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Expert-verified Found in: Page 348 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # A computer randomly generates an integer from 1 to 10. Find the probability of the given event. Write your answer as a percent.$P\left(\text{odd}\text{number}\right)$

The probability of getting odd number is 50%.

See the step by step solution

## Step 1. Given Information.

A computer generates an integer from 1 to 10.

## Step 2. Formula used.

Probability:

$\text{P}=\frac{\text{favorable} \text{outcomes}}{\text{total} \text{outcomes}}$

## Step 3. Find the probability of getting odd number.

To calculate the probability of getting odd number, there are 10 total outcomes. It is needed to calculate favourable outcomes.

$\begin{array}{l}\text{favourable outcomes}=\left\{1,3,5,7,9\right\}\\ =5\end{array}$

Therefore, the probability of getting odd number is obtained as,

$\begin{array}{c}\text{P}\left(\text{of\hspace{0.17em}getting odd number}\right)=\frac{\text{favorable\hspace{0.17em} outcome}}{\text{total\hspace{0.17em} outcome}}\\ \text{P}\left(\text{of\hspace{0.17em}getting odd number}\right)=\frac{5}{10}\\ =\frac{1}{2}\end{array}$

Therefore, the probability of getting odd number is $\frac{1}{2}$.

## Step 4. Convert the obtained fraction form into percent.

Multiply $\frac{1}{2}$ by 100% to convert the fraction form in percent.

$\begin{array}{c}\text{P}\left(\text{of\hspace{0.17em}getting odd number}\right)=\frac{1}{2}×100%\\ \text{P}\left(\text{of\hspace{0.17em}getting odd number}\right)=50%\end{array}$

## Step 5. Conclusion.

The probability of getting odd number is 50%. ### Want to see more solutions like these? 