2. Probability Jeopardy Final Jeopardy Simple Probabilities Two Events (Replace the first disk) Counting Principle Two Events (Do Not Replace the first disk) Spinners One Event Q $100 Q $200 Q $300 Q $400 Q $500

3. $100 Question from Simple Probabilities What is the probability of rolling a 2 when a fair die is rolled once?

4. $100 Answer from Simple Probabilities 1/6

5. $200 Question from Simple Probabilities What is the probability of rolling an even number when a fair die is rolled once?

6. $200 Answer from Simple Probabilities ½

7. $300 Question from Simple Probabilities What is the probability that a card drawn at random from a deck of cards will be an ace ?

8. $300 Answer from Simple Probabilities

9. $400 Question from Simple Probabilities What is the probability that you will draw a red marble out of a bag with 5 red marbles, 6 blue marbles, and 4 yellow marbles?

10. $400 Answer from Simple Probabilities 5 = 1 15 3

11. $500 Question from Simple Probabilities A book contains 32 pages numbered 1, 2,..., 32. If a student randomly opens the book, what is the probability that the page number contains digit 1?

12. $500 Answer from Simple Probabilities 1,10,11,12,13,14, 15,16,17,18,19,2 1,31.40625

13. $100 Question from Two Events (Replace the First Disk) What is the Probability of: P(2, 7) given disks numbered 1-20? (Draw one disk, replace it, and draw a second disk)

14. $100 Answer from Two Events (Replace the First Disk) 1 X 1 = 1 20 20 400

15. $200 Question from Two Events (Replace the First Disk) What is the Probability of: P(even, 5) given disks numbered 1-20? (Draw one disk, replace it, and draw a second disk)

16. $200 Answer from Two Events (Replace the First Disk) 10 X 1 = 10 = 1 20 20 400 40

17. $300 Question from Two Events (Replace the First Disk) What is the Probability of: P(number greater than 15, number less than 5) given disks numbered 1-20? (Draw one disk, replace it, and draw a second disk)

18. $300 Answer from Two Events (Replace the First Disk) 5 X 4 = 20 = 1 20 20 400 20

19. $400 Question from Two Events (Replace the First Disk) What is the Probability of: P(multiple of 5, multiple of 3) given disks numbered 1-20? (Draw one disk, replace it, and draw a second disk)

20. $400 Answer from Two Events (Replace the First Disk) 4 X 6 = 24 = 3 20 20 400 50

21. $500 Question from Two Events (Replace the First Disk) What is the Probability of: P(prime number, even number) given disks numbered 1-20? (Draw one disk, replace it, and draw a second disk)

22. $500 Answer from Two Events (Replace the First Disk) 8 X 10 = 80 = 1 20 20 400 5

23. $100 Question from Counting Principle William wants a sandwich and a drink for lunch. If a restaurant has 4 choices of sandwiches and 3 choices of drinks, how many different ways can he order his lunch?

24. $100 Answer from Counting Principle 12

25. $200 Question from Counting Principle If a zip code consists of 5 digits from 0 – 9, how many possible zip codes can be created?

26. $200 Answer from Counting Principle 100000 = (10)(10)(10)(10)(10)

27. $300 Question from Counting Principle If a customer makes exactly 1 selection from each of the 5 categories listed below, what is the greatest number of different ice cream sundaes that a customer can create? 12 ice cream flavors; 10 kinds of candy; 8 liquid toppings; 5 kinds of nuts; With or without whip cream;

28. $300 Answer from Counting Principle 9600=(12)(10)(8)(5)(2)

29. $400 Question from Counting Principle You are at your school cafeteria that allows you to choose a lunch meal from a set menu. You have two choices for the Main course (a hot dog or a hamburger), Two choices of a drink (orange juice, apple juice) and Three choices of dessert(pie, ice cream, jello). How many different meal combos can you select?

30. $400 Answer from Counting Principle 12 = (2)(2)(3)

31. $500 Question from Counting Principle Licence Plates for cars are labeled with 3 letters followed by 3 digits.(in this case, digits refer to digits 0 – 9.) How many possible plates are there? You can use the same number more than once.

32. $500 Answer from Counting Principle (26)(26)(26)(10)(10)(10) = 17,576,000

33. $100 Question from Two Events (Do NOT Replace the First Disk) What is the Probability of P(7, odd number) given numbered disk 1-20. (Draw one disk, do NOT replace it and draw another disk)

34. $100 Answer from Two Events (Do NOT Replace the First Disk) 1 X 9 = 9 20 19 380

35. $200 Question from Two Events (Do NOT Replace the First Disk) What is the Probability of P(10, even number) given numbered disk 1-20. (Draw one disk, do NOT replace it and draw another disk)

36. $200 Answer from Two Events (Do NOT Replace the First Disk) 1 X 9 = 9 20 19 380

37. $300 Question from Two Events (Do NOT Replace the First Disk) What is the Probability of P(red marble, blue marble) given a bag of marbles containing 5 red marbles, 7 blue marbles, and 1 white marble. (Draw one marble, do NOT replace it and draw another marble)

38. $300 Answer from Two Events (Do NOT Replace the First Disk) 5 X 7 = 35 13 12 156

39. $400 Question from Two Events (Do NOT Replace the First Disk) What is the Probability of P(red marble, red marble) given a bag of marbles containing 5 red marbles, 7 blue marbles, and 1 white marble. (Draw one marble, do NOT replace it and draw another marble)

40. $400 Answer from Two Events (Do NOT Replace the First Disk) 5 X 4 = 20 = 5 13 12 156 39

41. $500 Question from Two Events (Do NOT Replace the First Disk) What is the Probability of P(blue marble, red marble, blue marble) given a bag of marbles containing 5 red marbles, 7 blue marbles, and 1 white marble. (Draw one marble, do NOT replace it and draw another marble)

42. $500 Answer from Two Events (Do NOT Replace the First Disk) 7 X 5 x 6 = 210 = 35 13 12 11 1716 286

43. $100 Question from Spinners What is the probability of the following spinner landing on Longitude?

44. $100 Answer from Spinners 1/3

45. $200 Question from Spinners What is the probability of the following spinner landing on blue or red?

46. $200 Answer from Spinners

47. $300 Question from Spinners What is the probability of the following spinner landing on yellow and red?

48. $300 Answer from Spinners 0

49. $400 Question from Spinners What is the probability of landing on a multiple of 3 if you spin the following spinner?

50. $400 Answer from Spinners

51. $500 Question from Spinners What is the probability of landing on 2 if you spin the following spinner?

52. $500 Answer from Spinners

53. $100 Question from One Event What is the Probability of P(odd number) given numbered disk 1-20. (Draw one disk only)

54. $100 Answer from One Event 10 = 1 20 2

55. $200 Question from One Event What is the Probability of P(1 or 20) given numbered disk 1-20. (Draw one disk only)

56. $200 Answer from Potpourri 1 + 1 = 2 = 1 20 20 20 10

57. $300 Question from One Event What is the Probability of P(greater than 10 or even) given numbered disk 1-20. (Draw one disk only)

58. $300 Answer from Potpourri 10 + 10 - 5 = 15 = 3 20 20 20 20 4 There are 10 numbers greater than 10 and there are 10 even numbers. You add the two probabilities. Since 12, 14, 16, 18, and 20 all qualify for greater than 10 and even, you must subtract 5.

59. $400 Question from One Event What is the Probability of P(greater than 10 and odd) given numbered disk 1-20. (Draw one disk only)

60. $400 Answer from One Event 5 = 1 20 4 The numbers greater than 10 and odd include 11, 13, 15, 17, 19

61. $500 Question from Event What is the Probability of P(less than 10 and even) given numbered disk 1-20. (Draw one disk only)

62. $500 Answer from One Event 4 = 1 20 5 The numbers less than 10 and even include 2, 4, 6, 8

63. Final Jeopardy What is the Probability of P(blue marble, white marble, blue marble, white marble) given a bag of marbles containing 5 red marbles, 7 blue marbles, and 1 white marble. (Draw one marble, do NOT replace it and draw another marble) You must show all steps in the process to earn the points.

64. Final Jeopardy Answer 7 X 1 X 6 X 0 = 0 13 12 11 10