Question

One of the polygons below is chosen at random. Find each probability.

P (pentagon)

Short answer

The probability of getting a pentagon is $\frac{1}{6}$.

Step-by-step solution

Step 1. Apply the basic formula for probability.

The probability of an event is given by the following formula:

$\mathrm{Probability}\mathrm{of}\mathrm{an}\mathrm{event}=\frac{\mathrm{number}\mathrm{of}\mathrm{favorite}\mathrm{out}\mathrm{come}}{\mathrm{totaloutcome}}$

Step 2. Write the given information.

The total number of figures is 6.

The number of favorite outcomes is 1 since there is only one pentagon among the given figures.

Step 3. DESCRIPTION OF STEP.

Substitute the value of the number of favorite outcomes and total outcomes in the formula for probability.

$$\begin{gathered} P\left(\mathrm{Pentagon}\right)=\frac{\mathrm{number}\mathrm{of}\mathrm{favorite}\mathrm{out}\mathrm{come}}{\mathrm{total}\mathrm{out}\mathrm{come}} \\ =\frac{1}{6} \end{gathered}$$

Hence, the probability of getting a pentagon is $\frac{1}{6}$.