Counting and Probability Principles | Free Online Course

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Module 1: The Fundamental Counting and Probability Principles

Module 1: Permutations and the Fundamental Counting Principle

Permutations and the Fundamental Counting Principle: Learning Outcomes

Permutations - Vocabulary and Notations

Evaluating Permutations

Permutations without Repetitions

Permutations with Repetitions

Module 2: Combinations

Combinations: Learning Outcomes

Combinations - Vocabulary and Notations

Evaluating Combinations

Module 3: Probability - An Introduction

Probability - An Introduction: Learning Outcomes

An Introduction to Probability

Sample Spaces

Tree Diagrams

Venn Diagrams

Module 4: Types of Probability

Types of Probability: Learning Outcomes

An Introduction to Types of Probability

Empirical Probability

Theoretical Probability

Module 5: Evaluating Probabilities

Evaluating Probabilities: Learning Outcomes

Evaluating Probabilities

Certainties and Impossibilities

Simple Probabilities

Module 6: The Probability of Mutually Exclusive or Inclusive Events

The Probability of Mutually Exclusive or Inclusive Events: Learning Outcomes

The Probability of Mutually Exclusive Events

The Probability of Mutually Inclusive Events

Module 7: The Fundamental Counting and Probability Principles

The Fundamental Counting and Probability Principles: Learning Outcomes

The Counting Principle

The Probability Principle

Module 8: The Probability of Independent and Dependent Events

The Probability of Independent and Dependent Events: Learning Outcomes

The Probability of Independent Events

The Probability of Dependent Events

Module 9: Bernoulli Experiments

Bernoulli Experiments: Learning Outcomes

An Introduction to Bernoulli Experiments

Exactly 'x' Successes in 'n' Trials

At least 'x' or At most 'x' Successes in 'n' Trials

Module 10: The Binomial Theorem and Pascal's Triangle

The Binomial Theorem and Pascal's Triangle: Learning Outcomes

The Binomial Theorem

Binomial Expansion and Pattern of the Variables

Pascal’s Triangle

Binomial Expansion with Coefficients

Finding the 'rth' Term of a Binomial Expansion

Module 11: Conditional Probabilities

Conditional Probabilities: Learning Outcomes

Conditional Probability

Conditional Probability Examples

Module 12: Summary of Major Course Formulas and Ideas

Summary of Major Course Formulas and Ideas

Course assessment

Probability and Combinatorics - Final Graded Assessment

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