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Here’s how you can play D&D with just that little six-sided dice that came in your monopoly box.

(I think I”ve got the approach with the fewest expected rerolls, there are still going to be some but it will do in a pinch (or you could just buy my dice app I guess…)) #Dice #DnD #ttrpg

Notes app screenshot with the text:
Use a d6 as a full polyset:

d4: (Exp. Rolls: 1.5)
Reroll on 5-6

d6: (Exp. Rolls: 1 exactly)
You already have it, dummy

d8: (Exp. Rolls: 2.5)
Roll for odd or even
Odd: roll again for the result (reroll on 5-6)
Even: roll again and add 4 (reroll on 5-6)

d10: (Exp. Rolls: 2.2)
Roll for odd or even
Odd: roll again for the result (reroll on 6)
Even: roll again and add 5 (reroll on 6)

d12: (Exp. Rolls: 2 exactly)
Roll for odd or even
Odd: roll again for result
Even: roll again and add 6

d20: (Exp. Rolls: 2.7)
Roll for the quarter (reroll on 5-6)
Quarter is 1: roll again for result (reroll on 6)
Quarter is 2: roll again (reroll on 6) and add 5
Quarter is 3: roll again (reroll on 6) and add 10
Quarter is 4: roll again (reroll on 6) and add 15 — Notes app screenshot with the text: Use a d6 as a full polyset: d4: (Exp. Rolls: 1.5) Reroll on 5-6 d6: (Exp. Rolls: 1 exactly) You already have it, dummy d8: (Exp. Rolls: 2.5) Roll for odd or even Odd: roll again for the result (reroll on 5-6) Even: roll again and add 4 (reroll on 5-6) d10: (Exp. Rolls: 2.2) Roll for odd or even Odd: roll again for the result (reroll on 6) Even: roll again and add 5 (reroll on 6) d12: (Exp. Rolls: 2 exactly) Roll for odd or even Odd: roll again for result Even: roll again and add 6 d20: (Exp. Rolls: 2.7) Roll for the quarter (reroll on 5-6) Quarter is 1: roll again for result (reroll on 6) Quarter is 2: roll again (reroll on 6) and add 5 Quarter is 3: roll again (reroll on 6) and add 10 Quarter is 4: roll again (reroll on 6) and add 15

Sophie 🎲🏳️‍⚧️

@Sophie@dice.camp replied · 9 months ago

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.

Sophie 🎲🏳️‍⚧️

@Sophie@dice.camp replied · 9 months ago

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

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