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

3. Counting for Probability Computation 2

4. 3

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

6. Eight-Sided Die 5  Eight faces on each die  Dots on a die are called ‘pips’

7. Imaginary Eight-Sided Die 6

8. 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

9. Examples of Marginal Probabilities 8

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

11. Complementary Examples 10

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

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