PPT-Chapter 6: Probability The study of randomness

64 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 . 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?. 5.1.1 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. 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). 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:. 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 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.