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Compare → Strike 1d3+4 @ hit 75 crit 50

1d3+4 @ hit 75 crit 50

Damage distribution for 1d3+4 @ hit 75 crit 50. Edit the expression or drag the HP slider — the URL updates as you go, so the page is always shareable. expression syntax →

Strike

Hit chance is 75% (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 5.25 21/4
P(finish at 5 HP) = 75.00% (3/4)
  • 0 25.00%
  • 1 0.00%
  • 2 0.00%
  • 3 0.00%
  • 4 0.00%
  • 5 12.50%
  • 6 16.67%
  • 7 20.83%
  • 8 12.50%
  • 9 8.33%
  • 10 4.17%
Strikes to kill 5 HP expected: 1.33
  • ≤ 1 75.00%
  • ≤ 2 93.75%
  • ≤ 3 98.44%
  • ≤ 4 99.61%

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Why some expressions kill faster than others with the same mean is the kind of thing the concepts pillars work out — start with variance and kill probability if this strike's distribution looks surprising.