Diceplots

Compare → 3d20kh1 vs 2d20kh1

3d20kh1 vs 2d20kh1

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

Roll 3 20-sided dice, keep the highest.

min 1 max 20 mean 15.49 1239/80
P(finish at 15 HP) = 65.70% (657/1000)
  • 1 0.01%
  • 2 0.09%
  • 3 0.24%
  • 4 0.46%
  • 5 0.76%
  • 6 1.14%
  • 7 1.59%
  • 8 2.11%
  • 9 2.71%
  • 10 3.39%
  • 11 4.14%
  • 12 4.96%
  • 13 5.86%
  • 14 6.84%
  • 15 7.89%
  • 16 9.01%
  • 17 10.21%
  • 18 11.49%
  • 19 12.84%
  • 20 14.26%
Strike B

Roll 2 20-sided dice, keep the highest.

min 1 max 20 mean 13.82 553/40 ±4.71
P(finish at 15 HP) = 51.00% (51/100)
  • 1 0.25%
  • 2 0.75%
  • 3 1.25%
  • 4 1.75%
  • 5 2.25%
  • 6 2.75%
  • 7 3.25%
  • 8 3.75%
  • 9 4.25%
  • 10 4.75%
  • 11 5.25%
  • 12 5.75%
  • 13 6.25%
  • 14 6.75%
  • 15 7.25%
  • 16 7.75%
  • 17 8.25%
  • 18 8.75%
  • 19 9.25%
  • 20 9.75%

A finishes in 1.35 strikes vs B's 1.53 — A wins by 0.18 strikes.

Strikes to kill 15 HP expected: 1.35
  • ≤ 1 65.70%
  • ≤ 2 99.52%
Strikes to kill 15 HP expected: 1.53
  • ≤ 1 51.00%
  • ≤ 2 96.53%
  • ≤ 3 99.91%