Q9s
63.08%
Wins 62.59%, ties 0.98%
53s
36.92%
Wins 36.43%, ties 0.98%
Q9s against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 62.587 | 0.984 | 36.429 | 63.079 |
| 53s | 36.429 | 0.984 | 62.587 | 36.921 |
This is a contest between two suited hands, Q9s and 53s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.98 are split pots, and the equity figures already include them.
By strength against a random hand, Q9s holds place 43 of 169 and 53s holds place 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 17,147,000 | 270,000 | 9,980,000 |
| 53s | 9,980,000 | 270,000 | 17,147,000 |
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 | 1.708 | 1.598 | 2.745 | 0.585 |
| 53s | 0.585 | 2.745 | 1.598 | 1.708 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
Split by what the flop looks like, Q9s peaks at 66.96% on rainbow flops topped by a ten or better and bottoms out at 47.57% on low rainbow flops (nine high or lower). The lead reverses on low rainbow flops (nine high or lower): there 53s is the favorite even though Q9s is ahead overall.
| Flop | Share of flops | Q9s wins | Ties | 53s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.715 | 0.491 | 32.794 | 66.961 |
| Rainbow, nine or lower | 5.689 | 47.164 | 0.804 | 52.032 | 47.566 |
| Two-tone | 46.727 | 62.190 | 0.505 | 37.305 | 62.443 |
| Monotone | 5.273 | 58.472 | 3.684 | 37.844 | 60.314 |
| Paired | 17.091 | 63.985 | 2.247 | 33.768 | 65.108 |
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
Relative to a random opponent, Q9s changes by +5.42 points (baseline 57.66%) and 53s by -2.77 points (baseline 39.69%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 63.079 | 57.664 | +5.415 | 1.09391 |
| Q9s, rainbow, ten or higher | 66.961 | 57.664 | +9.297 | 1.16123 |
| Q9s, rainbow, nine or lower | 47.566 | 57.664 | -10.098 | 0.82488 |
| Q9s, two-tone | 62.443 | 57.664 | +4.779 | 1.08288 |
| Q9s, monotone | 60.314 | 57.664 | +2.650 | 1.04596 |
| Q9s, paired | 65.108 | 57.664 | +7.444 | 1.12909 |
| 53s, all flops | 36.921 | 39.693 | -2.772 | 0.93016 |
| 53s, rainbow, ten or higher | 33.039 | 39.693 | -6.654 | 0.83236 |
| 53s, rainbow, nine or lower | 52.434 | 39.693 | +12.741 | 1.32099 |
| 53s, two-tone | 37.557 | 39.693 | -2.136 | 0.94619 |
| 53s, monotone | 39.686 | 39.693 | -0.007 | 0.99982 |
| 53s, paired | 34.892 | 39.693 | -4.801 | 0.87905 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and Q9s holds 65.40%. In 12 they do not, and it holds 62.31%. Q9s does better with a shared suit, by 3.09 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 53s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.855 | 1.086 | 34.059 | 65.398 |
| No shared suit | 12 | 75.00 | 61.831 | 0.950 | 37.219 | 62.306 |
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
Try it with money: two players each put in $100 and the whole board runs out every possible way. Q9s averages $126.16 from the $200, up $26.16; 53s averages $73.84, down $26.16.
A thousand deals look like this: Q9s takes 626, 53s takes 364, 10 are ties.
The same matchup from the other side
53s against Q9s adds nothing new: it is 36.92% for 53s and 63.08% for Q9s, the same figures reversed.
Keep exploring
The calculator link fills in Qs9s against 5h3h, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Nothing here is simulated. The 16 deals of Q9s against 53s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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