POKER EXPECTED VALUE CALCULATOR
A poker decision can be mathematically profitable even when you lose the hand, and mathematically unprofitable even when you win. The Poker Expected Value Calculator measures the long-term mathematical value of calling a bet based on the amount you can win, the amount you must call, and your probability of winning the hand.
Expected value, commonly referred to as EV, expresses that value in dollars. A positive EV (+EV) result means the decision is mathematically profitable over repeated identical situations. A negative EV (−EV) result means the decision would lose money over time.
The result does not tell you whether you will win this particular hand. It tells you whether the call is mathematically profitable long term based on the information entered into the calculator.
You can enter your probability of winning directly or use your number of outs, allowing the calculator to determine the probability before calculating the expected value of the call.
Poker Expected Value Calculator
Calculate the expected value of calling a bet.
Results
HOW TO USE THE POKER EXPECTED VALUE CALCULATOR
Start by entering the current pot size, including the opponent’s bet you are considering calling. Then enter the amount you must call to continue in the hand.
Next, choose how you want to enter your chance of winning.
If you already have an estimated probability of winning, select Probability (%) and enter that percentage directly.
If you are evaluating a drawing hand based on outs, select Number of Outs. Enter the number of outs, then choose whether the decision is Flop to Turn or Turn to River. The calculator will use 47 or 46 unseen cards, respectively, to determine the probability of hitting one of those outs.
Select Calculate EV.
The results show your probability of winning and losing, the amount won when successful, the amount lost when unsuccessful, and the expected value of the call.
A result above $0 is positive EV (+EV). A result below $0 is negative EV (−EV). And a result of $0 is mathematically break-even.
For example, an EV of +$10 means that making the same decision repeatedly under identical mathematical conditions would produce an average profit of $10 per decision. It does not mean you will win $10 on the current hand. Likewise, a −$10 EV decision represents an average mathematical loss of $10 over repeated identical situations, regardless of what happens on any individual hand.
USING EXPECTED VALUE TO EVALUATE A POKER DECISION
Expected value allows you to evaluate a decision independently of the result of a single hand.
Suppose there is $150 in the pot and you must call $50. You estimate that you will win the hand 30% of the time.
If you win, you gain the $150 already in the pot. If you lose, you lose the $50 call.
The expected value calculation is:
(30% × $150) − (70% × $50)
$45 − $35 = +$10
The call therefore has an expected value of +$10.
That does not mean calling guarantees a profit on this hand. You will still lose 70% of the time based on the probability entered. What the calculation tells you is that the amount won during the 30% of successful outcomes is sufficient to overcome the losses from the remaining 70%.
This distinction is important when reviewing poker decisions. The result of the hand does not determine whether the decision was mathematically profitable.
If you make the +$10 EV call and lose, the calculation does not become incorrect. If you make a negative-EV call and happen to win, the decision does not become mathematically profitable.
Expected value evaluates the decision over repeated identical situations, rather than judging it by the outcome of one hand.
IMPORTANT CONSIDERATIONS
The expected value calculation is based on the information entered into the calculator. If the probability of winning is estimated incorrectly, the EV result will also be affected.
When using outs, the calculator determines the probability of hitting one of those cards based on the number of unseen cards. It cannot determine whether every apparent out will actually produce the winning hand.
The calculation also evaluates the immediate decision to call. It does not include future betting, implied odds, reverse implied odds, or additional money that may enter the pot on later streets.