Profitable poker is a series of pricing decisions: every call is worth making when your share of the pot exceeds what the call costs you. That takes two numbers — your equity against the opponent's range, and the required equity implied by the pot odds. This page computes both.
What Is Equity?
Equity is your mathematical share of the pot based on your probability of winning. If you have 60% equity, you should win the pot 60% of the time on average. Equity changes as more community cards are revealed.
Counting Outs
Outs are cards that can improve your hand. For example, with a flush draw you have 9 outs (13 suited cards minus 4 you can see). The Rule of 2 and 4 estimates your chance: multiply outs by 2 for one card to come, or 4 for two cards.
Pot Odds Explained
Pot odds compare the cost of a call to the potential reward. If the pot is $100 and you must call $20, you're getting 5:1 odds (20%). You need at least 20% equity to break even on the call. If your equity exceeds the required equity, calling is profitable long-term.
Common Mistakes
Counting outs that would give your opponent a better hand (tainted outs) — if you're drawing to a flush but the board pairs, your opponent might already have a full house. Always consider which of your outs are 'clean' versus which might complete a better hand for your opponent.
Confusing pot odds with implied odds — pot odds only consider the current pot size, while implied odds factor in future bets you expect to win. Use pot odds for immediate decisions, but consider implied odds when deep-stacked and your draw is well-hidden.
Assuming all outs are equal — a flush draw (9 outs) is more reliable than overcard outs (6 outs) because flush draws are harder for opponents to read and less likely to be tainted. Weight your outs by quality when making close decisions.
Worked Examples
Flush Draw on the Flop
You hold A♥ K♥ and the flop comes 7♥ 3♥ 9♠. You have 9 outs (remaining hearts) for the nut flush. Enter your hand and the board into the calculator: it shows roughly 35% chance to complete the flush by the river — before even counting the times an ace or king wins unimproved. If the pot is $100 and your opponent bets $50, you need 50 ÷ (100 + 50 + 50) = 25% equity to call profitably. With 35%+ equity this is a clearly profitable call, and raising as a semi-bluff is often better still.
Set Mining with a Pocket Pair
You hold 5♠ 5♦ and the flop comes K♣ 9♠ 2♥ — no set. You have just 2 outs (the remaining fives) to hit a set. The calculator shows only 8.4% equity with two cards to come, or about 4.3% on the turn alone. If your opponent bets €30 into a €40 pot, you need 30/(40+30+30) = 30% equity to call based on pot odds alone. At 8.4%, this is a clear fold — unless your opponent is very deep-stacked and will pay off a large bet when you do hit, making the implied odds worthwhile.
Overcards with Backdoor Draws
You hold A♠ K♦ and the flop is 8♣ 6♠ 3♠. You have 6 outs for top pair (three aces, three kings) plus a backdoor spade draw. The calculator shows roughly 24% equity by the river for the overcards alone. With backdoor potential factored in, this might be worth a call if the pot odds are close. However, be cautious — even if you hit an ace, an opponent holding A8 still beats you. Not all outs are created equal.
With 10,000 simulations the equity estimate is typically within about ±1 percentage point of the true value, which is plenty for most decisions. Raise it to 25,000–50,000 when the call is borderline — the error shrinks with the square root of the sample size, so 4× the simulations halves the noise.
An opponent's range is the set of hands they might hold based on their playing style. A "tight" player only plays premium hands like big pairs and AK, while a "loose" player might have almost any two cards. Choosing the right range dramatically affects your equity calculation.
Use pot odds every time you face a bet. Enter the pot size before the bet and the amount you must call; the calculator returns the required equity — call ÷ (pot + bet + call). If your equity beats that threshold, calling makes money long-term. Just remember it prices only the current street: with strong implied odds (hidden draws, deep stacks) you can profitably call slightly below the threshold.
How this calculator works
Formula:
Equity = win% + (tie% ÷ number of players), estimated by Monte Carlo simulation
