Poker Variance Calculator

How much swing is normal? Monte Carlo your next 100,000 hands or 10,000 tourneys and see where you actually land. Downswings, risk of ruin, and what your "Am I a winner?" math really says.

I win bb/100 over hands of
. SD 140 bb/100
020k40k60k80k100k Hands
Probability of profit
74.9%
Expected profit
+29.6 BI
95% of runs land between
−53 BI to +117 BI
1,000 runs simulated
Stake progression Auto move-up and move-down through the stake ladder

Play 2.5M hands, moving up when you clear the threshold and back down on downswings. Every setting below is editable. Test your own assumptions.

Derived winrate per stake
PLO10 +9.0
PLO20 +8.0
PLO25 +7.0
PLO50 +6.0
PLO100 +5.0
PLO200 +4.0
PLO500 +3.0
PLO1K +2.0
PLO2K +1.0
PLO5K 0.0
PLO10K −1.0
More analysis
Outcome distribution Median run: +29.7 BI

Sorted from best to worst. The median is the middle (the "typical" outcome), not the EV.

Top 1% luckbox
+128 BI
Top 5%
+103 BI
Top 25%
+59.5 BI
Median the typical run
+29.7 BI
Bottom 25%
−0.5 BI
Bottom 5%
−39.7 BI
Bottom 1% nightmare
−72.5 BI
Bankroll & risk of ruin

How deep can the cumulative profit line dip, and how big a starting bankroll do you need so it (almost) never dips past zero?

Risk of ruin
15.4%
over 100,000 hands

Required bankroll by risk tolerance over 100k hands, from this sim

Click a row to re-run the sensitivity table below at that target.

If you're wrong about your winrate (5% RoR target)

ScenarioAssumed winrateBankroll needed
Your assumption3.00 bb/10061.3 BI
Slightly worse1.50 bb/100123 BI
Much worse0.75 bb/100245 BI
Breakeven0.00 bb/100

A small misread of your true winrate balloons the bankroll you actually need: half the winrate means double the roll. At breakeven or worse no bankroll is safe. If you're unsure where you stand, read the Am I a winner? card below.

Downswings

How often a deep downswing shows up, and how long losing stretches drag on, under +3 bb/100 · 100k hands · SD 140.

How deep, and how long

Probability of a downswing ≥
5 BI >99.9%
10 BI >99.9%
25 BI 89.3%
50 BI 28.8%
100 BI 1.0%
Probability of a slump lasting ≥
2.0k >99.9%
5.0k >99.9%
10k 99.6%
25k 85.7%
50k 42.1%

Peak-to-trough inside a window

Your worst drawdown inside any given stretch of hands. Pick the threshold, see how often it shows up in a month / quarter / full sample.

Threshold
In any 8.3k-hand stretch
94.2%
chance of dropping ≥20 BI
In any 25k-hand stretch
96.6%
chance of dropping ≥20 BI
Over the full 100k hands
96.6%
chance of dropping ≥20 BI
Am I a winner? Bayesian credible intervals on your true skill

If your results so far are +3.00 bb/100 over 100k hands, what can you honestly claim about your true skill?

Probability you are actually a winning player
73.2%
Credible interval on your true winrate
ConfidenceLowerUpper
60%-0.90+5.92
75%-2.15+7.17
90%-4.15+9.17
95%-5.43+10.44
Hands needed to know your winrate
within bb/100 at confidence: 7.5M hands
Your year, month by month One randomly drawn year with lucky/unlucky months
Total for the year · 1,200,000 hands +389 BI
100,000 hands /
Jan
+23 BI
-0.2σ
Feb
+36 BI
+0.1σ
Mar
+100 BI
+1.6σ
Apr
+9.3 BI
-0.5σ
May
−31.5 BI
-1.4σ
Jun
+52.4 BI
+0.5σ
Jul
+27.3 BI
-0.1σ
Aug
+108 BI
+1.8σ
Sep
−53.3 BI
-1.9σ
Oct
−14.4 BI
-1.0σ
Nov
+10.3 BI
-0.4σ
Dec
+122 BI
+2.1σ
🔥 ≥+2σ blessed 🍀 ≥+1σ lucky ❄️ ≤−1σ unlucky 💀 ≤−2σ disaster
Best month
Dec
+122 BI
Worst month
Sep
−53.3 BI

A single year rolled from your exact distribution. Hit roll enough times and you'll see how wild a "normal" year can look.

Backing deal Simulate staker + player with makeup

Model a stake deal. The backer absorbs the losses; you split the profits at each chop event (after makeup clears).

Your EV per 100,000 hands
0 bb
Backer's EV
0 bb
% of sims ending in makeup
<0.1%
Avg makeup owed at end
0 bb
Avg worst makeup (any point)
0 bb
Backer risk of ruin
<0.1%

Backer absorbs losses one-for-one; takes 50% of cleared profit at each chop. Chops happen every 10 sessions (25,000 hands). For a winning player this cuts EV versus playing on your own roll; in exchange you risk none of your own money and get to play bigger.

Poker variance is the swing of results around your true long-term winrate, and it is the reason a genuinely winning player can lose for weeks. This free calculator runs a Monte Carlo simulation: it deals out 1,000 alternate versions of your next hands or tournaments from your winrate and standard deviation (cash) or ROI, field size and payout structure (MTTs), then reports the realistic range of outcomes. You get expected versus realized profit, the depth and frequency of downswings, risk of ruin at your current roll, the bankroll a chosen risk tolerance requires, and a Bayesian 'Am I a winner?' estimate of how much an observed winrate over a given sample is actually worth. PLO runs far higher variance than No-Limit Hold'em: around 120-150+ bb/100 of standard deviation against 80-100, so a bankroll that feels comfortable in Hold'em can leave you badly under-rolled in PLO.

Poker Variance Calculator FAQ

How it works

A Monte Carlo bankroll simulator for cash games and tournaments. Enter your winrate and standard deviation (or tournament ROI and field size) and it plots 1,000 possible futures: expected vs realized results, downswings, risk of ruin, required bankroll, and how confident you can be in your winrate.

What is poker variance?

Variance is the natural swing of results around your true winrate. Even a clear winner endures long break-even or losing stretches; this calculator simulates 1,000 alternate versions of the exact sample you enter, so you see the realistic spread of outcomes instead of guessing at it.

How much variance is normal in PLO?

Far more than most players expect. With a standard deviation around 120-150 bb/100, a solid 5 bb/100 PLO winner still shows a loss over a 50,000-hand stretch about one time in five, and downswings of 15-25 buy-ins are routine. Run your own numbers above and look at the shaded band: 95% of runs is a much wider corridor than intuition suggests.

What bankroll do I need for PLO cash games?

Size it from risk of ruin, not a flat buy-in rule. At 3 bb/100 with SD 140, keeping risk of ruin under 5% across your next 100,000 hands takes about 65 buy-ins, and the classic play-forever formula says nearer 100. The 20-30 buy-in habit imported from NLHE is far too thin for PLO. The requirement also moves fast when your winrate estimate is off: half the winrate, double the roll. The bankroll card above computes all of this for your own numbers.

How is risk of ruin calculated, and what level is acceptable?

Risk of ruin is the probability your bankroll ever hits zero, given your winrate, standard deviation and starting roll. The calculator counts it directly from the simulated trajectories (the lowest point each run reaches) and labels the horizon it covers, rather than leaning on a single closed-form approximation. Target under 5%; even 5% is on the high side for a pro, and the standard discipline is to move down once a third to half of the roll is gone so you stay under it.

What standard deviation should I use?

Take it from your tracker (PokerTracker or Hold'em Manager): the per-100-hands standard deviation, ideally the all-in-adjusted figure. As a rough guide it runs around 80-100 bb/100 for NLHE 6-max and 120-150+ for PLO. The presets here default to 140 for PLO 6-max.

How deep can a normal downswing get?

Deeper than feels plausible. At 3 bb/100 with SD 140, about nine runs in ten hit a 25 buy-in drawdown somewhere in 100,000 hands, and break-even stretches of tens of thousands of hands are normal. Depth scales with your standard deviation and shrinks, relative to expectation, as your edge grows. The Downswings card reports the worst trough of every simulated run, so you can see what is normal for your numbers before reading anything into your own graph.

How is tournament variance different from cash-game variance?

Much higher. In a standard structure you cash under a fifth of the time and rare deep runs carry most of the profit, so long losing stretches are the default experience even for good players. Switch the calculator to tournament mode to model it from your ROI, field size and payout structure instead of a cash winrate.

Can I be a winning player and still be down, or losing and still up?

Yes, and over normal samples it is common. Results across a few tens of thousands of hands are dominated by variance, not skill, so a true winner can show a loss and a true loser a profit. The Bayesian 'Am I a winner?' card turns the question around: given your observed winrate and sample size, it estimates the probability you are actually a winner, which is far more honest than eyeballing a graph.

How does backing or staking change my variance?

Being staked moves the downside to your backer: you play on their money, carry makeup on losses, and split profits once the makeup clears. Your own money stops being at risk, and in exchange your expected take shrinks by the backer's cut. The backing card simulates exactly that deal structure, including how often an engagement ends still in makeup and the backer's own risk of ruin.

Does multi-tabling reduce my variance?

No. Your standard deviation per 100 hands stays roughly the same when you add tables; what changes is your winrate, which drops as attention splits. Same variance on a smaller edge means more frequent and deeper downswings, even when total hourly EV holds. More hands per hour does compress the long run in calendar time, so the trade can still be right while the winrate holds up. The multi-tabling penalty in settings models it the honest way: winrate down, SD unchanged.

Why is PLO variance higher than Hold'em?

Four cards per player means ranges run much closer in equity. Made hands are rarely locks before the river, draws are huge, and the money regularly goes in with both sides live, so the same edge produces far bigger swings around it. That extra standard deviation per 100 hands is exactly what this calculator turns into downswing, risk-of-ruin and bankroll numbers.

How many hands or tournaments should I simulate?

Use your real sample, or the volume you plan to play. The point is to see how wide the outcome band is at that scale: at 10,000 PLO hands the spread is enormous, by 500,000 it narrows a lot but never vanishes. The 'Am I a winner?' card will also tell you how many hands pin your winrate to within 1 bb/100 at 95% confidence: with PLO variance, about 7.5 million.

The reference tables: downswing depth, duration and bankroll grids for 2-8 bb/100