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

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Announcements: Bluman, Chapter 4

Sec 4.2 Addition Rules for Probability Bluman, Chapter 4

Terms Mutually exclusive events Venn Diagrams Bluman, Chapter 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

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

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

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

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

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

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

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

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

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

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 Total 10313

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 What is the probability of a person driving while intoxicated or having a driving accident?

Non mutually exclusive Venn diagram.

Mutually Exclusive Diagram A B

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