Probability &
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Objectives
Probability
Models
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Probability & Statistics
Basic Probability 1
TRAN Hoang Tung
NGUYEN Minh Huong
NGUYEN Mai Chung
University of Science and Technology of Hanoi (USTH)
September 05, 2019

Probability &
Statistics
Objectives
Probability
Models
Probability
Law
Probability
Theory
Overview
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1
Lesson Objectives
2
Probability Models
Sample Space
Set Theorem
3
Probability Law
Probability Axioms
Examples
4
Probability Theory Overview

Probability &
Statistics
Objectives
Probability
Models
Probability
Law
Probability
Theory
Overview
3/22
1
Lesson Objectives
2
Probability Models
3
Probability Law
4
Probability Theory Overview

Probability &
Statistics
Objectives
Probability
Models
Probability
Law
Probability
Theory
Overview
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Lesson Objectives
At the end of this lesson, you should be able to
1
remember about
set theorem, infinite series

Probability &
Statistics
Objectives
Probability
Models
Probability
Law
Probability
Theory
Overview
4/22
Lesson Objectives
At the end of this lesson, you should be able to
1
remember about
set theorem, infinite series
2
be familiar with probability
notations
: sample space,
axioms

Probability &
Statistics
Objectives
Probability
Models
Probability
Law
Probability
Theory
Overview
4/22
Lesson Objectives
At the end of this lesson, you should be able to
1
remember about
set theorem, infinite series
2
be familiar with probability
notations
: sample space,
axioms
3
have an overview about probability theory

Probability &
Statistics
Objectives
Probability
Models
Sample Space
Set Theorem
Probability
Law
Probability
Theory
Overview
5/22
1
Lesson Objectives
2
Probability Models
Sample Space
Set Theorem
3
Probability Law
4
Probability Theory Overview

Probability &
Statistics
Objectives
Probability
Models
Sample Space
Set Theorem
Probability
Law
Probability
Theory
Overview
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Definition
A Probabilistic Model
A probabilistic model is a quantitative description of an
experiment
whose outcome is uncertain:
toss/roll a die
flip a coin
draw a card

Probability &
Statistics
Objectives
Probability
Models
Sample Space
Set Theorem
Probability
Law
Probability
Theory
Overview
6/22
Definition
A Probabilistic Model
A probabilistic model is a quantitative description of an
experiment
whose outcome is uncertain:
toss/roll a die
flip a coin
draw a card
2 Steps
Putting together such a model involves two key steps.
describe the possible outcomes
→
sample space
specify a
probability law
, which describe likelihood of
outcomes.

Probability &
Statistics
Objectives
Probability
Models
Sample Space
Set Theorem
Probability
Law
Probability
Theory
Overview
7/22
Sample Space
Definition
A set of all possible outcomes
Ω
.

Probability &
Statistics
Objectives
Probability
Models
Sample Space
Set Theorem
Probability
Law
Probability
Theory
Overview
7/22
Sample Space
Definition
A set of all possible outcomes
Ω
.

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