Chapter 15.1, Problem 46E

To determine

To find:

The probability of $7$ never coming up in five spins of the wheel.

Answer to Problem 46E

  $\frac{59049}{100000}$

Explanation of Solution

Given:

The wheels has the number $1\text{to}10$ .

Concept used:

The probability of an event is a number between $0$ and $1$ .

Where $0$ is impossibility of the event

And $1$ is certainty.

Calculation:

The wheels has the number $1\text{to}10$

The probability to get a specific number is

  $P=\frac{1}{10}$

So,

  $P$ (not getting a $7$ )

  $\begin{array}{l}=1-\frac{1}{10}\\ =\frac{9}{10}\end{array}$

Five spins means that the event $5$ times

  $P$ (not getting a $7$ )

  $\begin{array}{l}={\left(\frac{9}{10}\right)}^5\\ =\frac{59049}{100000}\end{array}$