1. Section 13.2 Complements and Union of Events

2. Objective • Finding the probability that an event will not occur. • Find the probability of one event or a second event occurring. • Understand and use odds.

3. Key Concept: • Computing the Probability of the Complement of an event. • If E is an event, then P(E’) = 1 – P(E) • From previous section.

4. Example 1: Using the Complement • TB pg. 740/1

5. Example 2: Using the Complement • TB pg. 740/5

6. Example 3: Using the Complement • TB pg. 740/8

7. Example 4: • TB pg. 741/9

8. Key Concept: • Rule for Computing the Probability of a Union of Two Events • If E and F are events, then • P(E U F) = P(E) + P(F) – P(E ∩ F). • If E and F have no outcomes in common they are called mutually exclusive events. In this case, since E ∩ F = ø, the preceding formula simplifies to • P(E U F) = P(E) + P(F)

9. Example 5: Union of Events • TB pg. 741/13

10. Example 6: Union of Events • TB pg. 741/15

11. Example 7: Union of Events • TB pg. 741/17

12. Example 8: Union of Events • TB pg. 741/19

13. Example 9: • TB pg. 741/23

14. Example 10: Calculating Probabilities • TB pg. 742/29

15. Example 11: Calculating Probabilities • TB pg. 742/33

16. Section 13.2 Assignment • Classwork: • TB pg. 740/2 – 36 Even • Remember you must write problem and show ALL work to receive credit for this assignment. • DUE Monday, 11/ 21/11