EV
EV
EV (Expected Value) quantifies the average profit or loss of a decision over the long run, considering all possible outcomes weighted by their probabilities.
Definition and Importance
Expected Value (EV) is a fundamental concept in poker that measures the average outcome of a decision if it were repeated an infinite number of times. In poker, every action (fold, call, bet, raise, check) has an EV. A positive EV (+EV) decision yields profit over the long term, while a negative EV (−EV) decision loses money. Understanding EV is crucial for optimal play and bankroll management.
Calculating EV in Poker
EV is computed by summing the value of each possible outcome multiplied by its probability:
EV = (Probability of Win × Amount Won) + (Probability of Loss × Amount Lost)
In practice, ranges, opponent tendencies, and future streets introduce complexity, but the core principle remains.
Example
Suppose you face an all-in bet of $100 into a pot of $200. You estimate your hand has a 40% chance to win. Calling EV:
- Win: 0.40 × ($200 + $100) = 0.40 × $300 = $120
- Lose: 0.60 × (−$100) = −$60
- EV = $120 − $60 = $60
Since EV > 0, calling is profitable in the long run.
Common EV Mistakes
- Confusing EV with actual outcome: A single hand may lose but still be +EV.
- Ignoring implied odds: EV calculations can account for future betting rounds.
- Overlooking fold equity: When betting, EV includes the chance opponent folds.
EV in Different Poker Contexts
Preflop
Starting hand selection often relies on EV: aggressive hands like AA have high +EV, while weak offsuit combos may be −EV from early position.
Postflop
Continuation bets, draws, and bluffs are analyzed via EV. For example, a semi-bluff with a flush draw can be +EV even if not always called.
Tournament ICM
In tournaments, chip EV ($EV) differs from cash EV due to payout structure (Independent Chip Model). A +chip EV move may be −$EV near the bubble or final table.
Strategies to Increase EV
- Value betting: Bet sizes that maximize profit when ahead.
- Bluffing with correct frequency: Making opponents indifferent to calling (Game Theory Optimal).
- Hand reading: Narrowing opponent ranges to improve EV estimates.
Conclusion
EV is the single most important mathematical concept in poker. Every decision should aim for the highest EV, considering all information. While perfect calculation is impossible in real time, developing an intuition for EV through study and practice leads to better long-term results.