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Announcements: Bluman, Chapter 4. Sec 4.2 Addition Rules for Probability Bluman, Chapter 4.

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Presentation on theme: "Announcements: Bluman, Chapter 4. Sec 4.2 Addition Rules for Probability Bluman, Chapter 4."— Presentation transcript:

1 Announcements: Bluman, Chapter 4

2 Sec 4.2 Addition Rules for Probability Bluman, Chapter 4

3 Terms Mutually exclusive events Venn Diagrams Bluman, Chapter 4

4 4.2 Addition Rules for Probability mutually exclusive events Two events are mutually exclusive events if they cannot occur at the same time (i.e., they have no outcomes in common) Bluman, Chapter 4 In your group, state an example of: A)A set of events that are mutually exclusive B)A set of events that are NOT mutually exclusive

5 4.2 Addition Rules for Probability mutually exclusive events Two events are mutually exclusive events if they cannot occur at the same time (i.e., they have no outcomes in common) Bluman, Chapter 4

6 Chapter 4 Probability and Counting Rules Section 4-2 Example 4-15 Page #200 6 Bluman, Chapter 4

7 Example 4-15: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. a. Getting an odd number and getting an even number Getting an odd number: 1, 3, or 5 Getting an even number: 2, 4, or 6 Mutually Exclusive 7 Bluman, Chapter 4

8 Example 4-15: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. b. Getting a 3 and getting an odd number Getting a 3: 3 Getting an odd number: 1, 3, or 5 Not Mutually Exclusive 8 Bluman, Chapter 4

9 Example 4-15: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. c. Getting an odd number and getting a number less than 4 Getting an odd number: 1, 3, or 5 Getting a number less than 4: 1, 2, or 3 Not Mutually Exclusive 9 Bluman, Chapter 4

10 Example 4-15: Rolling a Die Determine which events are mutually exclusive and which are not, when a single die is rolled. d. Getting a number greater than 4 and getting a number less than 4 Getting a number greater than 4: 5 or 6 Getting a number less than 4: 1, 2, or 3 Mutually Exclusive 10 Bluman, Chapter 4

11 Chapter 4 Probability and Counting Rules Section 4-2 Example 4-18 Page #201 11 Bluman, Chapter 4

12 Example 4-18: Political Affiliation At a political rally, there are 20 Republicans, 13 Democrats, and 6 Independents. If a person is selected at random, find the probability that he or she is either a Democrat or an Republican. Mutually Exclusive Events 12 Bluman, Chapter 4

13 Chapter 4 Probability and Counting Rules Section 4-2 Example 4-21 Page #202 13 Bluman, Chapter 4

14 StaffFemalesMalesTotal Nurses Physicians 8 5 Example 4-21: Medical Staff In a hospital unit there are 8 nurses and 5 physicians; 7 nurses and 3 physicians are females. If a staff person is selected, find the probability that the subject is a nurse or a male. 14 Bluman, Chapter 4 71 32 Total 10313

15 Example 4-22 On New Year’s Eve, the probability of a person driving while intoxicated is 0.32, the probability of a person having a driving accident is 0.09, and the probability of a person having a driving accident while intoxicated is 0.06. What is the probability of a person driving while intoxicated or having a driving accident?

16 Non mutually exclusive Venn diagram.

17 Mutually Exclusive Diagram A B

18 Homework Section 4.2 APPYLING CONCEPTS PAGE 203 Page 204-206, #1-25 odds


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