Question

A computer randomly generates an integer from 1 to 10. Find the probability of the given event. Write your answer as a percent.

$P\left(5\right)$

Short answer

The probability of getting 5 is 10%.

Step-by-step solution

Step 1. Given Information.

A computer generates an integer from 1 to 10.

Step 2. Formula used.

Probability:

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

Step 3. Find the probability of getting 5.

To calculate the probability of getting 5, there are 10 possible outcomes, and 1 outcome is favorable.

$\begin{array}{c}\text{P}\left(\text{of\hspace{0.17em}getting5}\right)=\frac{\text{favorable\hspace{0.17em}\hspace{0.33em}outcome}}{\text{total\hspace{0.17em}\hspace{0.33em}outcome}}\\ \text{P}\left(\text{of\hspace{0.17em}getting5}\right)=\frac{1}{10}\end{array}$

Therefore, the probability of getting 5 is $\frac{1}{10}$.

Step 4. Convert the obtained fraction form into percent.

Multiply $\frac{1}{10}$ by 100% to convert the fraction form in percent.

$\begin{array}{c}\text{P}\left(\text{of\hspace{0.17em}getting5}\right)=\frac{1}{10}\times 100\%\\ \text{P}\left(\text{of\hspace{0.17em}getting5}\right)=10\%\end{array}$

Step 5. Conclusion.

The probability of getting 5 is 10%.