Learning Resources

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Outcomes

In this lesson you will

  • investigate the Fundamental Counting Principle
  • apply the Fundamental Counting Principle to calculating the probability of an event

By the end of this section students will be able to:

  • demonstrate an understanding of the Fundamental Counting Principle and apply it to calculate probabilities of dependent and independent events
  • determine conditional probability
  • apply area diagrams and tree diagrams to interpret and determine probabilities of dependent and independent events

Introduction

Mathematical Modeling, Book 3    p.307 - 326

In this unit you will study the Fundamental Counting Principle and apply it to probability. You will learn to distinguish between dependent and independent events and how to calculate their probabilities.

You will learn how the words "AND" and "OR" are used in probability and their relation to the addition principle.

You will learn how to model experimental probability using area diagrams. You will learn how to use tree diagrams to help calculate conditional probability.

This section should take you about 6.5 hours to complete.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • tree diagrams
  • calculate the probability of an event