate 85% of the time when predicting precipitation for the day. What is the probability that she will make correct precipitation predictions 4 days in a row? Round to the nearest whole percent. 1 . Find the probability that Shania arrives on time for 2 school for the next 5 days. Express your answer as a percent, to the nearest tenth of a percent. 21. The probability that Shania is on time for school is 22. On a 9-question true-or-false test you randomly guess at the answers. What is the probability that you get all 9 answers correct? What is the probability that you get all 9 answers wrong? 23. A bag contains 6 purple marbles and 7 white marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn. What is the probability that the first marble is white and the second one is purple? You select a card at random. Without replacing the card, you select a second card. Find the probability. M A T H E M A T I C S 24. P(M, then H) 25. P(T, then a vowel) 26. P(C, then T or S) 27. In how many different ways can you arrange 7 books on a shelf? 28. There are 4 children in Maria’s family. In how many ways can you list the children in all possible age orders? 29. How many permutations can be made using the letters S, T, U, D, Y, H, A, R, D? Note: The permutations need not be distinguishable. ie treat the double D's as separate letters. 30. How many 3-letter permutations are possible for the letters S, T, U, D, Y, H, A, R, D? Simplify the expression. 31. 32. 33. 34. 35. In how many ways could you choose two different letters from the letters M, A, T, H? 36. In how many ways could you choose two different letters from the letters C, O, U, N, T? 37. The Burger Diner offers burgers with or without any or all of the following: catsup, lettuce, and mayonnaise. How many different burgers can you order? 38. A panel of judges must consist of four women and three men. A list of potential judges includes six women and five men. How many different panels could be created from this list? Intro: Probability Test Answer Section SHORT ANSWER 1. ANS: 1 3 2. ANS: 4 5 3. ANS: 7 17 4. ANS: 5. ANS: 8 to 3 6. ANS: 4 to 3 7. ANS: 3 to 1 8. ANS: 9. ANS: 10. ANS: 50 choices 11. ANS: 7 choices for first color, 6 for next etc.... 7x6x4x3x2 = 1008 1,008 ways 12. ANS: 20 pairs; 13. ANS: 1 2 14. ANS: 1 100,000,000 15. ANS: 1 1,296 16. ANS: 17. ANS: 3 25 18. ANS: 3 20 19. ANS: 1 343 20. ANS: about 52% 21. ANS: 3.1% 22. ANS: 1 1 ; 512 512 23. ANS: 7 26 24. ANS: 25. ANS: 26. ANS: 27. ANS: 5,040 ways 28. ANS: 24 ways 29. ANS: 362,880 permutations 30. ANS: 504 permutations 31. ANS: 120 32. ANS: 95,040 33. ANS: 10 34. ANS: 153 35. ANS: 6 ways 36. ANS: 10 ways 37. ANS: 8 burgers 38. ANS: 150 panels