Mathematics 3 Statistics Chapter 3 Basics of Probability

Mathematics 3 – Statistics Chapter 3: Basics of Probability

Basic Concepts � Chapter 3: BASICS OF PROBABILITY 2

Basic Concepts (continued) � Chapter 3: BASICS OF PROBABILITY 3

Notation (continued) � Chapter 3: BASICS OF PROBABILITY 4

Probability of Events � Chapter 3: BASICS OF PROBABILITY 5

Classical Probability Assessment � Chapter 3: BASICS OF PROBABILITY 6

Classical Probability Assessment (continued) Example 3. 3 When we roll a pair of dice, what is the probability a) b) Of getting a double? Of getting a total more than 8? Example 3. 4 What is the probability that poker player (Texas Holdʼem game) is dealt a) b) Two tens? Ace and king? Answers to both examples are available on my personal website. Classical probability assessment is not applicable if: � � The set of all elementary outcomes is infinite The set of all elementary outcomes is finite, but these outcomes are not equally likely Chapter 3: BASICS OF PROBABILITY 7

Relative Frequency Probability Assessment � Chapter 3: BASICS OF PROBABILITY 8

Axiomatic Definition of Probability � Chapter 3: BASICS OF PROBABILITY 9

Comments, Probability Rules � Chapter 3: BASICS OF PROBABILITY 10

What is Conditional Probability? � Chapter 3: BASICS OF PROBABILITY 11

Conditional Probability (continued) � Chapter 3: BASICS OF PROBABILITY 12

Multiplication Rule � Chapter 3: BASICS OF PROBABILITY 13

Independence of Events � Chapter 3: BASICS OF PROBABILITY 14

Independence of Events (continued) � Chapter 3: BASICS OF PROBABILITY 15

Independence of Events (continued) � Chapter 3: BASICS OF PROBABILITY 16