Variance

Also known as: swing, swings

The statistical spread of results around your true win rate — the reason short-term outcomes lie about your edge.

Variance is the dispersion of your results around expectation. In poker it's quantified by standard deviation, usually expressed in bb/100 (big blinds per 100 hands) for cash, or in buy-ins / ROI points for tournaments.

The key fact players underrate: variance scales with the square root of sample size, while your edge scales linearly. Over \(N\) hands your expected profit is \(\text{win rate}\times N\), but the standard deviation of that profit is \(\sigma\sqrt{N}\). So the ratio of skill to luck grows only as \(\sqrt{N}\) — which is why a 5 bb/100 winner can lose over tens of thousands of hands and a break-even player can run hot for a month.

Typical figures:

Variance is why your bankroll is sized in buy-ins and why a downswing tells you almost nothing in a small sample. You can't reduce variance much (game selection helps a little); you can only fund it.

Example

A 5 bb/100 winner with \(\sigma=100\) over 10,000 hands expects \(5\times100 = 500\) bb profit, with std dev \(100\sqrt{100}=1{,}000\) bb. So a one-sigma swing spans roughly \(-500\) to \(+1{,}500\) bb — a losing 10k-hand stretch is completely normal for a clear winner.