Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes.

## How many ways can 3 dice fall?

We can list all possible outcomes for the three dice and add a fourth column that contains a 0 if the event is not in A and contains a 1 if the event is in A. By simple counting, we find that there are 15 outcomes in event A, out of the total of **216 possible outcomes**.

## What is the probability of rolling a pair with 3 dice?

**Probability** of all **three dice** the same = 1×1/6×1/6=1/36. **Probability** of no **dice** the same = 1×5/6×4/6=20/36. **Probability** of a **pair** = 1−1/36−20/36=15/36.

## How many combinations can 2 dice make?

How many total combinations are possible from rolling two dice? Since each die has 6 values, there are 6∗6=**36** 6 ∗ 6 = 36 total combinations we could get. If you add up the numbers in the total column above, you’ll get 36.

## What is the probability of rolling a 7 or 11 with two dice?

What about 7 OR 11? There are 6 x 6 or 36 options, all are equally likely, 7 occurs 6 times, so the chances are 6/36 or 1/6. 11 occurs 2 times so chances are **2/36 or 1/18**. 7 or 11 are 8 of the 36 options so 8/36 or 2/9.