PPT-Theoretical Probability of Compound Events

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 . Shantanu. . Dutt. ECE Dept.. Uinv. . of Illinois at Chicago. Basics—Mutually Exclusive Events. p(A) will denote prob. of event A.. Two events A, B are mutually exclusive (ME) if one event happening precludes the possibility of the other. In other words p(both A and B happens) = p(A . 11: . Probability of Compound Events. (11.1. ) Compound Events. (11.2. ) Probability of a Compound Event. (11.3. ) Probability Viewed as Darts Tossed at a Dartboard. Motivating Example: Blood Type & . 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 . Experimental probability. : . Probability based on a collection of data.. Will have a table of results or data from the experiment(s)!. What is the difference between . theoretical probability. and . Slide . 2. Probability - Terminology. Events are the . number. of possible outcome of a phenomenon such as the roll of a die or a fillip of a coin.. “trials” are a coin flip or die roll. Slide . 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 . 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 . 6.4 . MATCHING PROBABILITIES . Probability is a measure of how likely an event is to occur.. Match one of the probabilities that follow with each statement about an event. (The probability . is usually . 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 . of the following:. BellWork. Answer the following:. Rolling a 4 on a . die. Rolling an even number on a . die. Rolling a number greater than 2 on a . die. . . . Probability of Compound Events. How to Hit it Big. probability of simple events. Why: . To calculate the probability of simple events and to analyze the difference . between theoretical probability and experimental probability.. Vocabulary:. . Probability– . Chapter Summary. Introduction to Discrete Probability. Probability Theory. Bayes. ’ Theorem. An Introduction to Discrete Probability. Section . 7.1. Section Summary. Finite Probability. Probabilities of Complements and Unions of Events. Probability and Probability Distribution Dr Manoj Kumar Bhambu GCCBA-42, Chandigarh M- +91-988-823-7733 mkbhambu@hotmail.com Probability and Probability Distribution: Definitions- Probability Rules –Application of Probability Mixture of Transparencies created by:. Dr. . Eick. and Dr. Russel. Reasoning and Decision Making Under Uncertainty. Quick Review Probability Theory . Bayes’ Theorem and Naïve Bayesian Systems. Bayesian Belief Networks.