What is the probability of rolling a 3 on a standard six-sided die?

To determine the probability of rolling a 3 on a standard six-sided die, it's important to understand the basic principles of probability. A standard six-sided die has six faces, each showing one of the numbers from 1 to 6. When you roll the die, each face has an equal chance of landing face up.

The specific event we are interested in is rolling a 3. Since there is only one face of the die that shows the number 3, this event can be described as having one favorable outcome.

To calculate the probability, you take the number of favorable outcomes (in this case, rolling a 3, which is 1) and divide it by the total number of possible outcomes (which is 6, as there are six faces on the die). Therefore, the probability can be calculated as:

Probability of rolling a 3 = Number of favorable outcomes / Total number of outcomes
= 1 / 6

This results in a probability of 1/6 for rolling a 3, which aligns with the answer provided. Understanding this calculation reinforces the concept of equal likelihood for each outcome when rolling a fair die.