MATH 105 • Final • Introduction to Finite Mathematics

Formulation

Example

Graphical Solution Method

Example

Example

Example

Alternative Optimal Solutions

Example

Basic Principles of Counting

Counting Examples

Permutations

Permutations Example

Groups and Circular Permutation Example

Identical Objects Example 1

Identical Objects Example 2

Identical Objects Example 3

Combination

n choose r

Committee Example 1

Committee Example 2

Ball Example 1

Ball Example 2

Sample Space and Events

Probability

Axioms of Probability

Some Rules

Coin Example

Dice Example

Card Example 1

Card Example 2

Ball Example

Set Example

Birthday Example

Conditioning Events

Total Probability Rule

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Bayes' Rule

Bayes' Rule Example 1

Bayes' Rule Example 2

Independence

Independence Example 1

Independence Example 2

Linear Programming 1

Linear Programming 2

Linear Programming 3

Linear Programming 4

Counting 1

Counting 2

Counting 3

Counting 4

Counting 5

Counting 6

Counting 7

Axioms of Probability 1

Axioms of Probability 2

Axioms of Probability 3

Axioms of Probability 4

Axioms of Probability 5

Axioms of Probability 6

Axioms of Probability 7

Axioms of Probability 8

Axioms of Probability 9

Axioms of Probability 10

Axioms of Probability 11

Axioms of Probability 12

Conditional Probability 1

Conditional Probability 2

Conditional Probability 3

Conditional Probability 4

Conditional Probability 5

Conditional Probability 6

Conditional Probability 7

Conditional Probability 8

Independence 1

Independence 2

Independence 3

Conditional Probability and Independence

Conditional Probability and Independence

Bayes' Rule 1

Bayes' Rule 2

Bayes' Rule 3

Bayes' Rule 4

Bayes' Rule 5

Bayes' Rule 6

Bayes' Rule 7

Bayes' Rule 8

Bayes' Rule 9