Question

a six - sided number cube is labeled with the numbers 1 - 6, one number on each face. each number is used exactly once. how many possible outcomes exist when the cube is rolled two times? 6 8 12 36

Explanation:

Step1: Analyze first - roll outcomes

The first roll of the cube has 6 possible outcomes (the numbers 1 - 6).

Step2: Analyze second - roll outcomes

For each outcome of the first roll, the second roll also has 6 possible outcomes.

Step3: Calculate total outcomes

By the multiplication principle, the total number of possible outcomes when rolling the cube two times is \(6\times6 = 36\).

Answer:

36