Queen Three Suited vs King Nine Unsuited - Odds Of Winning
Win Probability
Equity
  |
  |
|
|---|---|---|
| Queen Three Suited (Q3s) | King Nine Unsuited (K9o) | |
| 38.81% | Win | 60.48% |
| 0.70% | Tie | 0.70% |
| 39.17% | Equity | 60.83% |
Queen Three Suited vs King Nine Unsuited - Limit Poker Hand Ratings
  |
  |
|
|---|---|---|
| Queen Three Suited | King Nine Unsuited | |
| - | Sklansky Rating What is this? | 8 |
| 2 | Chen Formula What is this? | 4 |
| - | Hellmuth Tier What is this? | - |
| -0.11 | Expected Value What is this? | -0.07 |
Queen Three Suited vs King Nine Unsuited - Winning Hand Breakdown
| |
|
|
|---|---|---|
| Queen Three Suited | King Nine Unsuited | |
| 0 | High Card | 4,326,840 |
| 9,412,920 | One Pair | 21,597,552 |
| 11,458,044 | Two Pair | 14,568,948 |
| 2,485,368 | Three Of A Kind | 3,156,912 |
| 1,750,392 | Straight | 2,719,224 |
| 4,955,508 | Flush | 1,412,508 |
| 1,734,048 | Full House | 1,804,224 |
| 95,040 | Four Of A Kind | 111,216 |
| 10,368 | Straight Flush | 12,432 |
Strategic Breakdown: Q3s vs K9o
K9o enters this matchup as the pre-flop favorite with 60.83% equity, while Q3s trails at 39.17% (with 0.7% tie probability).
Pre-Flop Equity Distribution
- Q3s Direct Win: 38.81%
- K9o Direct Win: 60.48%
- Split Pot / Tie: 0.7%
- Statistical Edge: +21.66% 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: Q3s vs K9o
Who is favored to win between Q3s and K9o?
K9o holds the statistical advantage with 60.83% equity and a 60.48% win rate. Q3s has 39.17% equity and wins 38.81% of the time, with a 0.7% 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 0.7%. The underdog has a direct win probability of 38.81%, meaning the trailing hand will overturn the favorite roughly 1 in every 2.6 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.
