A7s
63.13%
Wins 62.84%, ties 0.58%
43s
36.87%
Wins 36.58%, ties 0.58%
A7s against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 62.840 | 0.576 | 36.584 | 63.128 |
| 43s | 36.584 | 0.576 | 62.840 | 36.872 |
A7s meets 43s, and both are suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. 0.58% of boards are ties, so the equity of each hand is its win rate plus half of that.
In the ranking of all 169 starting hands, A7s is number 24 and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A7s | 17,216,000 | 158,000 | 10,023,000 |
| 43s | 10,023,000 | 158,000 | 17,216,000 |
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) |
|---|---|---|---|---|
| A7s | 1.712 | 1.591 | 2.733 | 0.584 |
| 43s | 0.584 | 2.733 | 1.591 | 1.712 |
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
The flop changes the picture. A7s does best on paired flops, at 66.30%, and worst on low rainbow flops (nine high or lower), at 50.27%. 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 | 43s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.034 | 0.259 | 33.707 | 66.163 |
| Rainbow, nine or lower | 5.689 | 49.852 | 0.841 | 49.307 | 50.273 |
| Two-tone | 46.727 | 62.079 | 0.327 | 37.594 | 62.242 |
| Monotone | 5.273 | 58.208 | 3.654 | 38.138 | 60.035 |
| Paired | 17.091 | 65.959 | 0.690 | 33.351 | 66.304 |
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, 38.64% for 43s. Here the change is +2.15 and -1.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 63.128 | 60.984 | +2.144 | 1.03516 |
| A7s, rainbow, ten or higher | 66.163 | 60.984 | +5.179 | 1.08492 |
| A7s, rainbow, nine or lower | 50.273 | 60.984 | -10.711 | 0.82436 |
| A7s, two-tone | 62.242 | 60.984 | +1.258 | 1.02063 |
| A7s, monotone | 60.035 | 60.984 | -0.949 | 0.98444 |
| A7s, paired | 66.304 | 60.984 | +5.320 | 1.08724 |
| 43s, all flops | 36.872 | 38.642 | -1.770 | 0.95419 |
| 43s, rainbow, ten or higher | 33.837 | 38.642 | -4.805 | 0.87565 |
| 43s, rainbow, nine or lower | 49.727 | 38.642 | +11.085 | 1.28686 |
| 43s, two-tone | 37.758 | 38.642 | -0.884 | 0.97712 |
| 43s, monotone | 39.965 | 38.642 | +1.323 | 1.03424 |
| 43s, paired | 33.696 | 38.642 | -4.946 | 0.87200 |
Does a shared suit matter?
The suit split reads 65.51% for A7s with a shared suit and 62.34% without one. A7s does better with a shared suit, by 3.17 points.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 43s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.181 | 0.649 | 34.170 | 65.506 |
| No shared suit | 12 | 75.00 | 62.059 | 0.552 | 37.389 | 62.335 |
How often this matchup comes up
You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A7s' average share is $126.26 (a gain of $26.26) and 43s' is $73.74 (a loss of $26.26).
A thousand deals look like this: A7s takes 628, 43s takes 366, 6 are ties.
The same matchup from the other side
The reversed view, 43s against A7s, shows 36.87% for 43s and 63.13% for A7s. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As7s against 4h3h, 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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