Question

Jim rolls a die with 6 sides. What is the probability of rolling a 5?

Short answer

The probability of rolling a 5 is $\frac{1}{6}$.

Step-by-step solution

Step 1. Define the concept.

The probability of an event is the ratio of the number of favorable outcomes for the event to the total number of possible outcomes.

Step 2. Define the sample space. 

Sample space is defined as all possible outcomes. Here, a die is rolled with 6 sides and any number from 1 to 6 can appear, therefore,

$\text{Totaloutcomes}=6$

Step 3. Determine the probability.

Tofind the probability of rolling a 5, divide the number of sides of die with number 5, which is 1, with total outcomes.

$$\begin{gathered} \text{probability}=\frac{\text{numberofsidesof5}}{\text{totaloutcomes}} \\ =\frac{1}{6} \end{gathered}$$

Therefore, probability of rolling a 5 is $\frac{1}{6}$.