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Variance in Poker: Why Good Players Lose for Weeks

Variance in Poker: Why Good Players Lose for Weeks

Variance is the natural up-and-down swing of your results caused by luck: the cards you receive, the draws that hit or miss, and the order in which they come. In poker, variance is large enough that a winning player can lose for weeks and a losing player can win for a month. Understanding it protects you from bad decisions after bad runs.

The short version

  • Poker results are a mix of skill (which shows over the long run) and luck (which dominates the short run).
  • A good player can easily lose over 10,000 hands. The edge only becomes clear over a very large sample.
  • You cannot remove variance, but you can survive it with a proper bankroll and avoid tilt.
  • Judge your play by your decisions, not by one session's results.
Chance that a winning player is behind after a number of hands
Chance that a winning player is still behind after n hands (model: 5 bb/100 winrate, 80 bb/100 deviation).

A simple model: winrate and standard deviation

Cash-game results are often measured in big blinds per 100 hands (bb/100). Two numbers describe a player:

  • Winrate: the average profit per 100 hands. A strong online 6-max player might make a few bb/100.
  • Standard deviation: how widely results spread around the average. In no-limit hold'em, it is often around 80 to 100 bb per 100 hands.

Take a winrate of 5 bb/100 and a standard deviation of 80 bb/100. Over n hundred hands, the expected profit is 5 × n bb, but the typical spread is 80 × √n bb. Spread grows more slowly than profit, so the edge wins out only with volume.

What this means in practice

Hands playedExpected profitTypical spread (±1 standard deviation)Chance of being behind
1,000+50 bb±253 bbabout 42%
10,000+500 bb±800 bbabout 27%
50,000+2,500 bb±1,789 bbabout 8%
100,000+5,000 bb±2,530 bbabout 2%

Even a clearly winning player is behind after 10,000 hands about once in four. This is a model with round numbers, not a promise: real winrates and deviations differ by player, format and stake.

Downswings and breakeven stretches

A downswing is a period of losses; a breakeven stretch is a long period without profit. In the same model, a winning player can go tens of thousands of hands without a new high. Tournament players have larger variance still, because the prize is concentrated at the top: you can play dozens of tournaments without a deep run.

Sources of variance

  • Card luck: hole cards, flops, who hits their draw.
  • Format: tournaments and Spin & Go have higher variance than cash games. Short-handed and aggressive play also increases swings.
  • Stakes and style: loose, aggressive styles and high-variance strategies make results more volatile.

How to handle variance

  1. Keep enough buy-ins. The more volatile the game, the more buy-ins you need. See bankroll management.
  2. Track your results over thousands of hands, not sessions.
  3. Separate decisions from results. If you got all-in with the better hand, you played well even when you lost. Many tools show your "all-in luck" so you can see how much of a result was luck.
  4. Plan for breaks and stop-losses (see tilt).
  5. Do not move down or up on a hunch. Move by your bankroll rules.
  6. Accept that you cannot control the cards. You can control your decisions, preparation and rest.

Common mistakes

  • Believing a bad week proves you are a losing player, or that a good week proves you are a good one.
  • Changing a correct strategy after a few bad beats.
  • Playing stakes too high for your bankroll, where normal variance can bust you.
  • Quitting because of results rather than leaks.

Frequently asked questions

What is variance in poker?

The short-term swings in results caused by luck, around your long-term average.

How long can a good player lose?

Over tens of thousands of hands, depending on the game. In the example model above, a winner is behind after 10,000 hands about 27% of the time.

How do I reduce variance?

You cannot remove it, but you can reduce its impact: play lower-variance games (cash instead of Spin & Go), and keep a bigger bankroll.

Is a downswing a sign of a leak?

Not necessarily. Review your play, but do not assume that a bad run means a bad strategy.

Try the calculator

Set your own win rate and standard deviation in the bankroll calculator to see the chance of being behind after any number of hands, using the same model as the table above.

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