Compare1d3+7 @ hit 35 crit 15 vs 1d3+4 @ hit 95 crit 25

1d3+7 @ hit 35 crit 15 vs 1d3+4 @ hit 95 crit 25

Side-by-side distributions with exact probabilities. Edit either expression or drag the HP slider — the URL updates as you go, so the page stays shareable. expression syntax →

Strike A

Hit chance is 35% (a single roll against a flat probability — the XCOM / Hard West / tactical-game model, distinct from the d20-versus-AC math elsewhere on this site). Compared against AC 0: any roll except a natural 1 hits (a nat 1 always misses, regardless of bonus). A natural 20 always crits, regardless of AC. On a hit, deal 1 3-sided die, plus 7. On a crit, double the damage dice (the 1d3+7 becomes 2d3+7); flat modifiers stay the same.

min 0 max 13 mean 3.25 651/200 ±4.49
P(finish at 5 HP) = 35.00% (7/20)
  • 0 65.00%
  • 1 0.00%
  • 2 0.00%
  • 3 0.00%
  • 4 0.00%
  • 5 0.00%
  • 6 0.00%
  • 7 0.00%
  • 8 9.92%
  • 9 10.50%
  • 10 11.08%
  • 11 1.75%
  • 12 1.17%
  • 13 0.58%
Strike B

Hit chance is 95% (a single roll against a flat probability — the XCOM / Hard West / tactical-game model, distinct from the d20-versus-AC math elsewhere on this site). Compared against AC 0: any roll except a natural 1 hits (a nat 1 always misses, regardless of bonus). A natural 20 always crits, regardless of AC. On a hit, deal 1 3-sided die, plus 4. On a crit, double the damage dice (the 1d3+4 becomes 2d3+4); flat modifiers stay the same.

min 0 max 10 mean 6.17 247/40 ±1.87
P(finish at 5 HP) = 95.00% (19/20)
  • 0 5.00%
  • 1 0.00%
  • 2 0.00%
  • 3 0.00%
  • 4 0.00%
  • 5 23.75%
  • 6 26.39%
  • 7 29.03%
  • 8 7.92%
  • 9 5.28%
  • 10 2.64%
  • 11 0.00%
  • 12 0.00%
  • 13 0.00%
Strikes to kill 5 HP expected: 2.86
  • ≤ 1 35.00%
  • ≤ 2 57.75%
  • ≤ 3 72.54%
  • ≤ 4 82.15%
  • ≤ 5 88.40%
  • ≤ 6 92.46%
  • ≤ 7 95.10%
  • ≤ 8 96.81%
  • ≤ 9 97.93%
  • ≤ 10 98.65%
  • ≤ 11 99.12%
  • ≤ 12 99.43%
  • ≤ 13 99.63%

Truncated at 50 strikes — expected is a lower bound.

Strikes to kill 5 HP expected: 1.05
  • ≤ 1 95.00%
  • ≤ 2 99.75%