GAMEGames & RandomQuirky Calculator
🃏

Poker Hand Odds & Pot Odds

Calculate hand probabilities in Texas Hold'em, Omaha, 5-Card Draw. Hand strength score, pot odds, expected value. Royal Flush ~0.003%; One Pair ~44%.

Concept Fundamentals
68
Hand Strength
83.3%
Pot Odds
$67.33
EV
Call (good pot odds)
Recommendation
Calculate Hand OddsUse the tools below to explore something different

✨ The Fun Behind This

Why It's Fun

Poker is a game of incomplete information. Pot odds tell you when to call. Hand strength estimates your equity.

How It Works

Select game type, enter hole cards and community cards. Set pot size and bet to call. We compute hand probabilities, pot odds, and EV.

Key Insights

  • ●Royal Flush ~0.003%. One Pair ~44% in Texas Hold'em.
  • ●Pot odds = Pot / (Pot + Bet). Call if win% > pot odds.
  • ●Omaha: use exactly 2 hole + 3 community cards.
Sources:Poker Probability
🃏
GAMES & RANDOMFeb 14, 2026

Poker Hand Probability — Texas Hold'em, Omaha & 5-Card Draw

Calculate hand probabilities, hand strength, pot odds, and expected value. Royal Flush through High Card.

Lottery →Roulette →

🃏 Quick Examples — Click to Load

Game Settings

Your Cards

Community Cards

poker_odds.sh
ANALYZED
$ analyze_hand --game=texas
Hand Strength
68%
Pot Odds
83.3%
Expected Value
67.3
Recommendation
Call (good pot odds)
Hand Probabilities
Royal Flush
0.00%
1 in 44643
Straight Flush
0.02%
1 in 5120
Four of a Kind
0.17%
1 in 595.2
Full House
2.60%
1 in 38.5
Flush
4.24%
1 in 23.6
Straight
6.47%
1 in 15.5
Three of a Kind
4.83%
1 in 20.7
Two Pair
23.50%
1 in 4.3
One Pair
39.42%
1 in 2.5
High Card
15.66%
1 in 6.4
Share:
Poker Hand Probability
Call (good pot odds)
68% Strength
🃏 Pot Odds: 83.3%📊 EV: 67.3
numbervibe.com/calculators/quirky/poker-hand-probability-calculator

Hand Probability Distribution

Hand Strength

📐 Calculation Breakdown

CONFIG
Game Type
Texas Hold'em
Hole Cards
A♠, K♠
Community Cards
—
PROBABILITY
Hand Strength
68%
Best Hand Prob
0.00%
1 in 44643
Pot Odds
83.3%
Pot / (Pot + Bet)
Expected Value
67.3
ext{EV} ext{estimate}
Recommendation
Call (good pot odds)

For educational and informational purposes only. Verify with a qualified professional.

🎲 Fun Facts

🃏

Flush draw has 9 outs — about 35% to hit by the river.

— Poker Math

👑

Pocket Aces win ~80% heads-up against random hands.

— Pre-flop

💰

If pot odds are 25%, you need to win 25%+ to call profitably.

— Pot Odds

📋 Key Takeaways

  • • Royal Flush is the rarest hand (~0.003%)
  • • One Pair is most common (~44% in Texas Hold'em)
  • • Pot odds tell you the minimum win rate needed to call profitably
  • • Hand strength combines your cards with board texture

💡 Did You Know?

🃏Flush draw has 9 outs — about 35% to hit by the riverSource: Poker Math
📊Open-ended straight draw has 8 outs — ~32% by the riverSource: Outs
👑Pocket Aces win ~80% heads-up against random handsSource: Pre-flop
💰If pot odds are 25%, you need to win 25%+ to call profitablySource: Pot Odds
🎲Omaha requires using exactly 2 hole cards + 3 communitySource: Omaha Rules
📐Expected value (EV) is the long-term profit of a decisionSource: Game Theory

📖 Hand Rankings (Best to Worst)

  1. Royal Flush
  2. Straight Flush
  3. Four of a Kind
  4. Full House
  5. Flush
  6. Straight
  7. Three of a Kind
  8. Two Pair
  9. One Pair
  10. High Card

🎯 Expert Tips

💡 Count Your Outs

Outs × 2 ≈ % to hit on next card. Outs × 4 ≈ % by river.

💡 Pot Odds Rule

Only call if your win probability exceeds pot odds.

💡 Position Matters

Late position allows more hands; early position tightens range.

💡 Bankroll Management

Never risk more than 5% of bankroll on a single hand.

❓ FAQ

What are pot odds?

Pot odds = Pot / (Pot + Bet to Call). If 25%, you need to win 25%+ of the time to profit.

What is hand strength?

A 0–99 score estimating how strong your hand is vs. opponents, based on your cards and the board.

How does Omaha differ?

You get 4 hole cards but must use exactly 2 with 3 community cards.

What is expected value?

EV = long-term profit of a decision. Positive EV = profitable over time.

Are these probabilities exact?

They are estimates. Exact odds require Monte Carlo simulation.

What are "outs"?

Cards that will improve your hand. Flush draw = 9 outs (same suit).

When should I fold?

When pot odds exceed your win probability, or when hand strength is very low.

What is implied odds?

Future bets you might win if you hit your draw. Can justify calls with poor immediate pot odds.

How accurate is hand strength?

It's a heuristic estimate. Real equity depends on opponent ranges and board texture.

📊 Poker by the Numbers

9 outs
Flush draw
8 outs
OESD
~80%
AA vs random
2×4 rule
Outs to %

🎯 Pre-Flop Hand Rankings (Quick Reference)

Strongest starting hands in Texas Hold'em (approximate order):

  1. Pocket Aces (AA)
  2. Pocket Kings (KK)
  3. Pocket Queens (QQ)
  4. Ace-King suited (AKs)
  5. Pocket Jacks (JJ)
  6. Ace-Queen suited (AQs)
  7. King-Queen suited (KQs)
  8. Pocket Tens (TT)
  9. Ace-King offsuit (AKo)
  10. Suited connectors (e.g., JTs, 9Ts)

Position and opponent tendencies significantly affect playability.

🏆 Tournament & Cash Game Tips

Key concepts for improving your game:

  • Bankroll: Keep 20–50 buy-ins for cash games; 100+ for tournaments
  • Position: Play more hands in late position (button, cutoff)
  • Aggression: Bet and raise more than you call; passive play loses money
  • Table selection: Find tables with weaker players when possible
  • Emotional control: Don't chase losses; take breaks after bad beats

📱 Using This Calculator

Select your hole cards and community cards from the dropdowns. The calculator updates automatically. Enter pot size and bet to call for pot odds and EV. Use the Analyze with AI button to get personalized strategy suggestions (opens ChatGPT).

⚠️ Limitations & Caveats

This calculator provides estimates, not exact equity. Real poker involves:

  • Opponent hand ranges (we don't model these)
  • Board texture and blockers
  • Implied odds and reverse implied odds
  • Multi-way pots (we assume heads-up for simplicity)

For precise equity, use dedicated poker software (e.g., PokerStove, Equilab, GTO+).

🔄 Quick Example Workflow

1. Choose game type (Texas Hold'em, Omaha, 5-Card Draw). 2. Select your hole cards from the dropdowns. 3. If Hold'em/Omaha, add community cards (flop, turn, river). 4. Enter pot size and bet to call. 5. Review hand strength, pot odds, and recommendation. 6. Use "Analyze with AI" for deeper strategy.

Load a quick example (e.g., "Flush Draw", "Pocket Aces") to see pre-configured scenarios. The hand probability bar chart and strength doughnut update in real time.

📈 Reading the Charts

The Hand Probability Distribution bar chart shows estimated probability for each hand rank (Royal Flush through High Card). The Hand Strength doughnut shows your 0–99 score. Higher = stronger hand relative to the board.

⚠️ Disclaimer: Gambling involves risk. Play responsibly. This tool is for educational purposes. Must be 18+ (21+ in some jurisdictions).

👈 START HERE
⬅️Jump in and explore the concept!
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