💾 Archived View for idiomdrottning.org › finer-granularity-d20 captured on 2020-11-07 at 01:12:21. Gemini links have been rewritten to link to archived content

View Raw

More Information

⬅️ Previous capture (2020-10-31)

➡️ Next capture (2024-07-09)

-=-=-=-=-=-=-

Finer than 5% granularity on a 20-sided die

As a byproduct of the previous project, but perhaps useful on its own, here is a table of all the specific percentages you can get if you add advantage and disadvantage to a d20 roll.

the previous project

┌────────────────┬─────────────────────────┐
│ Percent chance │     Die expression      │
╞════════════════╪═════════════════════════╡
│ 0.25%          │ 1/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 1%             │ 2/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 2.25%          │ 3/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 4%             │ 4/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 5%             │ 1/20                    │
├────────────────┼─────────────────────────┤
│ 6.25%          │ 5/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 9%             │ 6/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 9.75%          │ 1/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 10%            │ 2/20                    │
├────────────────┼─────────────────────────┤
│ 12.25%         │ 7/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 15%            │ 3/20                    │
├────────────────┼─────────────────────────┤
│ 16%            │ 8/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 19%            │ 2/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 20%            │ 4/20                    │
├────────────────┼─────────────────────────┤
│ 20.25%         │ 9/20 with advantage     │
├────────────────┼─────────────────────────┤
│ 25%            │ 5/20                    │
├────────────────┼─────────────────────────┤
│ 27.75%         │ 3/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 30%            │ 6/20                    │
├────────────────┼─────────────────────────┤
│ 30.25%         │ 11/20 with advantage    │
├────────────────┼─────────────────────────┤
│ 35%            │ 7/20                    │
├────────────────┼─────────────────────────┤
│ 36%            │ 4/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 40%            │ 8/20                    │
├────────────────┼─────────────────────────┤
│ 42.25%         │ 13/20 with advantage    │
├────────────────┼─────────────────────────┤
│ 43.75%         │ 5/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 45%            │ 9/20                    │
├────────────────┼─────────────────────────┤
│ 49%            │ 14/20 with advantage    │
├────────────────┼─────────────────────────┤
│ 50%            │ 10/20                   │
├────────────────┼─────────────────────────┤
│ 51%            │ 6/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 55%            │ 11/20                   │
├────────────────┼─────────────────────────┤
│ 56.25%         │ 15/20 with advantage    │
├────────────────┼─────────────────────────┤
│ 57.75%         │ 7/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 60%            │ 12/20                   │
├────────────────┼─────────────────────────┤
│ 64%            │ 8/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 65%            │ 13/20                   │
├────────────────┼─────────────────────────┤
│ 69.75%         │ 9/20 with disadvantage  │
├────────────────┼─────────────────────────┤
│ 70%            │ 14/20                   │
├────────────────┼─────────────────────────┤
│ 72.25%         │ 17/20 with advantage    │
├────────────────┼─────────────────────────┤
│ 75%            │ 15/20                   │
├────────────────┼─────────────────────────┤
│ 79.75%         │ 11/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 80%            │ 16/20                   │
├────────────────┼─────────────────────────┤
│ 81%            │ 18/20 with advantage    │
├────────────────┼─────────────────────────┤
│ 84%            │ 12/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 85%            │ 17/20                   │
├────────────────┼─────────────────────────┤
│ 87.75%         │ 13/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 90%            │ 18/20                   │
├────────────────┼─────────────────────────┤
│ 90.25%         │ 19/20 with advantage    │
├────────────────┼─────────────────────────┤
│ 91%            │ 14/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 93.75%         │ 15/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 95%            │ 19/20                   │
├────────────────┼─────────────────────────┤
│ 96%            │ 16/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 97.75%         │ 17/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 99%            │ 18/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 99.75%         │ 19/20 with disadvantage │
├────────────────┼─────────────────────────┤
│ 100%           │ 20/20                   │
└────────────────┴─────────────────────────┘

Not saying use this always (it's cumbersome af that the target number jumps up and down) but can sometimes (rarely, admittedly) be useful when you're looking to port over a specific probability from some other system and want to leverage their playtesting. (If you have reason to suspect that a particular rule is not well playtested, then of course you don't need to approximate their probability either. Just use what would make sense in your game instead.)