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Chapter 7: Probability

CHAPTER 7

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Probability

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You should study the topics in this chapter if you need to review

or want to learn about

Relative frequency probability

The Law of Large Numbers

The Addition Rule in probability

Conditional probability

The Multiplication Rule in probability

Independence in probability

7-1 Introduction

Probability statements seem to be everywhere around us. Examples of

probability statements are:

There is a 50-50 chance of me observing a head when a fair coin is

tossed once.

There is a 20% chance of it raining today.

The chance of a particular basketball player making a free throw is

49%.

Just what is meant by ‘chance” in the above statements? Chance is a

measure of uncertainty, and we call this measure probability. In this chapter,

we will study this concept of probability.

We will study the concept of probability by introducing the ideas of

randomness, uncertainty, random experiment, sample spaces and events.

We will discuss the three types of approaches to probability (classical,

relative frequency, and subjective). The Law of Large numbers will be

introduced to relate the concepts of classical and relative frequency