COMPSCI 70 Chapter Notes - Chapter 13: Probability Space, List Of Poker Hand Categories, Coin Flipping
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6:42 am probability - likelihood; the use of models to reason about uncertainty. The numerators and denominators or probabilities are calculated by counting. 3) sample space event space - a collection of events (subsets of the sample space) probability function - a function that assigns a probability to each outcome; measures the likelihood of each outcome. Uniform distribution of probability space (the sum of all probabilities of the sample points in a) Ex. flipping a fair coin, dealing a poker hand that is uniform (the sum of the probabilities of all outcomes/sample points is 1) The set of all possible combinations of the elements in a and the elements in b. The probability of a sample point is one fraction of the total number of sample points. For uniform spaces, computing probabilities reduces to counting the number of sample points. Each event is a set containing 0+ outcomes/sample points. The probabiltiy of both event a and b hapenning is p(a)p(b)