PPT-Probability Lesson 4.6 The Multiplication Rule for

Independent Events 4 Use the multiplication rule for independent events to calculate probabilities Calculate P at least one using the complement rule and the multiplication rule for independent events. Corpora and statistical methods. In this lecture. Overview of rules of probability . multiplication rule. subtraction rule. Probability based on prior knowledge. conditional probability. Bayes’ theorem. Simulation. Probability rules. Counting and tree diagrams . Intersection (“and”): the multiplication rule, and independent events. Union (“or”): the addition rule, and disjoint events. Venn diagrams. Independence and the Multiplication Rule. Section 5.4: . Conditional Probability and the General Multiplication Rule. Conditional Probability. “Probability of event A given event B”. Event A happens . The Multiplication Rule & Conditional Probabilities. Objective. : . To use the addition rule to calculate probabilities. CHS Statistics. Warm-up: . Something to Consider…. Consider the following two test questions:. by Royce Hong and Kenneth Wang. Vocabulary. Random Phenomenon. : a situation in which we know what outcomes could happen, but the particular outcome is uncertain. Probability. : the long run relative frequency of an event. and are dependent otherwise. . The definition implies that B is independent of A as well, for if A is independent of B,. 2. Example. Consider a gas station with six pumps numbered 1,2,…,6, and let denote the simple event that a randomly selected customer uses pump j, j=1, …,6. Suppose that , . Janie Everett. EDT 605. Week One Assignment. Brain Rules Lesson Plan . *All citations are listed in slide notes*. What are Brain Rules?. There are12 brain rules. Rules about how the brain works. Can be used to enhance business and educational settings. The probability that events . A. and . B. both occur can be found using the . general multiplication rule. P. (. A . ∩. . B. ) = . P. (. A. ) • . P. (. B . | . A. ). where . P. (. B . | . A. ) is the conditional probability that event . Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . Probability Rules. Unit 4. When two events . A. and . B. are disjoint, we can use the addition rule for disjoint events from Chapter 14: . P. (A . . B) = . P. (A) . P. (B). However, when our events are not disjoint (not mutually exclusive), this earlier addition rule will double count the probability of . Chapter 4: Probability: The Study of Randomness Lecture Presentation Slides Macmillan Learning © 2017 Chapter 4 Probability: The Study of Randomness 4.1 Randomness 4.2 Probability Models 4.3 Random Variables Chapter 4: Probability: The Study of Randomness Lecture Presentation Slides Macmillan Learning © 2017 Chapter 4 Probability: The Study of Randomness 4.1 Randomness 4.2 Probability Models 4.3 Random Variables and Tree Diagrams. 4. Use the general multiplication rule to calculate probabilities.. Use . a tree diagram to model a chance process involving a sequence . of outcomes. .. Calculate . conditional probabilities using tree diagrams.. Principle and Permutations. 4. Use the multiplication counting principle to determine the number of ways to complete a process involving several steps.. Use . factorials to count the number of permutations of a group of individuals. .