# Lecture Notes for MATH 351 - Probability at George Mason (GMU)

## Notes Information

 Material Type: Study Guide Professor: Staff Class: MATH 351 - Probability Subject: Mathematics University: George Mason University Term: -- Keywords: IndependenceIndependent EventsProbability SampleConditionalExclusive OrProbabilitiesConsequencesThe IndependentIndependentMultiplication Rule

## Sample Document Text

Math 351 Topics for Test 1 Chapter 1 Counting Techniques . Basic Principle of counting . The Generalized basic counting principle P . P n! . ennutatlons n, = ( ) . n-r C b · . C n! . om matlons n, = ( ) . n-r r! . The Binomial Theorem and the binomial coefficients . The Multinomial Theorem and ordered partitions of a set . Special counting techniques given by Proposition 6.1 and 6.2 Chapter 2 Introduction to Probability . Sample space, outcomes, events, and mutually exclusive events . Axioms of Probability and immediate consequences (Complement Rule, Inclusion-Exclusion Property) . Calculating probabilities for experiments with equally likely outcomes. Chapter 3 Conditional Probability and Independence . Conditional Probability - P(E I F) = p~(~)) . The Multiplication Rule and Tree diagrams P{E nF)= P{E)P{F / E) . Bayes Fonnula . Independence of events - Test for independence . Multiplication Rule for independent events P{E n F) = P{E)P{F) ...

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