Question

Two number cubes are rolled each number cube is labeled 1 to 6 what is the probability that both number cubes land in 1

Answer 1

To find the probability that both number cubes land on 1, we start by determining the total possible outcomes when rolling two six-sided number cubes.

Each number cube has 6 faces, so the total number of outcomes when rolling two cubes is:

\[
6 \times 6 = 36
\]

Next, we identify the number of favorable outcomes for the event where both cubes land on 1. There is only 1 way for this to happen:

- Cube 1 shows 1
- Cube 2 shows 1

Thus, there is 1 favorable outcome.

Now, we can calculate the probability of both cubes landing on 1 by dividing the number of favorable outcomes by the total number of outcomes:

\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} = \frac{1}{36}
\]

Therefore, the probability that both number cubes land on 1 is

\[
\frac{1}{36}
\]