Randomness, Probability And Simulation.

Probability Laws - Mutually Exclusive And Independent Events, Complement Rule, Conditional Prob., Tree and Venn Diagram

What you'll learn

Interpret randomness as a chance process in a given sample and use it to answer questions involving probability.

Interpret probability behaviour as a short run and long run relative frequency.

Perform simulations for a given number of trials using random number generator and use you result of simulation to calculate the required probability.

Use the laws of probability(independent and mutually exclusive events) to find the probability of events, conditional using two way table,tree and venn diagram.

Requirements

Elementary knowledge of probability though it is also, included as a revision in this course.

Writing paper, pen, pencil and graph paper

Laptop or smart phone or personal computer connected to internet service.

Description

This course extensively treated all areas of probability and is up to 8 hours of course work.. These include but not limited to modeling chance probability for sequence of outcomes that is use to solve for probability of events, room was created to enable student understand some important terminologies that exist in probability, randomness and simulation, Interpreting chance behaviour as in the case of randomness and performing simulation on a given trials of sample with explicit examples, the lecture gives insight on how to find probability of event by applying laws of probability for mutually exclusive events and independent events, general independent rule and using complement rule to simplify the task that is involve in solving time consuming probability problems, interpret and analyze conditional probability of events and other related class of events using two way table, venn diagram and tree diagram. In the case of venn diagram, set notations are used to connect probability terms with set to maximize the application of probability on other branches of mathematics. There are  multi-choice questions used in the lectures to buttress the ideal of the concept of probability and for the understanding of the course and to ensure that the expectation/goal of our students are met with 100% delivery.

Overview

Section 1: Introduction

Lecture 1 Randomness, Probability And Simulation.

Section 2: Probability Rules.

Lecture 2 Probability rules including the use of two way table and venn diagram.

Lecture 3 Probability rules section 2 for venn diagram.

Section 3: Conditional Probability And Independence.

Lecture 4 Conditional Probability, Independence And Tree Diagram.

Section 4: Finding The Probability Of An Events, Mutually Exclusive And Independent Events

Lecture 5 General Revision On Probability For Mutually Exclusive And Independent Events.

Section 5: General Revison On Complement Rule Of Probability.

Lecture 6 General Revision Class For Complement Rule Of Probability.

This course will be beneficial to all level of study from fifth grade to university students. Researchers will also, find this course useful in their area of research purposes. Those who want to improve from their limits in probability, those who want to start from scratch to grab the basic and intermedate level, and those who are preparing for examination will find this course indispensable asset