King Three Unsuited vs King Nine Unsuited - Odds Of Winning
Win Probability
Equity
  |
  |
|
|---|---|---|
| King Three Unsuited (K3o) | King Nine Unsuited (K9o) | |
| 22.63% | Win | 62.10% |
| 15.28% | Tie | 15.28% |
| 30.26% | Equity | 69.74% |
King Three Unsuited vs King Nine Unsuited - Limit Poker Hand Ratings
  |
  |
|
|---|---|---|
| King Three Unsuited | King Nine Unsuited | |
| - | Sklansky Rating What is this? | 8 |
| 3 | Chen Formula What is this? | 4 |
| - | Hellmuth Tier What is this? | - |
| -0.14 | Expected Value What is this? | -0.07 |
King Three Unsuited vs King Nine Unsuited - Winning Hand Breakdown
| |
|
|
|---|---|---|
| King Three Unsuited | King Nine Unsuited | |
| 0 | High Card | 21,129,120 |
| 15,583,488 | One Pair | 53,947,320 |
| 15,884,532 | Two Pair | 23,931,252 |
| 3,100,200 | Three Of A Kind | 4,473,000 |
| 2,458,944 | Straight | 6,087,060 |
| 2,640,420 | Flush | 2,953,800 |
| 2,044,440 | Full House | 2,180,196 |
| 106,920 | Four Of A Kind | 106,920 |
| 21,780 | Straight Flush | 31,068 |
Strategic Breakdown: K3o vs K9o
K9o enters this matchup as the pre-flop favorite with 69.74% equity, while K3o trails at 30.26% (with 15.28% tie probability).
Pre-Flop Equity Distribution
- K3o Direct Win: 22.63%
- K9o Direct Win: 62.1%
- Split Pot / Tie: 15.28%
- Statistical Edge: +39.48% for K9o
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: Moderate Variance
Frequently Asked Questions: K3o vs K9o
Who is favored to win between K3o and K9o?
K9o holds the statistical advantage with 69.74% equity and a 62.1% win rate. K3o has 30.26% equity and wins 22.63% of the time, with a 15.28% 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 15.28%. The underdog has a direct win probability of 22.63%, meaning the trailing hand will overturn the favorite roughly 1 in every 4.4 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.
