QTo
61.21%
Wins 60.74%, ties 0.94%
53s
38.79%
Wins 38.32%, ties 0.94%
QTo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.741 | 0.940 | 38.319 | 61.211 |
| 53s | 38.319 | 0.940 | 60.741 | 38.789 |
One side is an offsuit hand, the other is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
QTo is ahead, but 53s is far from dead: it takes 383 of every 1,000 deals outright. A split pot comes up on 0.94% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, QTo is number 47 and 53s is number 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,923,000 | 773,000 | 31,495,000 |
| 53s | 31,495,000 | 773,000 | 49,923,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| QTo | 1.578 | 1.646 | 2.610 | 0.634 |
| 53s | 0.634 | 2.610 | 1.646 | 1.578 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Across the five flop textures QTo's equity moves by 31.94 points, from 37.22% on low rainbow flops (nine high or lower) to 69.16% on rainbow flops topped by a ten or better. On low rainbow flops (nine high or lower) the numbers flip and 53s is the one ahead.
| Flop | Share of flops | QTo wins | Ties | 53s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.913 | 0.488 | 30.599 | 69.157 |
| Rainbow, nine or lower | 6.313 | 36.810 | 0.819 | 62.371 | 37.219 |
| Two-tone | 46.667 | 59.484 | 0.524 | 39.992 | 59.746 |
| Monotone | 5.212 | 58.002 | 2.644 | 39.354 | 59.324 |
| Paired | 17.091 | 62.036 | 2.251 | 35.713 | 63.161 |
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
A random hand would give QTo 57.29% and 53s 39.69%. Against each other the change is +3.92 points for QTo and -0.90 for 53s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 61.211 | 57.291 | +3.920 | 1.06842 |
| QTo, rainbow, ten or higher | 69.157 | 57.291 | +11.866 | 1.20712 |
| QTo, rainbow, nine or lower | 37.219 | 57.291 | -20.072 | 0.64965 |
| QTo, two-tone | 59.746 | 57.291 | +2.455 | 1.04285 |
| QTo, monotone | 59.324 | 57.291 | +2.033 | 1.03549 |
| QTo, paired | 63.161 | 57.291 | +5.870 | 1.10246 |
| 53s, all flops | 38.789 | 39.693 | -0.904 | 0.97723 |
| 53s, rainbow, ten or higher | 30.843 | 39.693 | -8.850 | 0.77704 |
| 53s, rainbow, nine or lower | 62.781 | 39.693 | +23.088 | 1.58166 |
| 53s, two-tone | 40.254 | 39.693 | +0.561 | 1.01413 |
| 53s, monotone | 40.676 | 39.693 | +0.983 | 1.02477 |
| 53s, paired | 36.839 | 39.693 | -2.854 | 0.92810 |
Does a shared suit matter?
Does suit overlap move the numbers? QTo has 61.93% when the hands share a suit and 60.49% when they do not. QTo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 53s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.442 | 0.981 | 37.577 | 61.932 |
| No shared suit | 24 | 50.00 | 60.041 | 0.899 | 39.060 | 60.491 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QTo's average share is $122.42 (a gain of $22.42) and 53s' is $77.58 (a loss of $22.42).
Per 1,000 deals: QTo wins about 608, 53s wins about 383, and about 9 end in a split pot.
The same matchup from the other side
Read it from the other side: 53s against QTo is the same matchup with the numbers swapped, so 53s holds 38.79% and QTo holds 61.21%. That address sends you back to this page.
Keep exploring
Try QsTh against 5d3d 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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