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Probability (5) - Probability Probability the measure of...

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Probability Probability – the measure of the likelihood of a random event Probability Experiment – repeatable process that produces uncertain results Tossing two dice, flipping a coin twice, drawing five cards from a deck, … Outcome – result of a probability experiment 7, HT, KH, JD, 3C, 7H, 10S, … Law of Large Numbers – as the number of repetitions of a probability experiment increases, the empirical probability approaches the theoretical probability. Sample Space – set of all possible outcomes of a probability experiment 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 HH, HT, TH, TT too many to list … 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 Event – any collection of outcomes from a probability experiment 7 or 11 at least one T All diamonds … Classical (Theoretical) Probability – probability measurement based on (number of ways an event can occur) / (number of possible outcomes) 8 36 = 2 9 3 4 1287 2598960 Empirical (Statistical) Probability – probability measurement based on (number of observed events) / (number of experiment trials) 4 seven or elevens thrown four our of four times out of five hands dealt, none out of 36 tries. at least one tail was thrown had all diamonds …
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