Question

An experiment consists of rolling two fair number cubes. The diagram shows the sample space of all equally likely outcomes. What is the probability of rolling two 2's? Express your answer as a fraction in simplest form.

Answer 1

Since there are 6 possible outcomes for each roll of the number cube, there are 6 x 6 = 36 possible outcomes when two number cubes are rolled.

Out of these 36 outcomes, there is only one outcome where both cubes show 2. Therefore, the probability of rolling two 2's is:

1/36

So the answer is 1/36.