Probability For Beginners : Building a Foundation

This course lays a strong foundation of concepts to compute and interpret theoretical and experimental probabilities.
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  • Lectures 35
  • Contents Video: 2.5 hours
    Other: 20 mins
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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About This Course

Published 12/2013 English

Course Description

This is a foundation course for those who want to learn the fundamentals of probability. Beginning with the definition of probability, the course will gradually introduce various terms and concepts with appropriate worked out examples.Three videos are designed to give a clear picture of various approaches to probability.The course also includes a brief note on the history of probability. Building on probability concepts that begin in the middle grades, students use the language of set theory to expand their ability to compute and interpret theoretical and experimental probabilities for compound events, attending to mutually exclusive and exhaustive events.

The course also provides extra practice problems with solutions on the following topics:

1. Sample spaces

2.Experimental or Empirical probability

3. Classical or theoretical probability.

4. Mutually exclusive and exhaustive system of events.

What are the requirements?

  • For lectures 1 to 7, 9 to 14, 20 to 26, 31 to 33, 35 no special skills are required. The student is supposed to know simple arithmetic and must be able to solve simple linear equations.
  • For lectures 8, 15 to 19, 27 to 30, 34, 35 the following Set theory concepts are required:
  • Must be familiar with sets and their representations.
  • Knowledge about empty sets, finite and Infinite sets, equal sets, subsets, universal set, power set.
  • Able to understand Venn diagrams.
  • Understanding of Union and Intersection of sets, difference of sets, complement of a set.
  • Familiar with the concepts : function, domain, range, real valued function.
  • Able to solve linear equations in one or two variables.
  • Familiar with sigma or summation notation.(desired)

What am I going to get from this course?

  • Over 35 lectures and about 3 hours of content!
  • The overall course goal is to lay a strong foundation of concepts to compute and interpret theoretical and experimental probabilities.
  • Objective 1.Understand and define the term Probability
  • Objective 2 .Understand basic terms related to the concept of Probability.
  • Objective 3. Understand various approaches to probability and calculating probability using formula.
  • Objective 4. To become familiar with Sample spaces and their construction.
  • Objective 5. To understand algebra of events and types of events.
  • Objective 6. To encounter problems related to empirical, classical, axiomatic approaches, mutually exclusive and exhaustive events.

What is the target audience?

  • This is a foundation course for those who want to learn probability from scratch.
  • Lectures 1 to 7, 9 to 14, 20 to 26, 31 to 33, 35 are catered for K-8, K-9 and K-10 grades students. These lectures will also be helpful to K-11 and K-12 grade students in the sense that they serve as a recap to pursue the topic further.
  • Lectures 8, 15 to 19, 27 to 30, 34, 35 are in continuation with the topics covered in the above mentioned lectures. So in particular will help K-11 and K-12 students.
  • Also, anybody who wants to brush up the topic probability for any competitive exam within a short span of time, this course is strongly recommended.
  • This course is a bonus for people who have keen interest in the subject of Mathematics and also for the people who have great passion for the subject!

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Welcome to the course
01:11

This is an introductory or overview lecture.

Section 2: Historical Note
02:51

This video gives a brief historical note on probability and how the theory of probability came into existence.

Section 3: Definition
01:28

Understand and define the term probability.

Section 4: Understanding the terminology
08:24

In this video you will understand the following terms:

Experiment, random experiment, trial, outcomes, favourable outcomes, equally likely outcomes and sample space.

03:52

In this video you will understand the following terms:

Event, occurrence of an event, sure event, impossible event, elementary event and compound event.

Section 5: Various approaches to Probability
03:38

In this video you will understand the experimental or empirical approach to probability.

02:56

In this video you will understand the classical or theoretical approach to probability.

10:50

In this video you will understand the axiomatic approach to probability.

Section 6: Note on pack of cards, coins and dice
01:04

A brief note on a pack of 52 playing cards will be given.

01:43

A brief note on tossing of the coins will be given.

02:19

A brief note on throwing of dice will be given.

Section 7: Sample spaces
05:27

In this video you will learn various ways to represent or illustrate sample spaces.

11:45

In this video you will learn how to write sample space for a given experiment.

07:09

In this video more problems on writing sample spaces for a given experiment will be taken up.

Section 8: Algebra of Events
10:02

In this video you will learn to construct new events by combining two or more events associated to a random experiment.

07:49

In this video you will learn to translate the verbal description of the event to its equivalent set theoretic notation.

Section 9: Mutually Exclusive and Exhaustive Events
03:29

In this video mutually exclusive events will be defined and an example to understand the same will be taken up.

05:09

In this video exhaustive events will be defined and examples to understand the same will be taken up.

06:31

In this video the events that are both mutually exclusive and exhaustive will be discussed and examples to understand the same will be taken up.

Section 10: Solved problems
08:48

This video contains solved problems on the topic empirical probability.

08:27

This video contains solved problems on the topic empirical probability.

07:17

This video contains solved problems on the topic classical probability.

04:55

This video contains solved problems on the topic classical probability.

04:07

This video contains solved problems on the topic classical probability.

03:28

This video contains solved problems on the topic classical probability.

03:55

This video contains solved problems on the topic classical probability

02:31

This video contains solved problems on axiomatic approach to probability.

05:58

This video contains solved problems on Mutually exclusive& Exhaustive Events

04:25

This video contains solved problems on Mutually exclusive and Exhaustive Events.

04:31

This video contains solved problems on Mutually exclusive& Exhaustive Events

Section 11: Extra problems for practice with solutions
5 pages

Extra problems on sample spaces for practice (with solutions).

3 pages

Extra problems on empirical probability for practice (with solutions).

5 pages

Extra problems on classical probability for practice (with solutions).

7 pages

Extra problems on Events for practice (with solutions).

Section 12: Course wrap-up
00:44

This video gives an overview of what was taught in this course.

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Instructor Biography

I am Mathematics Subject Matter Expert.

I am a certified (post graduate trained) mathematics instructor (private tutor) with over 24 years of teaching experience to middle school, high school, senior secondary level and intermediate level covering various school boards including CBSE, ICSE, ISC, IGCSE, 2-year IB Diploma (International Baccalaureate) covering AL,SL and HL courses. I have so far made 200+ videos in various Math topics.

Worked for:

FIITJEE EDU SOFT Ltd. as

CHIEF CONTENT MODERATOR under the department of

SYSTEM DEVELOPMENT associated with the project

EDFORA (Education for All) in Gurgaon.

Key Responsibilities held: 1. Overall content direction ( in making educational videos).

2. Managing quality of content created by content contributors.

3. Refining checklist and checklist of content.

4. Leading the team of HODs and Domain Auditors.

5. Creating training collateral for content creators.

6. Establish QA/QC Benchmarks for Videos

7. Work closely with HODs to achieve domain wise targets and drive the process from Review to Publish

8 .Providing overall guidance/ direction to the content team for preparing content for different state boards.[ CBSE, ICSE, ISC, Andhra Pradesh Board, Madhya Pradesh Board, Maharashtra Board, Rajasthan Board, Uttar Pradesh Board]

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