Games

The 12 recurring 5e damage-math questions in one click each — Greataxe vs Greatsword, GWM break-even AC, Magic Missile vs Scorching Ray, advantage as a curve, Strahd in N rounds. Plus the canonical weapon table with means computed from the dice notation directly.

BG3 uses 5e damage rules directly, so every weapon's roll plugs into the same math machinery. Common martial and ranged weapons with their damage profiles, plus the build-choice deep-dives (greatsword vs greataxe under +1 weapons, dual-wield vs two-hand, the Sharpshooter / GWM variants).

The four-way per-shot outcome model (hit / crit / graze / miss) with exact rationals. Each common XCOM 2 weapon's per-shot distribution at typical aim values, the Squadsight aim-arc comparison (35% flank vs 95% overwatch), and the half-cover graze math that softens low-percentage shots more than the tooltip suggests.

Crit chance × Critical Strike Damage × multiplicative buckets — the D4 attack pipeline as exact rationals. The crit-vs-additive breakeven, the variance correction for crit-heavy builds, and the Torment Tier strike thresholds.

The Luck pool mechanic as a state-carrying Markov walk — per-character pool depletes on hits, refills on misses, boosts the next attempt's hit chance. Variance shrinks without the long-run mean shifting. Companion to the XCOM 2 streak-protection page.

Green Ronin's 3d6 + ability + focus vs TN with a stunt die that fires Stunt Points on success-AND-doubles. Why P(stunt) ≠ P(success) × P(doubles) at most TN values, and the closed-form expected SP given a stunt fires.

Chaosium's d100 roll-under with six discrete success bands off the same roll. Bonus / penalty die order statistic, the fumble discontinuity at skill 50, and sanity loss as gambler's ruin.