When you roll **1 dice**, there are **6 **possible numbers the dice could land on: 1, 2, 3, 4 5, or 6.

When you roll **2 dice**, there are 6 * 6 = **36** possible combinations of numbers the dice could land on.

When you roll **3 dice**, there are 6 * 6 * 6 = **216 **possible combinations of numbers the dice could land on.

For example:

- The first dice may land on
**1**,the second may land on**1**and the third may land on**1**. - The first dice may land on
**1**,the second may land on**1**and the third may land on**2**. - The first dice may land on
**1**,the second may land on**1**and the third may land on**3**. - . . .

And so on.

It turns out that there is only 1 way for the sum of the dice to be **3**:

- First Dice = 1, Second Dice = 1, Third Dice = 1

However, there are 3 ways for the sum of the dice to be **4**:

- First Dice = 1, Second Dice = 1, Third Dice = 2
- First Dice = 1, Second Dice = 2, Third Dice = 1
- First Dice = 2, Second Dice = 1, Third Dice = 1

And there are 6 ways for the sum of the dice to be **5**:

- First Dice = 1, Second Dice = 1, Third Dice = 3
- First Dice = 1, Second Dice = 2, Third Dice = 2
- First Dice = 1, Second Dice = 3, Third Dice = 1
- First Dice = 2, Second Dice = 1, Third Dice = 2
- First Dice = 2, Second Dice = 2, Third Dice = 1
- First Dice = 3, Second Dice = 1, Third Dice = 1

We can create the following chart to visualize the probability that the sum of the three dice is equal to a particular number:

We can see that the probability distribution is symmetrical.

The most likely sum of the three dice is **10** or **11** while the least likely sum of the three dice is **3** or **18**.

**Additional Resources**

The following tutorials explain other common topics in probability:

How to Find Probability of At Least One Head in Coin Flips

How to Find Probability of Rolling Doubles with Dice

How to Find the Probability of Neither A Nor B

How to Find the Probability of A or B