Section 13.2 Complements and Union of Events. Objective 1.Finding the probability that an event will not occur. 2.Find the probability of one event or.

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Presentation transcript:

Section 13.2 Complements and Union of Events

Objective 1.Finding the probability that an event will not occur. 2.Find the probability of one event or a second event occurring. 3.Understand and use odds.

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.

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

Example 2: Using the Complement TB pg. 740/

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

Example 4: TB pg. 741/9

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)

Example 5: Union of Events TB pg. 741/

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

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

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

Example 9: TB pg. 741/23

Example 10: Calculating Probabilities TB pg. 742/29

Example 11: Calculating Probabilities TB pg. 742/33

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