Poker Starting Hand Odds Calculator
Calculate the probability of being dealt specific Texas Hold'em starting hands and your approximate win rate against a field of opponents.
The 1,326 starting hand math
A standard 52-card deck dealt 2 cards to a player produces C(52,2) = 1,326 possible starting hand combinations. Texas Hold’em uses these as the foundation of all subsequent decisions.
The 1,326 combinations reduce to 169 unique hand “types” by ignoring suit symmetry (suited vs offsuit matters; specific suits don’t). Of these 169:
- 13 pocket pairs (AA, KK, QQ, …, 22)
- 78 suited combinations (AKs, AQs, …, 32s)
- 78 offsuit combinations (AKo, AQo, …, 32o)
The exact number of combinations for each hand type:
| Hand type | Combinations | Probability dealt |
|---|---|---|
| Specific pocket pair (e.g., AA) | 6 | 0.45% (1 in 221) |
| Any pocket pair | 78 | 5.88% (1 in 17) |
| Specific suited hand (e.g., AKs) | 4 | 0.30% (1 in 332) |
| Specific offsuit hand (e.g., AKo) | 12 | 0.90% (1 in 111) |
| Any “Big Slick” (AK total) | 16 | 1.21% (1 in 83) |
| Any pair of aces or kings | 12 | 0.90% |
| Any “premium” hand (top 5%) | 67 | 5.05% |
| Any suited cards | 312 | 23.5% |
| Any “playable” hand (top 20%) | 265 | 20.0% |
You’ll get a pocket pair every 17 hands on average. Pocket aces specifically come about once every 221 hands — so in a 100-hand session, you’re more likely than not to never see them.
Sklansky’s groupings — the classic starting hand rankings
David Sklansky’s Theory of Poker (1987) grouped the 169 hands into 8 categories:
| Group | Hands | Description |
|---|---|---|
| 1 | AA, KK, QQ, JJ, AKs | Premium — always play, often raise |
| 2 | TT, AQs, AJs, KQs, AKo | Strong — play and raise from most positions |
| 3 | 99, JTs, QJs, KJs, ATs, AQo | Strong from late position, careful from early |
| 4 | T9s, KQo, 88, QTs, 98s, J9s, AJo, KTs | Speculative; suited connectors and broadway |
| 5 | 77, 87s, Q9s, T8s, KJo, QJo, JTo, 76s, 97s, A8s-A2s | Marginal; suit and position dependent |
| 6 | 66, AXo (not AT or AJ), 65s, 54s, KTo, J8s, 75s | Often fold unless suited or in good position |
| 7-8 | Everything else | Trash — fold preflop in almost all situations |
Modern poker has moved beyond strict Sklansky groups (with deeper position-based analysis), but the framework remains a useful teaching tool.
Heads-up win rates (preflop, all-in)
When two hands run out to showdown, expected win rates (no further skill involved):
| Your hand | vs Random | vs Top 20% | vs Top 5% |
|---|---|---|---|
| AA | 85% | 81% | 78% |
| KK | 82% | 75% | 65% |
| 80% | 72% | 60% | |
| JJ | 77% | 65% | 50% |
| TT | 75% | 60% | 45% |
| AKs | 67% | 55% | 45% |
| AKo | 65% | 53% | 43% |
| 99 | 72% | 55% | 40% |
| 88 | 69% | 48% | 33% |
| 77 | 66% | 45% | 28% |
| Suited connectors (e.g., T9s) | 57% | 45% | 35% |
| Low pair (e.g., 22) | 50% | 35% | 25% |
| Random 2 cards | 50% | 30% | 18% |
A few non-obvious patterns:
- AKs vs JJ: AK is a slight favorite (~52%) — the “race”
- Low pair (22) vs AK: ~52% to the pair — also a “race”
- Strong pair vs suited connectors: about 80% to the pair
The “race” between any underpair and overcards (AK vs JJ, 88 vs AK) is essentially 50-50, varying ±3% based on specific cards.
Multi-way pots dramatically reduce winning hand expectations
In a 6-handed all-in situation:
| Hand | vs 1 opponent | vs 3 opponents | vs 5 opponents |
|---|---|---|---|
| AA | 85% | 64% | 49% |
| KK | 82% | 56% | 39% |
| 80% | 50% | 34% | |
| JJ | 77% | 45% | 28% |
| TT | 75% | 40% | 24% |
| Random | 50% | 25% | 17% |
Even pocket aces win less than half the time against 5 opponents going to showdown — because every opponent has some chance to outdraw you. This is why aggressive raising preflop is so important with premium hands: you want to thin the field to 1-2 opponents where AA’s advantage is real.
Post-flop hand equity (drawing hands)
After the flop, certain hands have specific equity to improve:
| Draw | Outs | Turn % | River % (turn+river) |
|---|---|---|---|
| Gutshot straight | 4 | 8.5% | 16.5% |
| Open-ended straight | 8 | 17% | 31.5% |
| Flush draw | 9 | 19% | 35% |
| Flush + gutshot | 12 | 25.5% | 45% |
| Flush + open-ended | 15 | 32% | 54% |
| Two pair to full house | 4 | 8.5% | 16.5% |
| Pair to set (set mining) | 2 | 4% | 8.4% |
| Two overcards | 6 | 12.5% | 24% |
The “rule of 4 and 2”: multiply outs by 4 on the flop (for turn+river combined), by 2 on the turn (for river only). It’s accurate to within 1-2% for most hands.
Pot odds — the second pillar of poker math
Pot odds tell you whether a call is profitable:
Pot odds = Amount to call ÷ (Pot + Amount to call)
If you face a $20 bet into a $40 pot, pot odds = $20 ÷ $60 = 33%. You need at least 33% equity to call profitably.
A flush draw (35% equity by river) facing a 33% pot odds is a slight call. Facing 40% pot odds is a fold.
Implied odds — the deeper consideration
Pot odds assume the rest of the hand plays passively. Implied odds account for additional money you can win if you hit your draw. A draw with 25% equity facing 33% pot odds is unprofitable on pot odds alone, but if you’ll win another $50 on later streets when you hit, the implied odds make it profitable.
This is why deep-stacked play (small stacks relative to pot) favors implied-odds-heavy plays (suited connectors, set mining), while short-stack play favors pure equity plays (high pairs, AK).
Position is enormously valuable
Two identical hands have very different EV depending on position. From later positions, you have:
- More information about opponents’ decisions
- Better bluffing opportunities
- Pot control on later streets
- Bigger bluffs that fold out marginal hands
The same 88 from UTG (under the gun, first to act) loses money on average; from button (last to act), it’s profitable. Modern poker theory weights position almost as heavily as raw hand strength.
Hand reading and ranges
Skilled players don’t think “what hand does my opponent have?” — they think “what range of hands could my opponent have here?” A range might be “the top 20% of starting hands, plus some suited connectors, plus rare bluffs.” Then you adjust as the hand progresses based on the opponent’s bets and actions.
GTO (Game Theory Optimal) solvers, run on modern computers, generate near-optimal ranges for every situation. Top players study these to refine their decisions.
Bottom line
There are 1,326 possible Texas Hold’em starting hands, reducing to 169 unique types. Pocket aces come every 221 hands; any pair every 17. Sklansky’s groupings categorize hands by strength. Heads-up, AA wins ~85%; against 5 opponents, only 49%. Apply the “rule of 4 and 2” for drawing equity. Pot odds + implied odds drive call/fold decisions. Position matters enormously. Modern study uses GTO solvers and range analysis.