Q9s
63.25%
Wins 62.77%, ties 0.95%
64s
36.75%
Wins 36.28%, ties 0.95%
Q9s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| Q9s | 62.771 | 0.950 | 36.279 | 63.246 |
| 64s | 36.279 | 0.950 | 62.771 | 36.754 |
Here suited hands face each other, Q9s on one side and 64s on the other. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 0.95% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, Q9s is number 43 and 64s is number 138 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| Q9s | 17,197,000 | 260,000 | 9,939,000 |
| 64s | 9,939,000 | 260,000 | 17,197,000 |
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 | 1.721 | 1.593 | 2.756 | 0.581 |
| 64s | 0.581 | 2.756 | 1.593 | 1.721 |
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
Q9s prefers rainbow flops topped by a ten or better, where it holds 67.58%, and likes low rainbow flops (nine high or lower) least, where it holds 46.27%. Low rainbow flops (nine high or lower) favor 64s, the hand that is behind overall.
| Flop | Share of flops | Q9s wins | Ties | 64s wins | Q9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 67.346 | 0.460 | 32.194 | 67.576 |
| Rainbow, nine or lower | 5.689 | 45.923 | 0.699 | 53.378 | 46.273 |
| Two-tone | 46.727 | 62.444 | 0.465 | 37.091 | 62.677 |
| Monotone | 5.273 | 58.669 | 3.596 | 37.735 | 60.467 |
| Paired | 17.091 | 63.785 | 2.265 | 33.950 | 64.918 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +5.59 points for Q9s, from 57.66%, and -4.58 for 64s, from 41.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| Q9s, all flops | 63.246 | 57.664 | +5.582 | 1.09680 |
| Q9s, rainbow, ten or higher | 67.576 | 57.664 | +9.912 | 1.17189 |
| Q9s, rainbow, nine or lower | 46.273 | 57.664 | -11.391 | 0.80246 |
| Q9s, two-tone | 62.677 | 57.664 | +5.013 | 1.08693 |
| Q9s, monotone | 60.467 | 57.664 | +2.803 | 1.04861 |
| Q9s, paired | 64.918 | 57.664 | +7.254 | 1.12580 |
| 64s, all flops | 36.754 | 41.333 | -4.579 | 0.88922 |
| 64s, rainbow, ten or higher | 32.424 | 41.333 | -8.909 | 0.78446 |
| 64s, rainbow, nine or lower | 53.727 | 41.333 | +12.394 | 1.29986 |
| 64s, two-tone | 37.323 | 41.333 | -4.010 | 0.90298 |
| 64s, monotone | 39.533 | 41.333 | -1.800 | 0.95645 |
| 64s, paired | 35.082 | 41.333 | -6.251 | 0.84876 |
Does a shared suit matter?
Does suit overlap move the numbers? Q9s has 65.59% when the hands share a suit and 62.47% when they do not. Q9s does better with a shared suit, by 3.12 points.
| Deals | Specific deals | Share of deals | Q9s wins | Ties | 64s wins | Q9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.061 | 1.050 | 33.889 | 65.586 |
| No shared suit | 12 | 75.00 | 62.008 | 0.916 | 37.076 | 62.466 |
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 $126.50 on average (+$26.50); 64s is worth $73.50 (-$26.50).
Think in thousands: about 628 of 1,000 go to Q9s, about 363 go to 64s, and about 9 are chopped.
The same matchup from the other side
64s versus Q9s is this same page seen from the other hand: 36.75% for 64s, 63.25% for Q9s.
Keep exploring
The calculator link fills in Qs9s against 6h4h, 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
We counted every case. Each suit pattern of the 16 specific Q9s against 64s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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