A7s
57.38%
Wins 57.17%, ties 0.42%
JTo
42.62%
Wins 42.41%, ties 0.42%
A7s against JTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 57.169 | 0.422 | 42.409 | 57.380 |
| JTo | 42.409 | 0.422 | 57.169 | 42.620 |
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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.42% of the boards, and both equity figures count them as half a win each.
The hand ranking puts A7s at 24 and JTo at 57 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 46,988,000 | 347,000 | 34,856,000 |
| JTo | 34,856,000 | 347,000 | 46,988,000 |
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) |
|---|---|---|---|---|
| A7s | 1.346 | 1.749 | 2.358 | 0.743 |
| JTo | 0.743 | 2.358 | 1.749 | 1.346 |
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
Across the five flop textures A7s' equity moves by 21.23 points, from 50.31% on rainbow flops topped by a ten or better to 71.54% on low rainbow flops (nine high or lower). A7s 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 | A7s wins | Ties | JTo wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 50.231 | 0.165 | 49.604 | 50.313 |
| Rainbow, nine or lower | 7.042 | 71.255 | 0.574 | 28.171 | 71.542 |
| Two-tone | 46.667 | 56.789 | 0.239 | 42.972 | 56.909 |
| Monotone | 5.212 | 53.384 | 2.349 | 44.267 | 54.558 |
| Paired | 17.091 | 63.296 | 0.632 | 36.072 | 63.612 |
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
Each hand has a baseline against a random hand: 60.98% for A7s, 55.25% for JTo. Here the change is -3.60 and -12.63 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 57.380 | 60.984 | -3.604 | 0.94090 |
| A7s, rainbow, ten or higher | 50.313 | 60.984 | -10.671 | 0.82502 |
| A7s, rainbow, nine or lower | 71.542 | 60.984 | +10.558 | 1.17313 |
| A7s, two-tone | 56.909 | 60.984 | -4.075 | 0.93318 |
| A7s, monotone | 54.558 | 60.984 | -6.426 | 0.89463 |
| A7s, paired | 63.612 | 60.984 | +2.628 | 1.04309 |
| JTo, all flops | 42.620 | 55.248 | -12.628 | 0.77143 |
| JTo, rainbow, ten or higher | 49.687 | 55.248 | -5.561 | 0.89934 |
| JTo, rainbow, nine or lower | 28.458 | 55.248 | -26.790 | 0.51510 |
| JTo, two-tone | 43.091 | 55.248 | -12.157 | 0.77996 |
| JTo, monotone | 45.442 | 55.248 | -9.806 | 0.82251 |
| JTo, paired | 36.388 | 55.248 | -18.860 | 0.65863 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A7s has 57.03% equity, and with none in common it has 57.74%. A7s does better with no shared suit, by 0.71 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | JTo wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.794 | 0.463 | 42.743 | 57.026 |
| No shared suit | 24 | 50.00 | 57.545 | 0.380 | 42.075 | 57.735 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average A7s takes back $114.76 of it, which is $14.76 more than it put in, and JTo takes back $85.24, $14.76 less than it put in.
Think in thousands: about 572 of 1,000 go to A7s, about 424 go to JTo, and about 4 are chopped.
The same matchup from the other side
JTo versus A7s is this same page seen from the other hand: 42.62% for JTo, 57.38% for A7s.
Keep exploring
As7s against JhTd is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 48 specific A7s against JTo 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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