Question

Kevin rolled two number cubes each numbered 1 to 6.



What is the probability that both number cubes land on 3?

Answer options with 4 options
A.
StartFraction 1 over 36 EndFraction

B.
StartFraction 1 over 6 EndFraction

C.
StartFraction 1 over 3 EndFraction

D.
StartFraction 1 over 2 EndFraction

Answer 1

To determine the probability that both number cubes (each numbered from 1 to 6) land on 3, we can follow these steps:

1. **Calculate the total possible outcomes when rolling two dice**:
Each die has 6 faces, so when rolling two dice, the total number of possible outcomes is:
\[
6 \times 6 = 36
\]

2. **Determine the favorable outcomes**:
The favorable outcome for our event (rolling a 3 on both dice) is just one specific outcome: (3, 3). Thus, there is only 1 favorable outcome.

3. **Calculate the probability**:
The probability \( P \) of both cubes landing on 3 is given by the ratio of favorable outcomes to total outcomes:
\[
P(\text{both cubes land on 3}) = \frac{\text{Number of favorable outcomes}}{\text{Total possible outcomes}} = \frac{1}{36}
\]

Thus, the probability that both number cubes land on 3 is:

**A. \( \frac{1}{36} \)**.