Key Takeaways
- In five-card poker, the probability of being dealt a Royal Flush is exactly 1 in 649,740 hands
- The odds of getting a Straight Flush (excluding Royal Flush) in five-card poker are 1 in 72,193 hands
- Four of a Kind occurs with probability 1 in 4,165 hands in five-card poker
- In Texas Hold'em, AA preflop equity vs random hand is 85.2%
- KK preflop win rate vs random range is 82.4% in Hold'em
- QQ equity heads-up preflop is 79.9%
- On the flop, top set equity is 81.6% vs overpair in Hold'em
- Flush draw on flop has 35% equity vs top pair in Hold'em
- Open-ended straight draw equity 31.5% on flop vs overpair
- AA vs AK on turn with flush draw opponent equity shifts to 42%
- Set on turn vs flush draw equity 62.3% heads-up
- Straight on turn vs higher straight draw 55.1% equity
- On river, nuts equity is 100%, but bluff catcher equity vs value range 35%
- In Omaha, double suited AAKK preflop equity 72.5% vs random
- PLO flop wrap equity 54.2% vs top set
This blog post details the exact odds for every poker hand across different game variants.
Equity vs. Ranges
- AA vs AK on turn with flush draw opponent equity shifts to 42%
- Set on turn vs flush draw equity 62.3% heads-up
- Straight on turn vs higher straight draw 55.1% equity
- Top pair on turn equity vs combo draw 38.7%
- OESD on turn equity 29.4% to river
- Flush completed on turn equity 82.5% vs top pair
- Two pair on turn vs set equity 18.2%
- Overpair on turn vs double draw 45.6% equity
- Trips on turn equity vs full house draw 67.8%
- Broadway straight on turn 71.4% vs flush draw
- Turn brick for flush draw reduces equity to 19.6%
- Turn pairs OESD to straight 100% equity if nuts
- Flush draw on turn vs set 35.2% equity
- Straight on turn equity vs flush redraw 48.9%
- Set on turn vs combo draw 61.7%
- Top two pair turn equity 69.3% vs draws
- Wheel straight turn 73.5% vs higher cards
- Overfull house draw turn equity 42.1%
- Nut flush on turn 88.4% vs bluffs
- River completes FD but pairs board equity 55%
- Turn runner-runner FD equity realized 4.3%
- River block bet with TPTK equity 52.1% vs aggro range
- Set over set turn cooler equity split 50/50
- Nut straight river vs flush 0% dead
- Two pair river equity vs better two pair 33.5%
- Bluff catcher river equity 28.9% vs polarized range
- Full house river 92.4% value
- Trip aces river vs quads 12.1%
- Blocked value river jam equity +8%
- PLO nut flush equity 68.7% multiway river
Equity vs. Ranges Interpretation
Postflop Hand Frequencies
- On the flop, top set equity is 81.6% vs overpair in Hold'em
- Flush draw on flop has 35% equity vs top pair in Hold'em
- Open-ended straight draw equity 31.5% on flop vs overpair
- Gutshot straight draw on flop equity 16.5% vs top pair
- Overpair on flop equity vs two overcards 71.2%
- Set mining flop equity implied odds require 15:1 pot odds
- Top pair top kicker flop equity 65.4% vs draw heavy range
- Double gutter on flop 28.2% equity vs overpair
- Wheel straight draw flop equity 32.4%
- Monotone flop hits flush draw 9% of time by river
- On paired flop, set equity 82.1% vs overpair
- Rainbow flop flush draw equity 34.9%
- Monochrome flop nut flush draw 41.2% equity vs top pair
- Flop texture dry board top pair equity 78.5%
- Wet flop OESD + FD equity 52.3%
- Bottom set on flop equity vs draws 76.4%
- Overpair on coordinated flop 58.7% equity
- Gutshot + overcards flop equity 22.1%
- Trips with redraws flop 85.2%
- Two flush draws on flop multiway equity drops to 28%
- Flop c-bet frequency with top pair 72.5% in position
- Dry flop check-raise equity adjustment +12%
- Flop hit rate with suited connectors 32.1%
- Paired board fold equity 28.4% with air
- Nut advantage flop equity +15.2% multiway
- Blocker heavy floats flop success 41.3%
- Medium strength hands flop bet frequency 55.6%
- Turn donk bet equity with draws 39.8%
- River overbet value equity threshold 75.2%
- Turn fold equity with semi-bluff 34.7%
Postflop Hand Frequencies Interpretation
Preflop Hand Strengths
- In Texas Hold'em, AA preflop equity vs random hand is 85.2%
- KK preflop win rate vs random range is 82.4% in Hold'em
- QQ equity heads-up preflop is 79.9%
- AKs preflop strength vs random is 66.2%
- AQo equity preflop is 61.8% vs random hand
- 76s suited connector preflop equity 56.3% vs random
- 22 pocket pair preflop winrate 50.3% vs two random cards
- JTs preflop equity 58.1% heads-up
- KQo offsuit preflop strength 59.2%
- 98s equity vs random 57.4% in Hold'em preflop
- In Texas Hold'em preflop, 72o is the worst starting hand with 32.4% equity vs random
- AJs preflop equity vs 22+ range is 48.7%
- Pocket 99 preflop winrate 54.2% vs loose range
- KJs suited preflop strength 62.1% heads-up tight
- QTo offsuit equity 45.3% vs random hand
- 65s connector preflop 53.8% equity
- TT pocket pair 57.1% vs AKo specifically
- ATs preflop 61.2% vs underpair
- 87s equity 55.9% preflop random
- In Preflop 6-max, raise first in with 22+ 15.2% of hands
- Button vs BB preflop shoving range equity 58.4%
- UTG 9-handed open raise AA equity 88.1% vs calling range
- Suited ace cutoff steal equity 52.3%
- Pocket kings vs AK preflop all-in 71.2% equity
- Broadway offsuit SB 3-bet equity 49.7%
- Gapped connectors MP equity 47.8% vs tight range
- Weak ace BB defend equity 44.2%
Preflop Hand Strengths Interpretation
Probability Distributions
- In five-card poker, the probability of being dealt a Royal Flush is exactly 1 in 649,740 hands
- The odds of getting a Straight Flush (excluding Royal Flush) in five-card poker are 1 in 72,193 hands
- Four of a Kind occurs with probability 1 in 4,165 hands in five-card poker
- Full House probability in five-card poker is 1 in 694 hands
- Flush odds are 1 in 509 hands in five-card poker
- Straight probability is 1 in 255 hands in five-card poker
- Three of a Kind occurs 1 in 47.2 hands in five-card poker
- Two Pair probability is 1 in 20.0 hands in five-card poker
- One Pair odds are 1 in 2.36 hands in five-card poker
- High Card probability is 50.1% or 1 in 2.0 hands approximately in five-card poker
Probability Distributions Interpretation
Variant-Specific Stats
- On river, nuts equity is 100%, but bluff catcher equity vs value range 35%
- In Omaha, double suited AAKK preflop equity 72.5% vs random
- PLO flop wrap equity 54.2% vs top set
- Stud 8 or better starting hand AA equity 68.3%
- In 5-card draw, probability of improving pair to trips is 11.8%
- Razz lowball ace-2-3-4 equity on fourth street 62.1%
- Badugi perfect pat hand frequency 0.0012% dealt
- In Short Deck Poker, AA preflop equity 78.9% vs random (no 2-5)
- Chinese Poker trips hand win rate 45.2% in fantasy units
- In PLO, AAxx double suited equity 65.4% preflop vs random four cards
- Omaha Hi-Lo scoop probability with A-2 suited 28.3%
- 7-card Stud pair on third street equity 62.7%
- 5-card Stud royal flush odds 1 in 500,000
- Draw poker after discard trips improve to full house 16.7%
- Pineapple poker AA preflop 78.2% equity
- Crazy Pineapple scoop rate 22.1%
- Irish Poker (32 cards) flush probability higher at 1 in 320
- Omaha preflop AA23ds equity 59.8% vs broadway
- Stud live cards impact third street equity +10.2%
- 5-draw lowball perfect hand 1 in 3,200
- HORSE rotation equity averages 55% per game
- Courchevel PLO flop all-in equity with trips 64.3%
Variant-Specific Stats Interpretation
Sources & References
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