Q9s
63.54%
Wins 63.04%, ties 1.00%
43s
36.46%
Wins 35.96%, ties 1.00%
Q9s against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 63.038 | 0.998 | 35.964 | 63.537 |
| 43s | 35.964 | 0.998 | 63.038 | 36.463 |
Here suited hands face each other, Q9s on one side and 43s on the other. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
Q9s is ahead, but 43s is far from dead: it takes 360 of every 1,000 deals outright. Split pots make up 1.00% of the boards, and both equity figures count them as half a win each.
Among the 169 starting hands, Q9s is number 43 and 43s is number 150 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 17,270,000 | 273,000 | 9,853,000 |
| 43s | 9,853,000 | 273,000 | 17,270,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| Q9s | 1.743 | 1.586 | 2.781 | 0.574 |
| 43s | 0.574 | 2.781 | 1.586 | 1.743 |
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 67.19% on rainbow flops topped by a ten or better and bottoms out at 49.52% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 43s is the one ahead.
| Flop | Share of flops | Q9s wins | Ties | 43s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.940 | 0.491 | 32.569 | 67.186 |
| Rainbow, nine or lower | 5.689 | 49.089 | 0.870 | 50.041 | 49.524 |
| Two-tone | 46.727 | 62.659 | 0.514 | 36.827 | 62.916 |
| Monotone | 5.273 | 58.811 | 3.779 | 37.410 | 60.700 |
| Paired | 17.091 | 64.264 | 2.251 | 33.485 | 65.390 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Against one random hand instead, Q9s holds 57.66% and 43s holds 38.64%. Facing each other changes that by +5.88 points for Q9s and -2.18 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 63.537 | 57.664 | +5.873 | 1.10185 |
| Q9s, rainbow, ten or higher | 67.186 | 57.664 | +9.522 | 1.16513 |
| Q9s, rainbow, nine or lower | 49.524 | 57.664 | -8.140 | 0.85884 |
| Q9s, two-tone | 62.916 | 57.664 | +5.252 | 1.09108 |
| Q9s, monotone | 60.700 | 57.664 | +3.036 | 1.05265 |
| Q9s, paired | 65.390 | 57.664 | +7.726 | 1.13398 |
| 43s, all flops | 36.463 | 38.642 | -2.179 | 0.94361 |
| 43s, rainbow, ten or higher | 32.814 | 38.642 | -5.828 | 0.84918 |
| 43s, rainbow, nine or lower | 50.476 | 38.642 | +11.834 | 1.30625 |
| 43s, two-tone | 37.084 | 38.642 | -1.558 | 0.95968 |
| 43s, monotone | 39.300 | 38.642 | +0.658 | 1.01703 |
| 43s, paired | 34.610 | 38.642 | -4.032 | 0.89566 |
Does a shared suit matter?
Does suit overlap move the numbers? Q9s has 65.90% when the hands share a suit and 62.75% when they do not. Q9s does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 43s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.349 | 1.096 | 33.555 | 65.897 |
| No shared suit | 12 | 75.00 | 62.268 | 0.965 | 36.767 | 62.750 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
Take a $200 pot built from $100 each. Q9s' equity of 63.54% is worth $127.08, a $27.08 edge, and 43s' 36.46% is worth $72.92, which is $27.08 under its stake.
Over a long run, 1,000 deals split into about 630 for Q9s, 360 for 43s and 10 tied.
The same matchup from the other side
Read it from the other side: 43s against Q9s is the same matchup with the numbers swapped, so 43s holds 36.46% and Q9s holds 63.54%. That address sends you back to this page.
Keep exploring
Open the calculator with Qs9s against 4h3h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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