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CEV and variance: Why your graphs lie to you

Your Expresso results graph can be misleading. Learn CEV, the real performance metric, and why downswings are normal.

In Expresso, your results graph can show losses even when you’re playing well. Understanding CEV separates real performance from variance noise.

What Is CEV (Chips EV)?

Chips EV (CEV) is the chip expectation — it estimates how many chips you should win on average based on your decisions, independent of actual card outcomes.

Concrete example: you go all-in with 70% chance of winning. Your CEV is +70% of the pot regardless of whether you actually win or lose that hand.

What CEV to Aim For?

On Winamax with 500 starting chips per player (1500 chips total), you need to win 35.8% to break even after rake.

Minimum CEV = 35.8% × 1500 - 500 = 537 - 500 = 37 chips per game

In other words: if your CEV is above +37-40 chips per game, you’re a long-term winner.

Why Graphs Lie to You

Here’s what simulation of 100 identical players (same CEV) shows:

200 games: impossible to distinguish a winner from a loser. Variance dominates completely.

1,000 games: a trend begins to emerge, but outliers are everywhere.

10,000 games: the CEV curve converges to the real value. This is where you can start trusting your results.

Practical consequence: don’t panic over a 30-40 buy-in downswing over 2,000 games — it’s statistically normal.

Downswings Are Normal — Even for Good Players

A player with good CEV (+59 chips/game) over 2,000 games can experience:

A 30 buy-in downswing in 50% of simulations

A 60 buy-in downswing in 10% of simulations

An 80+ buy-in downswing in the worst-case scenarios

These numbers explain why a 100-150 buy-in bankroll is essential for Expresso.

Summary

Track your CEV, not your euro results graph — especially over small samples.

Minimum CEV for profitability on Winamax: ~+37-40 chips/game

30-60 buy-in downswings are statistically normal in Expresso

Use Swongsim to calibrate expectations and size your bankroll correctly

CEVand Variance200 games(total noise)Impossibleto conclude1,000 games(trend emerges)Starting toconverge10,000 games(reliable)True CEVvisibleCEV — and Variance
Category
What it measures / volume required
When to use / limitation
CEV (chips EV)
Decision quality, filters luck — 1000+ games
Technical diagnosis of play — requires a tracker
ITM%
In-the-money frequency — 2000+ games
Verify profitability threshold (≥35.8%) — sensitive to short-term variance
Net result (€/$)
Actual financial outcome — 3000+ games
Measure real ROI — conflates skill + variance
Result > CEV
You've been running hot
Keep playing, change nothing — regression to the mean coming
Result < CEV
Temporary negative variance
Patience, your CEV is your true level — don't panic
Low CEV + High result
False winner (lucky stretch)
Critical: improve technique before gains evaporate
Three different metrics — three different uses. CEV measures your true skill level, ITM% verifies your profitability threshold, net result is your actual financial outcome. When they diverge, it's rarely a strategy issue — it's variance.
Interpretyour CEVCEV positive(+40 chips/game)You'reprofitableCEV negative(< 0 chips)Review yourstrategySample< 3000 gamesBe patientno conclusion yetResult ≠ CEV(large gap)NormalvarianceInterpret — your CEV
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Key Takeaways

  • 1CEV = chip expectation independent of outcomes. Track CEV, not euro results.
  • 2Minimum CEV on Winamax: +37-40 chips/game to be profitable after rake.
  • 330-60 buy-in downswings are normal. Trust results only after 10,000+ games.
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