To solve this problem, let’s break down the information:

• Three dice of different colors are rolled.
• Each die can show any number from 1 to 6.

Since the dice are distinguishable by color, each die represents an independent event with 6 possible outcomes. Therefore, to find the total number of different outcomes, we calculate:

$6 \times 6 \times 6 = 6^3 = 216$

Thus, there are 216 different possible outcomes when rolling three different colored dice.

Would you like a detailed explanation of probability calculations, or do you have any further questions?

Here are some related questions to explore:

1. What if all dice were the same color? How would that affect the number of outcomes?
2. How many outcomes would there be if only two different colored dice were rolled?
3. What is the probability of rolling a specific combination, like (2, 3, 5)?
4. How would the answer change if each die had a different number of sides?
5. What if the goal was to get the same number on all three dice? How many outcomes would that allow?

Tip: When calculating outcomes for distinguishable events, multiply the number of possibilities for each separate event.