PPT-2. Axioms of Probability

part two Birthdays You have a room with n people What is the probability that at least two of them have a birthday on the same day of the year Probability model experiment outcome birthdays of . ZFC axioms Before introducing any settheoretic axioms at all we can i ntroduce some important ab breviations abbreviates abbreviates x abbreviates y abbreviates y abbreviates In principle any state M . Taimoor. Khan. taimoorkhan@ciit-attock.edu.pk. Course Objectives. Basic Concepts. Tools. Database architecture and design. Flow of data (DFDs). Mappings (ERDs). Formulating queries (Relational algebra). Phil 218/338. Welcome and thank you!. Outline. Part I: What is Bayesian epistemology?. Probabilities as . credences. The axioms of probability. Conditionalisation. Part II: Applications and problems:. Joint work with . Shai. Ben-David. Measures of Clustering Quality: . A Working Set of Axioms for Clustering. Clustering is one of the most widely used . tools for . exploratory data analysis.. . . : Statistics in Earth & Atmospheric Sciences. Lecture 1: Review of Probability. Instructor: Prof. Johnny Luo. www.sci.ccny.cuny.edu/~luo. Outlines. Definition of terms. Three Axioms of Probability. William W. Cohen. Machine Learning 10-605. Warmup. : Zeno’s paradox. Lance Armstrong and the tortoise have a race. Lance is 10x faster. Tortoise has a 1m head start at time 0. 0. 1. . So, when Lance gets to 1m the tortoise is at 1.1m. g. Janet Kuopus. Fall 2008 – ED311/316. My Positive Learning Story. Hiking with a Friend. She encouraged me. When it seemed I couldn’t go anymore. She believed in me. She had the patience and the time for me. The idea that underlays computational Theory. Components. Set of objects, S. Collection of functions relating objects in S. Set of axioms. that specify membership in S . specify properties of functions. calculus. 1 ≥ . Pr. (h) ≥ 0. If e deductively implies h, then Pr(h|e) = 1. .. (disjunction rule) If h and g are mutually exclusive, then . Pr. (h or g) = . Pr. (h) . Pr. (g). (disjunction rule) If h and g are . What we learned last class…. We are not good at recognizing/dealing with randomness. Our “random” coin flip results weren’t streaky enough.. If B/G results behave like independent coin flips, we know how many families to EXPECT with 0,1,2,3,4 girls.. William W. Cohen. Machine Learning 10-605. Jan 19 2012. Probabilistic and Bayesian Analytics. Andrew W. Moore. School of Computer Science. Carnegie Mellon University. www.cs.cmu.edu/~awm. awm@cs.cmu.edu. Chapter 2 of Computational Social Choice . by William . Zwicker. Introduction. If we assume. every two voters play equivalent roles in our voting rule. every two alternatives are treated equivalently by the rule. A value between zero and one that describe the relative possibility(change or likelihood) an event occurs.. The MEF announces that in 2012 the change Cambodia economic growth rate is equal to 7% is 80%.. Probability Space of Two Die. σ-. Algebra (. ℱ. ). Sample Space (Ω). [...]. E5={(1,4),(2,3),(3,2),(4,1)}. [...]. Probability Measure Function (P). P. E5. 0.11. Probability Measure Function (P). .