Q9s
62.16%
Wins 61.66%, ties 0.98%
54s
37.84%
Wins 37.36%, ties 0.98%
Q9s against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 61.663 | 0.983 | 37.354 | 62.155 |
| 54s | 37.354 | 0.983 | 61.663 | 37.845 |
The matchup is suited hands on both sides, Q9s against 54s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.98%: on those boards the pot is chopped and neither hand wins outright.
Q9s ranks number 43 of 169 starting hands, and 54s ranks number 136, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 16,894,000 | 269,000 | 10,234,000 |
| 54s | 10,234,000 | 269,000 | 16,894,000 |
The board total is exact, 16 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 | 1.642 | 1.622 | 2.677 | 0.609 |
| 54s | 0.609 | 2.677 | 1.622 | 1.642 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Q9s prefers rainbow flops topped by a ten or better, where it holds 66.10%, and likes low rainbow flops (nine high or lower) least, where it holds 45.85%. 54s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | Q9s wins | Ties | 54s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 65.853 | 0.491 | 33.656 | 66.099 |
| Rainbow, nine or lower | 5.689 | 45.444 | 0.804 | 53.752 | 45.846 |
| Two-tone | 46.727 | 61.294 | 0.505 | 38.201 | 61.546 |
| Monotone | 5.273 | 57.817 | 3.676 | 38.507 | 59.655 |
| Paired | 17.091 | 63.076 | 2.243 | 34.681 | 64.197 |
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
A random hand would give Q9s 57.66% and 54s 41.45%. Against each other the change is +4.50 points for Q9s and -3.61 for 54s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 62.155 | 57.664 | +4.491 | 1.07788 |
| Q9s, rainbow, ten or higher | 66.099 | 57.664 | +8.435 | 1.14628 |
| Q9s, rainbow, nine or lower | 45.846 | 57.664 | -11.818 | 0.79505 |
| Q9s, two-tone | 61.546 | 57.664 | +3.882 | 1.06732 |
| Q9s, monotone | 59.655 | 57.664 | +1.991 | 1.03453 |
| Q9s, paired | 64.197 | 57.664 | +6.533 | 1.11329 |
| 54s, all flops | 37.845 | 41.453 | -3.608 | 0.91296 |
| 54s, rainbow, ten or higher | 33.901 | 41.453 | -7.552 | 0.81782 |
| 54s, rainbow, nine or lower | 54.154 | 41.453 | +12.701 | 1.30640 |
| 54s, two-tone | 38.454 | 41.453 | -2.999 | 0.92765 |
| 54s, monotone | 40.345 | 41.453 | -1.108 | 0.97327 |
| 54s, paired | 35.803 | 41.453 | -5.650 | 0.86370 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common Q9s has 64.36% equity, and with none in common it has 61.42%. Q9s does better with a shared suit, by 2.94 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 54s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.813 | 1.085 | 35.102 | 64.356 |
| No shared suit | 12 | 75.00 | 60.946 | 0.949 | 38.105 | 61.421 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. Q9s is worth $124.32 on average (+$24.32); 54s is worth $75.68 (-$24.32).
Think in thousands: about 617 of 1,000 go to Q9s, about 373 go to 54s, and about 10 are chopped.
The same matchup from the other side
The reversed view, 54s against Q9s, shows 37.84% for 54s and 62.16% for Q9s. It is the same count, so it redirects here.
Keep exploring
Qs9s against 5h4h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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