Q5. - Algebra 1

Question

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

Step-by-Step Solution

Answer

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

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, 

$\text{Total outcomes }=6$

Step 3. Determine the probability.

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

$$\begin{gathered} \text{probability}=\frac{\text{number of sides of 5}}{\text{total outcomes}} \\ =\frac{1}{6} \end{gathered}$$ 

 

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