Find the probability of rolling a number greater than five on a fair die.
We begin by recalling that the probability of an event is the chance or likelihood of that event occurring. This probability can be written as a fraction where the numerator is the number of successful outcomes and the denominator is the total number of outcomes.
We are asked to consider a fair die which is a cube with the numbers one to six on each of its faces. And we want to find the probability that the number rolled is greater than five. The only number that satisfies this is six. This means that the probability of rolling a number greater than five on a fair dice is one out of six or one-sixth. This is because there is one successful outcome, which is rolling a six, and there are a total of six possible outcomes.