PPT-Ch 5 Probability: The Mathematics of Randomness

511 Random Variables and Their Distributions A random variable is a quantity that prior to observation can be thought of as dependent on chance phenomena Toss a coin 10 times X of heads. Both Sides of the Coin. Dave Mark – Intrinsic Algorithm LLC. Brian Schwab – Blizzard. Dave Mark. President & Lead Designer . of . Intrinsic . Algorithm . LLC. Independent Game Studio. AI Consulting Company. Dr. X. Topics. What Does Randomness Mean?. Randomness in . games. Generating Random Values. Random events in real life: measuring . randomness. What is Randomness?. Unpredictability?. Does it characterize a single event or a sequence of events?. Upper and Lower Bounds. Matthew . Coudron. , Thomas . Vidick. , Henry Yuen. arXiv:1305.6626. The motivating question. Is it possible to test randomness?. The motivating question. Is it possible to test randomness?. th. edition – For AP*. STARNES, YATES, MOORE. Chapter 5: Probability: What are the Chances?. Section 5.1. Randomness, Probability, and Simulation. Chapter 5. Probability: What Are the Chances?. 5.1 . Probability. The idea of probability is that chance behavior is unpredictable on the short run, but has a regular pattern in the long run…. Probability. Behavior is . random. if, while individual outcomes are uncertain, for a large number of repetitions, outcomes are regularly distributed.. and Patterns of Illusion. GROUP 1. Celestine. Walter. Jun Yue (Presenter). OUTLINE. Illusions – human perception. Causes. Effects. Randomness in the financial market. Hot-hand fallacy. Bill Miller. 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. 1. Random: Having no definite aim or purpose; not sent or guided in a particular direction; made, done, occurring, etc., without method or conscious choice; haphazard. (Oxford English. Dictionary). Presented by. Derrick W. Smith, Ed.D., COMS. University of Alabama in Huntsville. Recommendations Based on Research. Students can learn both concepts and skills by solving problems.. Giving students both an opportunity to discover and invent new knowledge and an opportunity to . Matt . Coudron. and Henry Yuen. 6.845. 12/12/12. God does not play dice. . . --. Albert Einstein. Einstein, stop telling God what to do. . . --. Niels. Bohr. The Motivating Question. Is it possible to test randomness?. Starnes, Tabor, Yates, Moore . Bedford Freeman Worth Publishers. CHAPTER 5. Probability: What Are . the Chances?. 5.1. Randomness, Probability, . and Simulation. Learning Objectives. After this section, you should be able to:. 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 . 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 4. Interpret probability as a long-run relative frequency. . Dispel . common myths about randomness.. Use . simulation to model chance behavior.. Randomness, Probability, and Simulation. Randomness, Probability, and Simulation.