What is the probability of rolling a six on a fair six-sided die?
To determine the probability of rolling a six on a fair six-sided die, we need to consider the total number of possible outcomes and the number of desired outcomes.
In this case, the die has six sides, numbered 1 through 6. Each side has an equal chance of being rolled since the die is fair.
The total number of possible outcomes is, therefore, 6 (since there are six sides on the die).
The number of desired outcomes is 1 (since we are interested in rolling a six).
To find the probability, we divide the number of desired outcomes by the total number of possible outcomes:
Probability of rolling a six = Number of desired outcomes / Total number of possible outcomes
= 1 / 6
Thus, the probability of rolling a six on a fair six-sided die is 1/6, or approximately 0.1667 (rounded to four decimal places).