PPT-Lesson 13.4 Find Probabilities of Compound Events

Essential Question How do you find the probability of compound events Before we start Suppose you randomly select a classmate Event A is selecting a female student and event B is selecting a student with . For example let be the probability that a die roll is even and be the probability that a die roll is greater than 3 We have the following sets to describe each event The probability that the joint event occurs is the probability that the outcome is St. . Edward’s. University. .. .. .. .. .. .. .. .. .. .. .. SLIDES. . .. . BY. Chapter 4. Introduction to Probability. Experiments, Counting Rules, . and Assigning Probabilities. Events and Their Probability. Unions and Intersections. When you consider all the outcomes for either of two events, A and B, you form the . union. of A and B.. When you consider only the outcomes shared by both A and B, you form the . Assigning Probabilities and Probability Relationships. Chapter 4. BA 201. Assigning Probabilities. Assigning Probabilities. Basic Requirements for Assigning Probabilities. 1. The probability assigned to each experimental. Professor William Greene. Stern School of Business. IOMS Department. Department of Economics. Statistics and Data Analysis. Part 3 – Probability. Probability: Probable Agenda. Randomness and decision making. . .. . BY. John Loucks. St. . Edward’s. University. .. .. .. .. .. .. .. .. .. .. .. Chapter 4. Introduction to Probability. Experiments, Counting Rules, . and Assigning Probabilities. Events and Their Probability. A Review. Some Terms. Random Experiment. : An experiment for which the outcome cannot be predicted with certainty. Each experiment ends in an . outcome. The collection of all outcomes is called the . 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:. Introduction to Probability. Chapter 4. Introduction to Probability. Experiments, Counting Rules, Events, and Assigning Probabilities. Some Basic Relationships of Probability. Conditional Probability. Algebra 2. Chapter 10. This Slideshow was developed to accompany the textbook. Larson Algebra 2. By Larson. , R., Boswell, L., . Kanold. , T. D., & Stiff, L. . 2011 . Holt . McDougal. Some examples and diagrams are taken from the textbook.. Warm Up. The probability of a compound event is equal . to the . ratio of the number of ways an event . can occur . to the total number of equally . likely outcomes. .. The . sample space for a compound event can . Dr J Frost (jfrost@tiffin.kingston.sch.uk). www.drfrostmaths.com. . Last modified: . 17. th. November 2015. For Teacher Use. Recommended lesson structure:. Lesson 1. : Finding probabilities by enumerating outcomes (Ex 1). I . toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, i.e., the probability of heads is 1/2 and the probability of tails is 1/2. This means. a. . every . occurrence of a head must be balanced by a tail in one of the next two or three tosses.. 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 .