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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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