Chapter 3.3（课件）- 《统计学基础（英文版）》同步教学（人民大学版）

Chapter Probability 3 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 1 Larson/Farber 6th ed Chapter 1 Chapter Outline 3.1 Basic Concepts of Probability and Counting 3.2 Conditional Probability and the Multiplication Rule 3.3 The Addition Rule 3.4 Additional Topics in Probability and Counting 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 3.3 The Addition Rule . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Section 3.3 Objectives How to determine whether two events are mutually exclusive How to use the Addition Rule to find the probability of two events . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Mutually Exclusive Events Mutually exclusive Two events A and B cannot occur at the same time A and B have no outcomes in common A and B are mutually exclusive A and B are not mutually exclusive . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. Example: Recognizing Mutually Exclusive Events Determine whether the events are mutually exclusive. Explain your reasoning. Event A: Roll a 3 on a die. Event B: Roll a 4 on a die. Solution: Mutually exclusive (The first event has one outcome, a 3. The second event also has one outcome, a 4. These outcomes cannot occur at the same time.) . 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 6 Example: Recognizing Mutually Exclusive Events Determine whether the events are mutually exclusive. Explain your reasoning. Event A: Randomly select a male student. Event B: Randomly select a nursing major. . Solution: Not mutually exclusive (The student can be a male nursing major.) 1 Copyright 2019, 2015, 2012, Pearson Education, Inc. 7 Example: Recognizing Mutually Exclusive Events Determine whether the events are mutually exclusive. Explain your reasoning. Event A: Randomly select a blood donor with type O blood. Event B: Randomly select a female blood donor.. . Solution: Not mutually exclusive (The donor can be a female with type O blood) 1 Copyright 2019, 2015, 2012, Pearson Educati