I’ve been wondering about mathematically proving the probability of “unfair dice”. By unfair dice I am referring to 3d objects that don’t have identical sides.
So it might be pretty intuitive that the probability to get a certain side from a cube is 1/6 as everything is uniform.
But what if it isn’t uniform? Like the conventional “soccer ball”? It retains a spherical form with 2d geometry, but without using identical shapes. Is there a mathematical way of calculating the probability of getting a hexagon?