Question

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

$P\left(\text{odd}\text{number}\right)$

Short answer

The probability of getting odd number is 50%.

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.

$\begin{array}{l}\text{favourable\hspace{0.33em}outcomes}=\left\{1,3,5,7,9\right\}\\ =5\end{array}$

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

$\begin{array}{c}\text{P}\left(\text{of\hspace{0.17em}gettingoddnumber}\right)=\frac{\text{favorable\hspace{0.17em}\hspace{0.33em}outcome}}{\text{total\hspace{0.17em}\hspace{0.33em}outcome}}\\ \text{P}\left(\text{of\hspace{0.17em}gettingoddnumber}\right)=\frac{5}{10}\\ =\frac{1}{2}\end{array}$

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.

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

Step 5. Conclusion.

The probability of getting odd number is 50%.