胜率与手数 → 估算置信区间与下行波动
Variance describes the degree to which short-term results deviate from long-term EV. Even +EV players experience downswings; the larger the sample size, the closer the results are to the true winrate.
Context: Tool guide: variance
Variance describes the fluctuation of short-term results relative to +EV: the smaller the sample, the greater the deviation. MTT and deep-stack PLO have higher variance than low-volatility cash games; bankroll multiples should be adjusted upward. ROI and ITM require sufficient sample size; combine with orbit-cost to check if "playing enough" truly reflects positive EV. Use the calculator on this page to compute the break-even win rate instantly, then cross-reference with opponents' ranges, position, and turn/river plans to avoid simply memorizing formulas without applying them at the table.
Changing to a winning strategy after a losing streak; moving up in stakes without BRM after a win. Mistaking luck for skill. Ignoring the impact of rakeback and level selection on variance. Also, do not treat Solver frequencies as immutable truths without pot odds verification; when information is incomplete, ICM and SPR remain the first principles of tournament play.
Set psychological expectations using the length of a downswing. Separate evaluation of decision quality from tournament-roi and EV analysis. Establish both bankroll and emotional stop-loss limits, and track execution rate. Each week, pick five real hand histories and recalculate using the same tool, then revisit the glossary to review pot odds, ICM, SPR, and other concepts that are automatically linked. Cross-referencing with push-fold and MDF can help build a complete preflop and postflop mathematical framework faster.
Scenario：Cash game winrate 5bb/100, played 50,000 hands.
Standard deviation changes with √(number of hands) 2. 50k hands can still have a swing of ±10bb+ 3. Context: Tool example step: variance
Need 100k+ hands to reliably estimate winrate
Conclusion：Short-term losses do not represent -EV; stick to +EV and sufficient sample.
Scenario：NL25 lost 5 buy-ins in a row, thinking about moving up to NL50 to win it back.
Check if BRM still satisfies 20+ buy-in. 3. Context: Tool example step: variance
You should first lower bets or stop playing and review.
Conclusion：Raising bets after consecutive losses violates BRM; lowering bets or taking a break is a better choice.
期望值（Expected Value）是衡量一个决策在长期重复中平均盈利或亏损的数学指标，正EV表示盈利，负EV表示亏损。
Glossary赢率是衡量玩家在长期扑克游戏中盈利能力的核心指标，通常以每百手牌赢取的大盲注数（bb/100）表示。实战中，赢率用于评估策略有效性、筛选对手或判断自身水平，高赢率意味着稳定的正期望值。例如，一位线上玩家在NL100级别打10万手牌后，赢率为5bb/100，意味着他平均每百手牌净赚5个大盲注，即5美元。典型场景中，若你发现对手赢率超过10bb/100，可能需调整对抗策略，因其盈利模式过于激进。赢率需结合手牌样本量（至少数万手）分析，短期波动较大，长期才具参考价值。
Glossary在统计学中，用于估计总体参数的一个范围，该范围以一定置信水平包含参数的真值。
Glossary下风期指扑克玩家在一段时间内持续亏损，盈利曲线向下滑落的阶段。实战中，它常由运气波动、对手调整或自身状态下滑引发，意义在于提醒玩家保持纪律性，避免因情绪失控而偏离策略。例如，一位常规桌玩家连续两周输掉20个买入，尽管他仍按正确范围下注，但翻牌圈频繁被对手河杀，这就是典型的下风期。关键在于区分短期波动与长期技术缺陷，通过复盘和资金管理平稳度过。
Glossary波动（Variance）指德州扑克中因短期运气因素导致的实际结果与数学期望值之间的偏差程度。在实战中，波动决定了玩家在特定时段内可能经历的盈利或亏损幅度，即使长期决策正确，短期也可能因发牌或对手的随机性而遭遇连败或连胜。理解波动有助于玩家保持情绪稳定，避免因短期结果质疑自身策略。例如，你拿着AA全下，对手用72不同花跟注，河牌发出两张7让你输掉底池，这就是典型的高波动场景——你的胜率高达88%，但短期结果仍可能偏离预期。
Glossary样本量指在德州扑克中用于分析玩家表现或策略效果的手牌总数，通常以手牌数或牌局数衡量。其核心意义在于，手牌数量越大，统计数据的可靠性和代表性越高，避免因短期波动（如运气因素）导致误判。实战中，样本量用于评估胜率、入池率等指标的真实性，例如一位玩家在100手牌中胜率60%可能只是运气好，但若样本量达到10万手，该数据才更接近其真实水平。典型场景：分析对手时，仅凭几十手牌判断其激进风格易出错，需积累至少数千手牌才能得出有效结论。