Poker Calculator

Calculate poker hand probabilities, pot odds, expected value, and equity for Texas Hold'em. Includes hand ranking reference and outs counter.

Hand Equity
35.0%
Rule of 4: ~36%
Pot Odds
20.0%
Need 20.0% equity to call
Expected Value
+$18.71
Profitable call
Decision
โœ… CALL
Equity exceeds pot odds
Break-Even Outs
6
Minimum outs needed to call profitably
Odds Against
1.9 : 1
Against hitting your draw

Equity vs. Pot Odds

Equity
35.0%
Pot Odds
20.0%

Common Outs Reference

DrawOutsFlop Eq.Turn Eq.Example
Gutshot straight416.5%8.5%5-6-8-9, need 7
Two overcards624.1%12.8%AK on low board
Open-ended straight831.5%17.0%5-6-7-8, need 4 or 9
Flush draw935.0%19.1%4 suited, need 1 more
Flush + gutshot1245.0%25.5%Flush draw + inside straight
Flush + open-ended1554.1%31.9%Flush draw + OESD
Pair to trips/set28.4%4.3%Pocket pair on flop
Two pair to full house416.5%8.5%Top two pair
Set to full house/quads727.8%14.9%Set on flop
One overcard312.5%6.4%AX vs pair, need A
Hand Ranking Probabilities (5-card)
HandOdds AgainstProbability
Royal Flush649,739 : 10.000154%
Straight Flush72,193 : 10.00139%
Four of a Kind4,164 : 10.024%
Full House693 : 10.144%
Flush508 : 10.197%
Straight254 : 10.392%
Three of a Kind46 : 12.11%
Two Pair20 : 14.75%
One Pair1.37 : 142.3%
High Card0.995 : 150.1%
Planning notes, formulas, and examples

About the Poker Calculator

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 โ€” call, raise, or fold โ€” 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 calculator shows you the numbers behind every decision. The outs reference table covers all common drawing situations โ€” flush draws, straight draws, overcards, and combination draws โ€” so you can quickly estimate your equity mid-hand.

When This Page Helps

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.

How to Use the Inputs

  1. Enter the number of outs โ€” cards in the deck that complete your draw.
  2. Select the street โ€” flop (two cards to come) or turn (one card to come).
  3. Enter the current pot size in chips or dollars.
  4. Enter the bet amount you need to call.
  5. Review your hand equity, pot odds, and expected value.
  6. Check the outs reference table for common drawing situations.
  7. Compare pot odds vs. hand odds to determine if calling is profitable.
Formula used
Equity (turn only) = outs / remaining cards. Equity (turn + river) โ‰ˆ 1 - ((47-outs)/47 ร— (46-outs)/46). Pot odds = call / (pot + call). EV = (equity ร— pot) - ((1-equity) ร— call). Call is +EV when equity > pot odds.

Example Calculation

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.

Tips & Best Practices

  • Memorize the rule of 2 and 4 for quick in-game equity estimates.
  • Always count your outs conservatively โ€” discount outs that might give an opponent a better hand.
  • Pot odds only tell half the story โ€” consider implied odds for deep-stack situations.
  • A flush draw (9 outs) is roughly 35% on the flop and 19.6% on the turn.
  • If your EV is positive, the play is correct regardless of short-term results.
  • Position matters โ€” you get more information before acting in late position.

Poker Probability Fundamentals

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 ร— 4 = 36%, which is close to the exact 34.97%. This shortcut is accurate enough for real-time decision-making.

Understanding Expected Value (EV)

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 ร— amount won) - (probability of losing ร— amount lost). When EV is positive, the action is correct. When negative, fold.

Common Drawing Situations

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.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • 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).