Usually, if a die lands on edge we say it was a spoiled throw and do it over. Similarly if a Dark Lord writes 37 on the face that lands on top, we complain that the Dark Lord is spoiling our game and we don’t count it.
We count 6 possibilities for a 6-sided die, 5 possibilities for a 5-sided die, 2 possibilities for a 2-sided die, and if you have a die with just one face—a spherical die—what’s the chance that face will come up?
I think it would be interesting to develop probability theory with no boundaries, with no 0 and 1. It works fine to do it the way it’s done now, and the alternative might turn up something interesting too.
Usually, if a die lands on edge we say it was a spoiled throw and do it over. Similarly if a Dark Lord writes 37 on the face that lands on top, we complain that the Dark Lord is spoiling our game and we don’t count it.
We count 6 possibilities for a 6-sided die, 5 possibilities for a 5-sided die, 2 possibilities for a 2-sided die, and if you have a die with just one face—a spherical die—what’s the chance that face will come up?
I think it would be interesting to develop probability theory with no boundaries, with no 0 and 1. It works fine to do it the way it’s done now, and the alternative might turn up something interesting too.