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Created page with '== 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 mo…'
== 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 (3.5e Variant Rule)|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.
{| class="zebra d20"
|-
! 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===
{| class="zebra d20"
|-
! Level !! Expected Attack Roll !! High ability score !! Medium ability score !! Low ability score
|-
| 1 || +4 || +6 || +2 || +0
|}
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 (3.5e Variant Rule)|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.
{| class="zebra d20"
|-
! 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===
{| class="zebra d20"
|-
! Level !! Expected Attack Roll !! High ability score !! Medium ability score !! Low ability score
|-
| 1 || +4 || +6 || +2 || +0
|}
