User:Aarnott/Lego Bin 12
From Dungeons and Dragons Wiki
RNG Calculations
I'm trying to figure out a basic set of values for monsters that keeps standard PCs (ones that don't get a bunch of bullshit bonuses) challenged by the monsters. This is my attempt.
Assumptions:
- Ghostwheel's Balanced Wealth is in effect.
- The expected ability score for an attack/defense statistic is 16 (+3)
- A high ability score (with a racial bonus) will have an extra +2 modifier (an extra 10% on the RNG)
- A medium ability score will have a modifier 2 lower (10% more likely to fail on the RNG)
- A low ability score will have a modifier 4 lower (20% more likely to fail on the RNG)
- Regular attack rolls are made with a full BAB
- Touch attacks are made with a 3/4 BAB
Statistics
- Your expected ability score, and high ability score will be chosen to be increased every 2 levels.
- Your medium ability score will also be increased every 2 levels.
- Your low ability score is a dump stat.
| Level | Expected Ability Score | High ability score | Medium ability score | Low ability score | Expected Variance | Max Variance |
|---|---|---|---|---|---|---|
| 1 | 16 (+3) | 20 (+5) | 12 (+1) | 8 (-1) | 4 | 6 |
| 2 | 17 (+3) | 21 (+5) | 13 (+1) | 8 (-1) | 4 | 6 |
| 3 | 18 (+4) | 22 (+6) | 14 (+2) | 9 (-1) | 5 | 7 |
| 4 | 19 (+4) | 23 (+6) | 15 (+2) | 9 (-1) | 5 | 7 |
| 5 | 19 (+4) | 23 (+6) | 15 (+2) | 9 (-1) | 5 | 7 |
| 6 | 21 (+5) | 25 (+7) | 17 (+3) | 10 (+0) | 5 | 7 |
| 7 | 21 (+5) | 25 (+7) | 17 (+3) | 10 (+0) | 5 | 7 |
| 8 | 22 (+6) | 26 (+8) | 18 (+4) | 10 (+0) | 6 | 8 |
| 9 | 23 (+6) | 27 (+8) | 19 (+4) | 11 (+0) | 6 | 8 |
| 10 | 24 (+7) | 28 (+9) | 20 (+5) | 11 (+0) | 7 | 9 |
| 11 | 24 (+7) | 28 (+9) | 20 (+5) | 11 (+0) | 7 | 9 |
| 12 | 26 (+8) | 30 (+10) | 22 (+6) | 12 (+1) | 7 | 9 |
| 13 | 26 (+8) | 30 (+10) | 22 (+6) | 12 (+1) | 7 | 9 |
| 14 | 27 (+8) | 31 (+10) | 23 (+6) | 12 (+1) | 7 | 9 |
| 15 | 28 (+9) | 32 (+11) | 24 (+7) | 13 (+1) | 8 | 10 |
| 16 | 29 (+9) | 33 (+11) | 25 (+7) | 13 (+1) | 8 | 10 |
| 17 | 29 (+9) | 33 (+11) | 25 (+7) | 13 (+1) | 8 | 10 |
| 18 | 31 (+10) | 35 (+12) | 27 (+8) | 14 (+2) | 8 | 10 |
| 19 | 31 (+10) | 35 (+12) | 27 (+8) | 14 (+2) | 8 | 10 |
| 20 | 32 (+11) | 36 (+13) | 28 (+9) | 14 (+2) | 9 | 11 |
Thoughts: A dump stat will have about a 20-30% higher chance of failure for a 1st level character compared to their primary stat. For a 20th level character, this penalty becomes a 45-55% higher chance of failure. If the base chance of failure for something really challenging is 50%, then a character's dump stat falls to the bottom of the RNG at level 20, making any ability check with that ability score not even worth rolling.
Regular attacks
| Level | Expected Attack Roll | High ability score | Medium ability score | Low ability score |
|---|---|---|---|---|
| 1 | +4 | +6 | +2 | +0 |
