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It seems unlikely that a tetrahedron based die would be fair. Since it is a four sided shape, with each face being a triangle, there would not be a large tendency to roll once it lands on a particular face, as the friction required to impart the necessary torque is not assured. (This is an opinion - if anyone has better information, please feel free to refine this answer.)
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What is a tetrahedron shaped dice?
A tetrahedral die (not dice!) is a triangle-based pyramid, whose four faces are equilateral triangles.
The dice are fair?
A fair die (fair dice) is a dice which isn't altered in any way, this means it has the same chance of landing on any of one of the faces. The opposite to this is a loaded dice or cheat dice. These dice have been altered in some way, maybe by changing the weight distribution so that one of the numbers on the die/dice are more likely to be rolled.
What is the probability of rolling a 4 with dice?
If its a fair dice 1/6
What is a fair dice?
A fair die is a die where the probability of throwing each of the faces is equal. Dice is two or more die's.
What is the probability of rolling a sum of 15 on two fair dice?
Zero is the probability of rolling a sum of 15 on two fair dice; the maximum value is 12.
