You roll a fair dice twice. What is the probability that the sum of the two dice equals four
To find the probability that the sum of the two dice equals four, we need to determine the number of ways this sum can occur and then divide it by the total number of possible outcomes.
There are multiple ways to achieve a sum of four with two dice:
- Rolling a 1 on the first die and a 3 on the second die
- Rolling a 2 on the first die and a 2 on the second die
- Rolling a 3 on the first die and a 1 on the second die
So, there are three favorable outcomes.
The total number of possible outcomes when rolling two dice is 6 * 6 = 36 (since each die has 6 sides).
Therefore, the probability that the sum of the two dice equals four is 3/36, which simplifies to 1/12.