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

To find the probability of rolling a 3 on a standard six-sided die, we start by identifying the total number of possible outcomes when rolling the die. There are six faces on a standard die, each with a different number from 1 to 6.

The probability of an event happening is determined by the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, there is only one face that shows a 3, which gives us one favorable outcome. Therefore, the probability can be calculated as follows:

[

\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{6}

]

This calculation confirms that the correct answer is indeed 1/6, as there is one specific outcome (rolling a 3) out of the six equally likely outcomes when rolling a die. The other answers represent probabilities that do not correspond to the situation with a six-sided die; hence they are not correct probabilities for this event.