Pair Of Threes vs King Nine Suited - Odds Of Winning
Win Probability
Equity
  |
  |
|
|---|---|---|
| Pair Of Threes (33) | King Nine Suited (K9s) | |
| 49.70% | Win | 49.53% |
| 0.77% | Tie | 0.77% |
| 50.09% | Equity | 49.91% |
Pair Of Threes vs King Nine Suited - Limit Poker Hand Ratings
  |
  |
|
|---|---|---|
| Pair Of Threes | King Nine Suited | |
| 7 | Sklansky Rating What is this? | 6 |
| 2 | Chen Formula What is this? | 4 |
| 4 | Hellmuth Tier What is this? | - |
| -0.07 | Expected Value What is this? | 0.09 |
Pair Of Threes vs King Nine Suited - Winning Hand Breakdown
| |
|
|
|---|---|---|
| Pair Of Threes | King Nine Suited | |
| 0 | High Card | 0 |
| 6,666,480 | One Pair | 4,305,420 |
| 7,781,724 | Two Pair | 6,786,288 |
| 1,062,432 | Three Of A Kind | 4,506,516 |
| 1,559,016 | Straight | 522,612 |
| 2,332,500 | Flush | 642,492 |
| 939,600 | Full House | 3,219,768 |
| 56,496 | Four Of A Kind | 364,248 |
| 26,856 | Straight Flush | 6,192 |
Strategic Breakdown: 33 vs K9s
33 enters this matchup as the pre-flop favorite with 50.09% equity, while K9s trails at 49.91% (with 0.77% tie probability).
Pre-Flop Equity Distribution
- 33 Direct Win: 49.7%
- K9s Direct Win: 49.53%
- Split Pot / Tie: 0.77%
- Statistical Edge: +0.18% for 33
Flop Probability Benchmarks
- Set-Mining (Pocket Pairs): 11.8% to flop a set (7.5 to 1 against).
- Flopping a Flush (Suited): 0.84% (118 to 1); Flush draw: 10.9% (8 to 1).
- Connecting on Flop (Unpaired): ~32.4% chance to pair at least one hole card.
- Variance Rating: High Variance (Coin Flip)
Frequently Asked Questions: 33 vs K9s
Who is favored to win between 33 and K9s?
33 holds the statistical advantage with 50.09% equity and a 49.7% win rate. K9s has 49.91% equity and wins 49.53% of the time, with a 0.77% chance of splitting the pot.
How does this matchup change on the flop?
Pre-flop equities represent full five-card river run-outs across all 1.7 million combinatorial boards. However, the three-card flop accounts for roughly 71% of a hand's final texture. When the flop brings cards that coordinate with the underdog's holdings (such as straight or flush draws, or hitting an overcard), the trailing hand's equity can surge past 65–75% on the turn.
What is the probability of a split pot or bad beat?
In this exact matchup, the tie probability is 0.77%. The underdog has a direct win probability of 49.53%, meaning the trailing hand will overturn the favorite roughly 1 in every 2.0 showdowns.
How should you play this matchup in tournaments vs cash games?
In deep-stacked cash games (100bb+), position and post-flop implied odds dictate whether calling pre-flop raises is profitable. In tournament play with shallower stack depths (under 25bb), stack-to-pot ratios (SPR) shrink dramatically, making all-in shoves and 3-bet commitments mathematically dictated by pre-flop push/fold equity rather than post-flop maneuvering.
