Q9s
51.71%
Wins 51.12%, ties 1.18%
22
48.29%
Wins 47.70%, ties 1.18%
Q9s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 51.119 | 1.176 | 47.705 | 51.707 |
| 22 | 47.705 | 1.176 | 51.119 | 48.293 |
The first hand is a suited hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
This is close to even money, with Q9s a little ahead. Split pots make up 1.18% of the boards, and both equity figures count them as half a win each.
Ranked by equity against a random hand, Q9s is number 43 of the 169 starting hands and 22 is number 87.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 21,008,000 | 483,000 | 19,605,000 |
| 22 | 19,605,000 | 483,000 | 21,008,000 |
The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| Q9s | 1.071 | 1.956 | 2.096 | 0.934 |
| 22 | 0.934 | 2.096 | 1.956 | 1.071 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Split by what the flop looks like, Q9s peaks at 52.62% on two-tone flops and bottoms out at 42.70% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 22 holds the better equity.
| Flop | Share of flops | Q9s wins | Ties | 22 wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 52.114 | 0.575 | 47.311 | 52.401 |
| Rainbow, nine or lower | 5.689 | 42.179 | 1.042 | 56.779 | 42.700 |
| Two-tone | 46.545 | 52.306 | 0.623 | 47.071 | 52.617 |
| Monotone | 5.212 | 49.398 | 3.948 | 46.654 | 51.372 |
| Paired | 17.334 | 49.938 | 2.746 | 47.316 | 51.311 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -5.95 points for Q9s, from 57.66%, and -2.04 for 22, from 50.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 51.707 | 57.664 | -5.957 | 0.89669 |
| Q9s, rainbow, ten or higher | 52.401 | 57.664 | -5.263 | 0.90873 |
| Q9s, rainbow, nine or lower | 42.700 | 57.664 | -14.964 | 0.74050 |
| Q9s, two-tone | 52.617 | 57.664 | -5.047 | 0.91248 |
| Q9s, monotone | 51.372 | 57.664 | -6.292 | 0.89089 |
| Q9s, paired | 51.311 | 57.664 | -6.353 | 0.88983 |
| 22, all flops | 48.293 | 50.334 | -2.041 | 0.95945 |
| 22, rainbow, ten or higher | 47.599 | 50.334 | -2.735 | 0.94566 |
| 22, rainbow, nine or lower | 57.300 | 50.334 | +6.966 | 1.13840 |
| 22, two-tone | 47.383 | 50.334 | -2.951 | 0.94137 |
| 22, monotone | 48.628 | 50.334 | -1.706 | 0.96611 |
| 22, paired | 48.689 | 50.334 | -1.645 | 0.96732 |
Does a shared suit matter?
The suit split reads 51.53% for Q9s with a shared suit and 51.88% without one. Q9s does better with no shared suit, by 0.35 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 22 wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 50.936 | 1.196 | 47.868 | 51.534 |
| No shared suit | 12 | 50.00 | 51.303 | 1.155 | 47.542 | 51.880 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. Q9s averages $103.42 from the $200, up $3.42; 22 averages $96.58, down $3.42.
Per 1,000 deals: Q9s wins about 511, 22 wins about 477, and about 12 end in a split pot.
The same matchup from the other side
22 against Q9s adds nothing new: it is 48.29% for 22 and 51.71% for Q9s, the same figures reversed.
Keep exploring
Qs9s against 2h2d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
This is an exact count with no sampling. For the 24 ways to deal one Q9s and one 22 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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