1 / 16

Probability Complements and Event Unions

Learn how to find the probability of events not occurring, calculate odds, and determine the likelihood of one or both events happening. Understand complements, union of events, and mutually exclusive events. Practice computing probabilities with examples.

vina
Download Presentation

Probability Complements and Event Unions

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related