Short Deck & Variant Mathematics • Published 2026-10-01 • Updated 2026-10-31
2026 Short Deck (6+ Hold'em) All-In Equity & Button-Ante Mathematical Benchmark
Exact Combinatorial Evaluation Of The 36-Card Short Deck (6+ Hold'em) Format Demonstrates That Removing Ranks 2 Through 5 Compresses Preflop All-In Equities By 11% To 18% Compared To 52-Card Texas Hold'em, Makes Flushes Significantly Rarer Than Full Houses (1.96% Vs. 3.26% On 7-Card Boards), And Elevates Open-Ended Straight Draws To A 48.5% Flop-To-River Completion Rate.
Key Empirical Findings
- Flush Over Full House Ranking Proof: In A 36-Card Deck With Only 9 Cards Per Suit, Completing A 5-Card Flush By The River Occurs On Just 1.96% Of 7-Card Deals Compared To 3.26% For A Full House Or Quads, Justifying Flush Beating Full House.
- Rule Of 3 And 6 For Out Counting: Because Only 31 Unseen Cards Remain On The Flop (And 30 On The Turn), Each Clean Out Provides ~3.2% Equity On The Turn And ~6.3% Flop-To-River, Giving An 8-Out Straight Draw ~48.5% Equity Against Top Pair.
- Pocket Aces Compression Versus Connected Hands: Pocket Aces Hold 85.2% Equity Against Random Hands In 52-Card NLH But Drop To 74.8% In 6+ Hold'em, And Run Only 54.4% To 45.6% Against J-T Suited.
- Ace-As-Five Wheel Mechanics: Because A-6-7-8-9 Forms The Lowest Straight In Short Deck, Hands Like 9-8 Suited And T-9 Suited Realize Higher Multiway Equity Than Disconnected High Cards Like A-K Offsuit.
52-Card No-Limit Hold'em Vs. 36-Card Short Deck (6+) Combinatorial And Equity Benchmarks
| Mathematical Metric / Matchup | 52-Card Texas Hold'em | 36-Card Short Deck (6+) | Equity / Probability Shift | Strategic Consequence |
|---|---|---|---|---|
| Total Starting Hand Combinations | 1,326 Combos (169 Distinct) | 630 Combos (81 Distinct) | -52.5% Fewer Combos | Pocket Pairs Dealt 2.2x More Frequently |
| Dealt Pocket Aces (AA) Frequency | 0.45% (1 In 221 Hands) | 0.95% (1 In 105 Hands) | +111% Frequency Lift | Overpairs Face Frequent Set And Two-Pair Runouts |
| AA Vs. JTs Preflop All-In Equity | 79.6% Vs. 20.4% | 54.4% Vs. 45.6% | -25.2% AA Edge Compression | Suited Connectors Can Profitably Stack Off Preflop |
| 8-Out Open-Ended Straight Draw On Flop | 31.5% Flop-To-River | 48.5% Flop-To-River | +17.0% Draw Completion | OESD Is A Near Coinflip Against Made Top Pair |
| 9-Out Flush Draw On Flop (5 Remaining) | 35.0% Flop-To-River (9 Outs) | 30.5% Flop-To-River (5 Outs) | -4.5% Lower Flush Completion | Flush Draws Have Fewer Outs But Win Superior Rank |
| 7-Card Full House Vs. Flush Frequency | 2.60% FH Vs. 3.03% Flush | 3.26% FH Vs. 1.96% Flush | Flushes 40% Rarer Than FH | Flushes Outrank Full Houses Under Official 6+ Rules |
Frequently Asked Questions
Why Does A Flush Beat A Full House In Short Deck 6+ Hold'em?
Because All 2s, 3s, 4s, And 5s Are Removed From The Deck, Only 9 Cards Of Each Suit Remain Instead Of 13, Making A 5-Card Flush Harder To Make (1.96%) Than A Full House (3.26%).
How Do You Calculate Straight And Flush Draw Odds In Short Deck?
Use The Rule Of 3 And 6 Instead Of 2 And 4: Multiply Your Clean Outs By 3 On The Turn And By 6 On The Flop. An 8-Out Open-Ended Straight Draw Has Roughly 48% Equity On The Flop.
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