PPT-Probability of Compound Events

Shantanu Dutt ECE Dept Uinv of Illinois at Chicago BasicsMutually Exclusive Events pA 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 pboth A and B happens pA . 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 . 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. http://mikeess-trip.blogspot.com/2011/06/gambling.html. 1. Uses of Probability. Gambling. Business. Product preferences of consumers. Rate of returns on investments. Engineering. Defective parts. Physical Sciences. We know how . to . solve . probability . problems involving rolling . of 2 dice.. MATH 110 Sec 13-3 Lecture: Conditional Probability and Intersection of Events . We know how . to . solve . probability . 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 . 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 . 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 . Section 5.1. How Probability Quantifies Randomness. Probability—outline:. I Introduction to Probability. A Satisfactory outcomes vs. total outcomes. B Basic Properties. C Terminology. II Combinatory 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.