To be clear, I do not recommend doing this. It will slow the game down a bunch.
But, the math works, the results will be fair.
To be clear, I do not recommend doing this. It will slow the game down a bunch.
But, the math works, the results will be fair.
Okay so I thought of a way to reduce the expected roll to 1.333etc when trying to get a d4 result, but it’s not as straightforward to describe and complicates the process. OTOH it does also cap the rolls for that part to 2.
Basically:
If you roll 1-4, that’s the result, if not remember the result and roll again.
If the second roll isn’t 1-4, then compare first and second rolls:
5,5 = 1
5,6 = 2
6,5 = 3
6,6 = 4
@Sophie I love how clever that is!
Still, the thought that you need to roll a bigger die twice to get a smaller die's result disturbed me, so I kept thinking:
What if we use the results on the sides of the die, instead of just the one at the top? That way, on a 5 or 6 top result, you look at the side that's facing you (push the die back with a straight object to disambiguate, if needed). The possibilities would be:
* On a 6: 2, 3, 4, 5 - treat 5 as a 1
* On a 5: 1, 3, 4, 6 - treat 6 as a 2