Probability for Beginners : Building a Foundation (Part 2)

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Build up your confidence to state and establish the addition theorems on probability and use them in solving problems.

36 students enrolled

What Will I Learn?

- You will be confident to state and establish the addition theorems on probability.
- You will be able to prove 5 basic laws of probability .
- State and prove the addition theorem on probability for two and three events..
- Generalize the addition theorem of probability for mutually exclusive events.
- Extend the addition theorem of probability for mutually exclusive and exhaustive events.
- You will gain knowledge about some results on probability of occurrence of a complementary event.
- Will be able to define odds in favor and odds against an event and hence derive a formula for the same.
- Will be able to encounter problems based on addition theorems.

Requirements

- Knowledgeof basic algebra
- Definition of probability. Understanding of the terms experiment, random experiment, trial, outcomes, favourable outcomes, equally likely outcomes and sample space.
- Knowledge of the sample spaces for a deck of playing cards, throwing of a coin (or coins) and throwing a die (or dice).
- Knowledge of the terms event, occurrence of an event, sure event, impossible event, elementary event and compound event.
- Understanding of the events .... mutually exclusive, mutually exhaustive , mutually exclusive and exhaustive.
- Basic set theory concepts, able to understand Venn diagrams, understanding of Union and Intersection of sets, difference of sets, complement of a set.
- Knowledge of combinations or selections.

Description

This course is for beginners who want to learn the fundamentals of probability.

The course begins with some basic laws of probability, and moves on to introduce the addition laws or theorems on probability.

These videos are designed to give a clear understanding of the proofs for addition laws or theorems on probability. Building on probability concepts that begin in the middle grades, *students of K-11 and K-12 grades *use the language of set theory to expand their ability to extend the concept of addition theorems to problem solving.

The lectures also cover some results on probability of occurrence of a complementary event.

Also a brief discussion on odds of an event followed by a theorem on the same is covered in two of the videos. Appropriate examples are also discussed.

These videos ** will remove the doubts** and

The videos *can be completed in an hour.*

** Five interactive quizzes** are added to the course. The quizzes are of two types.

Type one is ** multiple choice** quiz where only one of the answers provided is correct. and

Type two is * true or false* quiz. The problems in these quizzes should give you an idea about the type of problems that you can encounter in your exams.

All questions are not direct. The solutions to some of them can be obtained by using more than one law or theorem.

There is ** no time limit **for the quiz. You can take the quiz at your own pace. However, it is advisable that a time limit be set in order to judge your speed of completing the quiz. This will help you in the preparation for actual examination. There is a

Get started and ** gain confidence** to state and establish the addition theorems on probability and use them in solving problems by enrolling into this course!

*Good Luck!*

Who is the target audience?

- These lectures will be helpful to K-11 and K-12 grade students who want a better understanding of the topic "Addition theorems on probability ".
- 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!
- Anybody who wants to brush up the topic "Addition theorems on probability ", for any competitive exam within a short span of time, this course is strongly recommended.
- You can as well use quiz at the end of the course to test your skills in the topic "Addition theorems on probability ", before any exam.

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