## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 10 - Section 10.7 - Probability - Exercise Set - Page 1118: 16

#### Answer

The required solution of probability is, $0$

#### Work Step by Step

We know that when the die is rolled then the sample space of equally likely outcomes given below is $S=\left\{ 1,2,3,4,5,6 \right\}$ As there are six outcomes in the sample space, thus, $n\left( S \right)=6$ Also, the event of getting a number greater than 7 can be represented as $E=\phi$ Since there is only one outcome in this event, therefore, $n\left( E \right)=0$ Thus, the probability of obtaining a number greater than 4 is: \begin{align} & P\left( E \right)=\frac{n\left( E \right)}{n\left( S \right)} \\ & =\frac{0}{6} \\ & =0 \end{align}

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