D&D Advantage Math

Exact chances to roll at least a value on a d20—normal, advantage, or disadvantage. For planning checks, not every table rule.

Math model: fair d20(s), advantage = max of two, disadvantage = min of two. Does not include Lucky, bless, guidance, or house rules—use as a baseline for “how hard is this DC on the die.”

Example: flat DC 15 ability check with +0 modifier → you need 15+ on the d20.

  • Normal d20: 30.0%
  • Advantage: 51.0%
  • Disadvantage: 9.0%

Full table — P(roll ≥ k) on the d20

Need ≥NormalAdvDis
1100.0%100.0%100.0%
295.0%99.8%90.3%
390.0%99.0%81.0%
485.0%97.8%72.2%
580.0%96.0%64.0%
675.0%93.8%56.3%
770.0%91.0%49.0%
865.0%87.8%42.3%
960.0%84.0%36.0%
1055.0%79.8%30.3%
1150.0%75.0%25.0%
1245.0%69.8%20.3%
1340.0%64.0%16.0%
1435.0%57.7%12.2%
1530.0%51.0%9.0%
1625.0%43.8%6.3%
1720.0%36.0%4.0%
1815.0%27.8%2.3%
1910.0%19.0%1.0%
205.0%9.8%0.3%

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