♠ CH.10 // FREE POKER TOOLS
The math lab. No sugar-coating module installed.
Three instruments built on the real formulas: a Monte Carlo variance simulator, a preflop equity trainer with genuine all-in numbers, and a risk-of-ruin calculator. They'll tell you things marketing never will — that's the point.
♠ INSTRUMENT 01 // RUN IT 800 TIMES
Same skill, same games — 800 parallel lifetimes.
Set a winrate and a bankroll, and the simulator deals the same stretch of hands to 800 identical copies of you. The spread between the luckiest and unluckiest copy is variance — the force that makes winners quit and losers confident. See it before you feel it.
// METHOD — per-100-hand results drawn from a normal distribution (σ≈100 bb/100 NLHE, ≈150 PLO), 800 runs, 20 plotted. Your winrate input is an assumption, not a prophecy.
♥ INSTRUMENT 02 // THE ALL-IN QUIZ
Preflop equities, burned in by streak.
Two hands, all-in, three possible equity splits — pick the real one. Fourteen matchups cover the situations that decide actual money: the flips, the dominations, the coolers. Regs know these numbers cold; after ten minutes here, so will you.
All-in preflop. What's the left hand's equity?
♦ INSTRUMENT 03 // RISK OF RUIN
The odds your bankroll doesn't survive you.
The classical formula — RoR = e−2·WR·B/σ² — turns your winrate, variance and buy-in count into one number: the probability you go broke even though you're a winning player. It's the number bankroll rules are built from; here it is with sliders.
~100 for full-ring/6-max NLHE, 120–140 for aggressive 6-max, 150+ for PLO.
Pair it with the planner
Clearing the welcome bonus means volume; volume means variance. Size the bankroll first, then chase the bonus.
Rakeback lowers your RoR
RISE cash is winrate with zero variance. Add your effective rakeback to WR here and watch the ruin number fall — it's the most underrated bankroll insurance there is.
The rule the formula implies
For typical winners, 30–50 buy-ins puts ruin in low single digits; 20 leaves it a live possibility. When old-timers say "forty buy-ins", this equation is why.
♠ FINAL TABLE ♠
The math is free. The lessons usually aren't.
Run the simulator until a 20-buy-in downswing stops surprising you — then you're ready to play anywhere, this room included.
18+ only. T&Cs apply. We may earn a commission if you sign up through our links — at no extra cost to you. It never changes what we write. Check that online poker is legal where you live before depositing.