The sum of two opposite faces of a Dice is always 7.


A standard six-sided dice, also known as a "fair" dice, has numbers 1 to 6 on its faces. The opposite faces of a dice always have a sum of 7. Let's understand why this is the case.


A dice is a three-dimensional object with six faces. When we roll a dice, only one face is visible at a time. The opposite faces of a dice are the ones that are not adjacent to each other, but are on the opposite sides of the dice.


For example, consider a dice with the number 1 on the top face. The opposite face of 1 will be the bottom face, which will have the number 6. Similarly, the opposite faces can be determined for the other numbers as well.


Let's analyze the sum of the opposite faces of a dice:

- Top Face + Bottom Face = 1 + 6 = 7
- Front Face + Back Face = 2 + 5 = 7
- Left Face + Right Face = 3 + 4 = 7

No matter which pair of opposite faces we consider, the sum will always be 7. This is because the numbers on the faces of a standard dice are arranged in a specific pattern, where each pair of opposite faces adds up to 7.


In conclusion, the sum of two opposite faces of a dice is always 7. This is a fundamental property of a standard six-sided dice, and it holds true for any position or orientation of the dice.