If you roll a standard six-sided die, what is the probability of rolling a 3?

• A. 1/2
• B. 1/6
• C. 1/3
• D. 1/4

Answer: (B)

The probability of rolling a specific number on a six-sided die can be determined by considering the total number of outcomes and the number of favorable outcomes. A standard six-sided die has six faces, each representing a different number from 1 to 6.

When you roll the die, there is only one face that shows the number 3. Thus, there is one favorable outcome. Since there are a total of six possible outcomes (the numbers 1 through 6), the probability of rolling a 3 is calculated as the number of favorable outcomes divided by the total number of outcomes. This results in a probability of 1 (the favorable outcome) divided by 6 (the total outcomes):

1/6.

This understanding applies widely to similar scenarios involving probability with fair dice or other random events, reinforcing the idea of calculating probability based on outcomes.