A3s
58.24%
Wins 58.00%, ties 0.48%
QTo
41.76%
Wins 41.52%, ties 0.48%
A3s against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 58.003 | 0.483 | 41.514 | 58.244 |
| QTo | 41.514 | 0.483 | 58.003 | 41.756 |
The first hand is a suited hand; the second is an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A3s is ahead, but QTo is far from dead: it takes 415 of every 1,000 deals outright. A split pot comes up on 0.48% of boards, so the wins and the equity differ by half of that.
The hand ranking puts A3s at 38 and QTo at 47 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 47,673,000 | 397,000 | 34,121,000 |
| QTo | 34,121,000 | 397,000 | 47,673,000 |
Exact total: 48 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) |
|---|---|---|---|---|
| A3s | 1.395 | 1.724 | 2.409 | 0.717 |
| QTo | 0.717 | 2.409 | 1.724 | 1.395 |
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
A3s prefers low rainbow flops (nine high or lower), where it holds 74.31%, and likes rainbow flops topped by a ten or better least, where it holds 50.72%. A3s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A3s wins | Ties | QTo wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.642 | 0.159 | 49.199 | 50.722 |
| Rainbow, nine or lower | 7.042 | 73.840 | 0.932 | 25.228 | 74.306 |
| Two-tone | 46.667 | 57.677 | 0.308 | 42.015 | 57.831 |
| Monotone | 5.212 | 54.093 | 2.399 | 43.508 | 55.292 |
| Paired | 17.091 | 63.888 | 0.645 | 35.467 | 64.211 |
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
Each hand has a baseline against a random hand: 58.22% for A3s, 57.29% for QTo. Here the change is +0.02 and -15.53 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 58.244 | 58.220 | +0.024 | 1.00041 |
| A3s, rainbow, ten or higher | 50.722 | 58.220 | -7.498 | 0.87121 |
| A3s, rainbow, nine or lower | 74.306 | 58.220 | +16.086 | 1.27630 |
| A3s, two-tone | 57.831 | 58.220 | -0.389 | 0.99332 |
| A3s, monotone | 55.292 | 58.220 | -2.928 | 0.94971 |
| A3s, paired | 64.211 | 58.220 | +5.991 | 1.10290 |
| QTo, all flops | 41.756 | 57.291 | -15.535 | 0.72884 |
| QTo, rainbow, ten or higher | 49.278 | 57.291 | -8.013 | 0.86014 |
| QTo, rainbow, nine or lower | 25.694 | 57.291 | -31.597 | 0.44848 |
| QTo, two-tone | 42.169 | 57.291 | -15.122 | 0.73605 |
| QTo, monotone | 44.708 | 57.291 | -12.583 | 0.78037 |
| QTo, paired | 35.789 | 57.291 | -21.502 | 0.62469 |
Does a shared suit matter?
The suit split reads 57.89% for A3s with a shared suit and 58.60% without one. A3s does better with no shared suit, by 0.71 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | QTo wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 57.630 | 0.525 | 41.845 | 57.892 |
| No shared suit | 24 | 50.00 | 58.375 | 0.441 | 41.184 | 58.596 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A3s takes back $116.48 of it, which is $16.48 more than it put in, and QTo takes back $83.52, $16.48 less than it put in.
A thousand deals look like this: A3s takes 580, QTo takes 415, 5 are ties.
The same matchup from the other side
The mirror image, QTo against A3s, is 41.76% to 58.24%, and its address redirects to this page.
Keep exploring
Try As3s against QhTd 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
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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