Poker Variance Swings

GAME & ENTERTAINMENT – CARD GAME CALCULATOR Poker Variance Swings A precise tool.
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What is the Poker Variance Swings & How does it work?

In poker, the long‑run winrate (ΞΌ) is expressed in big‑blinds per 100 hands. Over a finite sample, the actual result deviates from ΞΌ due to random variance, which is quantified by the standard deviation (Οƒ) of the winrate.

The magnitude of a swing can be estimated with a confidence‑interval approach. By selecting a z‑score that reflects the desired confidence level (e.g., 1.645 for 95β€―% one‑sided), we can predict how far the observed result is likely to fall below the expected value.

Because variance grows with the square‑root of the number of hands (N), larger samples reduce the relative impact of swings, but the absolute swing size still increases with √N. This relationship is crucial for bankroll management and for setting realistic expectations during down‑swings.

text{Downswing}=mu,N – z,sigma,sqrt{N}
Downswing = expected profit minus the confidence‑adjusted variance component
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Parameters
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Frequently Asked Questions
What is long-run winrate in poker?
Long-run winrate (ΞΌ) is the expected average winnings per 100 hands, expressed in big-blinds.
How do I calculate the standard deviation of winrate?
Standard deviation (Οƒ) measures the volatility or spread of your winrate around the mean over a sample period.
What is a z-score in this context?
A z-score represents how many standard deviations an element is from the mean, used here to determine confidence intervals.
How do I interpret the confidence interval for poker variance?
The confidence interval shows the range within which your actual winrate is likely to fall below or above the expected value.
What does a higher z-score mean in terms of confidence?
A higher z-score corresponds to a higher confidence level, meaning the observed result is less likely to deviate from the expected value.
Can this calculator be used for other games besides poker?
While it’s primarily designed for poker, similar variance swing calculations can be applied to other games with winrate data and standard deviation.
How often should I recalculate my poker variance swings?
It’s recommended to recalculate variance swings periodically as your playing style or game conditions change to maintain accurate predictions.

Results are for informational purposes only and do not constitute professional advice.