《统计学基础(英文版·第7版)》教学课件les7e ppt 03 03.pptx
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1、统计学基础(英文版第7版)教学课件les7e_ppt_03_03,统计学基础(英文版第7版)教学课件les7e_ppt_,Chapter Outline,3.1 Basic Concepts of Probability and Counting3.2 Conditional Probability and the Multiplication Rule3.3 The Addition Rule3.4 Additional Topics in Probability and Counting,Chapter Outline3.1 Basic Conce,Section 3.3,The Addi
2、tion Rule,.,Section 3.3The Addition Rule.,Section 3.3 Objectives,How to determine whether two events are mutually exclusiveHow to use the Addition Rule to find the probability of two events,.,Section 3.3 ObjectivesHow to d,Mutually Exclusive Events,Mutually exclusiveTwo events A and B cannot occur a
3、t the same timeA and B have no outcomes in common,A and B are mutually exclusive,A and B are not mutually exclusive,.,Mutually Exclusive EventsMutua,Example: Recognizing Mutually Exclusive Events,Determine whether the events are mutually exclusive. Explain your reasoning.Event A: Roll a 3 on a die.E
4、vent 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.),.,Example: Recognizing Mutually,Example: Recognizing Mutually Exclusive Events,Determine whether the events are mut
5、ually 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.),Example: Recognizing Mutually,Example: Recognizing Mutually Exclusive Events,Determine whether the ev
6、ents 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),Example: Recognizing Mutually,The Addition Rule,Addition rule fo
7、r the probability of A or BThe probability that events A or B will occur isP(A or B) = P(A) + P(B) P(A and B)For mutually exclusive events A and B, the rule can be simplified toP(A or B) = P(A) + P(B)Can be extended to any number of mutually exclusive events,.,The Addition RuleAddition rule,Example:
8、 Using the Addition Rule to Find Probabilities,You select a card from a standard deck. Find the probability that the card is a 4 or an ace.,Solution:The events are mutually exclusive (if the card is a 4, it cannot be an ace),.,Example: Using the Addition Ru,Example: Using the Addition Rule to Find P
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