1. Section 13.4 Expected Value

2. Objectives 1. Compute expected value. 2. Use expected value to solve applied problems. 3. Use expected value to determine the average payoff or loss in a game of chance.

3. Key Terms Expected Value: a mathematical way to use probabilities to determine what to expect in various situation over the long run. Used to determine premiums on insurance policies, weigh the risks versus the benefits of alternatives in business ventures, and indicate to a player of any game of chance what will happen if the game is played repeatedly.

4. Expected Value: The standard way to find expected value is to multiply each possible outcome by its probability, and then add these products. We will use EV to represent expected value.

5. Key Concept: Determining if a game is fair: If a game has an expected value of 0, then the game is called fair. A game in which the expected value is not 0 is an unfair game.

6. Example 1: Calculating Expected Value TB pg. 762/1

7. Example 2: Calculating Expected Value TB pg.763/3 123456 1 2 3 4 5 6

8. Example 3: Calculating Expected Value TB pg.763/5

9. Example 4: Calculating Expected Value TB pg.763/7

10. Example 5: Calculate Price to Make Game Fair TB pg.763/9

11. Example 6: Calculate Price to Make Game Fair TB pg.763/11

12. Example 7: Calculations TB pg.763/13 1 st Calculate EV, Determine Fair, Determine Fair Price

13. Example 8: Calculations TB pg.763/15 1 st Calculate EV, Determine Fair, Determine Fair Price

14. Example 9: Roulette Wheel TB pg.763/17 Calculate EV

15. Example 10: Standardized Test TB pg.763/21 Guessing

16. Example 11: Standardized Test TB pg.764/23 Guessing

17. Example 12: Life Insurance TB pg.764/25 Calculate EV

18. Example 13: Expected Gain/Loss TB pg.764/29 Calculate Gain/Loss

19. Example 14: Expected Weekly Profit TB pg.764/31 Calculate Profit

20. Section 13.4 Assignment Class work: TB pg. 763/2 – 32 Even Remember you must write problems and show ALL work to receive credit for this assignment. Class assignments are 40% of your grade. This assignment is due Friday, 12/02/11.