1. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Welcome to Who Wants to be a Millionaire 50:50

2. © Mark E. Damon - All Rights Reserved Another Presentation © 2000 - All rights Reserved markedamon@hotmail.com

3. © Mark E. Damon - All Rights Reserved

4. 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

5. © Mark E. Damon - All Rights Reserved C: trial B: probability distribution D: expected value 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 A ____ of a real situation is an experimental model of the situation that attempts to capture all aspects of the situation that affect all outcomes. A: simulation

6. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

7. © Mark E. Damon - All Rights Reserved A: 1 C: 6 B: 1/6 D: 5/6 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Consider rolling a single fair die. Let A be the event {1, 2, 3} and B be the event {2, 4, 5, 6}. Find P(A∩B). B: 1/6

8. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

9. © Mark E. Damon - All Rights Reserved A: 42B: 120 D: 5040 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 How many five letter words can be formed from the letters of the word CENTRAL? C: 2520

10. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

11. © Mark E. Damon - All Rights Reserved A: 15 C: 2520D: 3125 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Suppose a bag contains 5 balls number 1 through 5. In how many ways can you select 5 balls from the bag if there is no replacement after selection? B: 120

12. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

13. © Mark E. Damon - All Rights Reserved A: Events are complementary C: Events are independent D: Events are independent & mutually exclusive 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 The Kansas schools are competing to be state basketball champions. Indicate which is true of the following events: Event 1: Central girls win 4A state title. Event 2: Circle girls win 4A state title. B: Events are mutually exclusive, but not complementary

14. © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $1,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

15. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

16. © Mark E. Damon - All Rights Reserved A: 3 C: 9D: 10 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Solve: n P 7 = 6 n P 5 B: 8

17. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

18. © Mark E. Damon - All Rights Reserved A: 1/49B: 1/100 D: 1/1024 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 A test has 10 true-false questions. If you know three answer and guess on seven, what is the probability that you will get them all correct? C: 1/128

19. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

20. © Mark E. Damon - All Rights Reserved A: ≈ 0.028B: ≈ 0.25 D: ≈ 0.833 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 During the 1996-1997 season, Michael Jordan made 83.3% of the free throws he attempted. Assume independence of free-throw attempts and find the probability that MJ would make two of two free throws. C: ≈ 0.694

21. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

22. © Mark E. Damon - All Rights Reserved C: 4 daysD: 5 days 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 A researcher collects the following data about the incubation time of a certain disease. Find the mean incubation time. A: 3.5 daysB: 4.5 days

23. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

24. © Mark E. Damon - All Rights Reserved C: complementary B: mutually exclusive D: A and C 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Let P(A) =.5, P(B) =.2, and P(AUB) =.6 Which of the following applies to the events? A: independent

25. © Mark E. Damon - All Rights Reserved Congratulations! You’ve Reached the $32,000 Milestone! Congratulations! C o n g r a t u l a t i o n s !

26. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

27. © Mark E. Damon - All Rights Reserved A: 2,216,980,800B: 24 D: 1.056 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Evaluate 76! 72! C: 30,791,400

28. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

29. © Mark E. Damon - All Rights Reserved A: 10 n C: 240n!D: 5040n! 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Susan has a choice of n math classes, five science classes and two history classes. In how many ways can she select one of each of the three kinds of classes? B: 10n

30. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

31. © Mark E. Damon - All Rights Reserved 77.54 C: Has Occurred B: Is Impossible D: Has Not Occurred 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 P(E) = 1 means that event E …. A: Must Always Occur

32. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

33. © Mark E. Damon - All Rights Reserved C: ≈ $22.33 B: ≈ - $1 D: not enough information 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 In a lottery, 120 tickets are sold at $1 each. First prize is $50 and second prize is $20. Find the expected value of a ticket. A: ≈ - 41.7¢

34. © Mark E. Damon - All Rights Reserved 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100

35. © Mark E. Damon - All Rights Reserved A: 0.0021 C: 0.45 B: 0.6141 50:50 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 $1 Million $500,000 $250,000 $125,000 $64,000 $32,000 $16,000 $8,000 $4,000 $2,000 $1,000 $500 $300 $200 $100 Fifteen percent of the students at a military academy are female. If three students at this academy are selected at random, what is the probability that they are of the same gender? D: 0.6175

36. © Mark E. Damon - All Rights Reserved YOU WIN $1 MILLION DOLLARS!