100,000 hands
Find the expected profit, then the two bounds of the 95% range. Their distance from the EV line shows the spread of possible results for this volume and these assumptions.
See how much of your cash game results comes from variance: enter your winrate, standard deviation and volume.
Method checked · 7 September 2026
Volume : 100,000
Model probability
95% range
The shaded range applies at each point, not to an entire path. The EV line is an average, not a promised result.
bb · Simulation seed 42
No bankroll rule changes this curve: only your edge does. Fixing one recurring leak shifts the whole band upward.
This site contains affiliate links. We may earn commissions.
Brownian approximation over an infinite horizon, with a positive known winrate, fixed stakes and no withdrawals. Not a personal bankroll recommendation. One buy-in = 100 bb.
Distance from the previous observed peak. Intermediate lows between plotted points can be missed.
1. Enter the winrate you assume, in bb/100 after rake. 2. Enter your standard deviation from PokerTracker 4 or Hand2Note (in bb/100). 3. Choose the number of hands and press Calculate. The chart shows your expected profit and the 95% range of plausible results; tick “Show sample paths” to see how individual careers can look.
With a standard deviation of 80 bb/100, your observed winrate after 100,000 hands is still only accurate to about ±5 bb/100 (95% confidence). Narrowing that to ±2 bb/100 takes roughly 615,000 hands. Use your tracker’s standard deviation and treat a short sample as a hypothesis, not a verdict.
This normal model assumes a constant true winrate after rake, independent results and a constant standard deviation. Your observed winrate is an estimate, not a known true winrate. The outcome range does not estimate uncertainty in your true winrate.
These illustrative scenarios separate expected profit from the size of possible deviations. Enter each scenario, click “Calculate”, then note the three results above the chart.
Shared assumptions: winrate of 5 bb/100 after rake and standard deviation of 80 bb/100.
Find the expected profit, then the two bounds of the 95% range. Their distance from the EV line shows the spread of possible results for this volume and these assumptions.
Double only the number of hands. Expected profit doubles; total standard deviation grows more slowly. Deviations in big blinds can therefore increase while becoming smaller relative to expected profit.
Return to 100,000 hands and change only the winrate from 5 to 2 bb/100. Compare the probability of finishing at a loss and the lower bound: this shows the effect of a more cautious skill assumption. The calculator uses the winrate you enter; estimating your skill requires studying your hands and results.
The probability of finishing at a loss refers to the result at the end of your chosen volume. To understand drops along the way, show the paths and open the drawdown details: a drawdown is a fall from a previous peak.
The gap between your actual results and your expected results over a given sample. It is driven by card distribution, not by decision quality, which is why a winning player can lose over thousands of hands.
Use the value from your tracker (PokerTracker 4, Hand2Note). As a rough guide, full-ring NLHE is often around 60–80 bb/100, 6-max 80–100 bb/100, and PLO is much higher.
Yes. At 5 bb/100 and 80 bb/100 standard deviation, the model gives a 2.4% chance of being below zero after 100,000 hands, 8.1% after 50,000 hands, and 21.5% at 2 bb/100.
In this model, a 5 bb/100 winner needs about 1,900 bb (19 buy-ins) for a 5% theoretical risk of ruin, and a 2 bb/100 winner about 4,800 bb. Real bankroll rules should be more cautious: see our bankroll guide.
Rake mostly lowers your winrate after rake. The swings stay similar, so the same variance weighs more heavily and you need more hands to confirm an edge.
No. It shows the plausible range for a winrate you assume. Estimating your real winrate requires reviewing your hands and your sample.
First check winrate and standard deviation in your tracker. The simulation describes variance under your assumptions; it does not diagnose a technical leak.
Measure your play, review your decisions and build a study routine.
Understand why a range bets, find better bluffs and work on recurring spots: GTO Wizard connects solution study with practice. Explore a spot in your browser, then practise your decisions in the Trainer.
PokerSnowie makes studying poker inviting through play. Face its AI, review your decisions and identify habits that cause problems. A practical way to deepen your postflop understanding, hand by hand.
This site contains affiliate links. We may earn commissions.