Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 11 - Counting Methods and Probability Theory - 11.4 Fundamentals of Probability - Concept and Vocabulary Check - Page 715: 7



Work Step by Step

Theoretical probability applies to experiments in which the set of all equally likely outcomes, called the sample space, is known. An event is any subset of the sample space. The theoretical probability of event $E$ with sample space $S$ is $P(E)=\displaystyle \frac{number\ of\ outcomes\ in\ E}{total\ number\ of\ possib1e\ outcomes}=\frac{n(E)}{n(S)}$ If there are n outcomes, each has probability $\displaystyle \frac{1}{n}$, and the sum of the probabilities of all the outcomes equals $n\displaystyle \cdot\frac{1}{n}=1.$ The statement is true.
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