Q9s
63.06%
Wins 62.59%, ties 0.95%
75s
36.94%
Wins 36.46%, ties 0.95%
Q9s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 62.585 | 0.949 | 36.466 | 63.060 |
| 75s | 36.466 | 0.949 | 62.585 | 36.940 |
Both hands are suited hands: Q9s and 75s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Of every 100 boards, about 0.95 are split pots, and the equity figures already include them.
For context, Q9s sits at number 43 of 169 starting hands and 75s at number 124 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 17,146,000 | 260,000 | 9,991,000 |
| 75s | 9,991,000 | 260,000 | 17,146,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| Q9s | 1.707 | 1.598 | 2.742 | 0.586 |
| 75s | 0.586 | 2.742 | 1.598 | 1.707 |
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
Split by what the flop looks like, Q9s peaks at 67.61% on rainbow flops topped by a ten or better and bottoms out at 45.04% on low rainbow flops (nine high or lower). Low rainbow flops (nine high or lower) favor 75s, the hand that is behind overall.
| Flop | Share of flops | Q9s wins | Ties | 75s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 67.357 | 0.497 | 32.146 | 67.605 |
| Rainbow, nine or lower | 5.689 | 44.769 | 0.551 | 54.680 | 45.044 |
| Two-tone | 46.727 | 62.237 | 0.467 | 37.296 | 62.471 |
| Monotone | 5.273 | 58.451 | 3.568 | 37.981 | 60.235 |
| Paired | 17.091 | 63.702 | 2.257 | 34.041 | 64.830 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +5.40 points for Q9s, from 57.66%, and -6.74 for 75s, from 43.68%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 63.060 | 57.664 | +5.396 | 1.09358 |
| Q9s, rainbow, ten or higher | 67.605 | 57.664 | +9.941 | 1.17240 |
| Q9s, rainbow, nine or lower | 45.044 | 57.664 | -12.620 | 0.78115 |
| Q9s, two-tone | 62.471 | 57.664 | +4.807 | 1.08336 |
| Q9s, monotone | 60.235 | 57.664 | +2.571 | 1.04459 |
| Q9s, paired | 64.830 | 57.664 | +7.166 | 1.12427 |
| 75s, all flops | 36.940 | 43.676 | -6.736 | 0.84577 |
| 75s, rainbow, ten or higher | 32.395 | 43.676 | -11.281 | 0.74171 |
| 75s, rainbow, nine or lower | 54.956 | 43.676 | +11.280 | 1.25827 |
| 75s, two-tone | 37.529 | 43.676 | -6.147 | 0.85926 |
| 75s, monotone | 39.765 | 43.676 | -3.911 | 0.91045 |
| 75s, paired | 35.170 | 43.676 | -8.506 | 0.80525 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and Q9s holds 65.42%. In 12 they do not, and it holds 62.27%. Q9s does better with a shared suit, by 3.15 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 75s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.895 | 1.050 | 34.055 | 65.420 |
| No shared suit | 12 | 75.00 | 61.815 | 0.915 | 37.270 | 62.273 |
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
Take a $200 pot built from $100 each. Q9s' equity of 63.06% is worth $126.12, a $26.12 edge, and 75s' 36.94% is worth $73.88, which is $26.12 under its stake.
In 1,000 deals of exactly this matchup, expect about 626 won outright by Q9s, about 365 won outright by 75s and about 9 split.
The same matchup from the other side
75s against Q9s adds nothing new: it is 36.94% for 75s and 63.06% for Q9s, the same figures reversed.
Keep exploring
Try Qs9s against 7h5h in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
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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