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