Question

a fair die is a cube with number 1 through 6 on the sides, represented as painted spots. if a fair die is rolled, what is the probability of number 6 landing face up?

Explanation:

Step1: Determine total outcomes

A fair die has 6 sides, so total possible outcomes when rolled is 6.

Step2: Determine favorable outcomes

We want the outcome of 6, so there is 1 favorable outcome.

Step3: Calculate probability

Probability is given by the formula $P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Substituting the values, we get $P = \frac{1}{6}$.

Answer:

$\frac{1}{6}$