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PROBABILITY REVIEW PART 4 PROBABILITY FOR TEXT ANALYTICS Thomas Tiahrt, MA, PhD CSC492 Advanced Text Analytics

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Counting for Probability Computation 2

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Kinds of Probability 4 Five categories of probabilities Marginal probabilities Probability of a complement Joint (Intersection) probabilities Union probabilities Conditional probabilities

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Eight-Sided Die 5 Eight faces on each die Dots on a die are called pips

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Imaginary Eight-Sided Die 6

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Marginal Probabilities 7 OutcomeProbability {1}1/8 {2}1/8 {3}1/8 {4}1/8 {5}1/8 {6}1/8 {7}1/8 {8}1/8

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Examples of Marginal Probabilities 8

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Complementary Probabilities 9 Outcome {1} {2} {3} {4} {5} {6} {7} {8}

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Complementary Examples 10

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References 11 Sources: Foundations of Statistical Natural Language Processing, by Christopher Manning and Hinrich Schtze The MIT Press Discrete Mathematics with Applications, by Susanna S. Epp Brooks/Cole, Cengage Learning

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The end has come. End of Probability Slides Part 4 12