Calculate poker hand probabilities, pot odds, expected value, and equity for Texas Hold'em. Includes hand ranking reference and outs counter.
Poker is a game of skill where mathematics determines long-term profitability. Understanding pot odds, hand equity, and expected value separates winning players from losing ones. Every decision at the table — call, raise, or fold — should be backed by sound probability analysis.
This poker calculator helps you compute the key numbers behind optimal play. Enter your outs (cards that improve your hand), the pot size, and the bet to call, and it calculates your pot odds, hand equity, and whether calling is profitable in the long run. It also provides a complete hand probability table for drawing specific hands.
Whether you're studying Texas Hold'em strategy, reviewing a session, or learning poker math fundamentals, this tool shows you the numbers behind every decision. The outs reference table covers all common drawing situations — flush draws, straight draws, overcards, and combination draws — so you can quickly estimate your equity mid-hand.
Poker math is the foundation of winning play. This calculator trains your intuition for pot odds and EV so you can make better decisions faster at the table. It is especially useful when reviewing hands away from the table and checking whether a marginal call was actually profitable. That repeated review is what turns raw odds into better in-game instincts.
Equity (turn only) = outs / remaining cards. Equity (turn + river) ≈ 1 - ((47-outs)/47 × (46-outs)/46). Pot odds = call / (pot + call). EV = (equity × pot) - ((1-equity) × call). Call is +EV when equity > pot odds.
Result: 35% equity, 20% pot odds, +EV call (+$18.75)
With 9 outs (flush draw) on the flop, you have ~35% equity. Since 35% > 20% pot odds, calling the $25 bet is profitable with positive expected value.
A standard deck has 52 cards. After the flop in Hold'em, you've seen 5 cards (2 hole + 3 board), leaving 47 unknown. On the turn, 46 remain. The probability of hitting one of your outs on the next card is simply outs/remaining. For two cards to come, the calculation uses combinatorics to account for the possibility of hitting on either or both cards.
The rule of 2 and 4 is a practical approximation: multiply outs by 2 for one card to come, by 4 for two. For example, 9 outs × 4 = 36%, which is close to the exact 34.97%. This shortcut is accurate enough for real-time decision-making.
Expected value quantifies the average profit or loss of a decision over many repetitions. A +EV call means you profit in the long run, even though you'll lose any individual hand most of the time. Professional players focus exclusively on EV, accepting short-term variance in exchange for long-term profit.
EV = (probability of winning × amount won) - (probability of losing × amount lost). When EV is positive, the action is correct. When negative, fold.
The most frequent draws and their outs: flush draw (9), open-ended straight draw (8), gutshot (4), overcards (6), flush + open-ended (15), pair to trips (2), two pair to full house (4). Combination draws with 12+ outs are often slight favorites against made hands, justifying aggressive play.
Outs are the unseen cards that would improve your hand to a likely winner. For a flush draw you have 9 outs (13 suited cards minus your 4).
Multiply your outs by 4 on the flop (two cards to come) or by 2 on the turn (one card to come) for a quick equity estimate. This approximation is accurate within ±1-2%.
Call when your hand equity exceeds the pot odds percentage. If you need to call $20 into a $100 pot, your pot odds are 16.7% — call with 17%+ equity.
Implied odds account for additional money you expect to win on later streets if you hit your draw. They justify calling even when immediate pot odds are insufficient.
A flush draw has 9 outs. An open-ended straight draw has 8. A gutshot straight draw has 4. A flush + straight draw combo can have up to 15 outs.
The basic math works, but Omaha equities are more complex because each player holds 4 cards. This calculator is optimized for Texas Hold'em.