A6s
59.75%
Wins 59.50%, ties 0.51%
75s
40.25%
Wins 39.99%, ties 0.51%
A6s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 59.496 | 0.511 | 39.993 | 59.751 |
| 75s | 39.993 | 0.511 | 59.496 | 40.249 |
This is a contest between two suited hands, A6s and 75s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 19.50 point lead is real, and 75s still takes about 400 of every 1,000 deals outright. Ties are part of the picture: 0.51% of boards end in a split pot, and each side counts that as half a win.
A6s ranks number 31 of 169 starting hands, and 75s ranks number 124, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 16,300,000 | 140,000 | 10,957,000 |
| 75s | 10,957,000 | 140,000 | 16,300,000 |
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) |
|---|---|---|---|---|
| A6s | 1.485 | 1.681 | 2.500 | 0.674 |
| 75s | 0.674 | 2.500 | 1.681 | 1.485 |
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
Break the boards down by their first three cards and A6s is strongest on paired flops (64.27%) and weakest on low rainbow flops (nine high or lower) (41.03%). 75s is ahead on low rainbow flops (nine high or lower), even though it trails A6s when every flop is counted.
| Flop | Share of flops | A6s wins | Ties | 75s wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 63.427 | 0.229 | 36.344 | 63.541 |
| Rainbow, nine or lower | 5.689 | 40.741 | 0.575 | 58.684 | 41.028 |
| Two-tone | 46.727 | 58.528 | 0.265 | 41.207 | 58.661 |
| Monotone | 5.273 | 55.123 | 3.437 | 41.440 | 56.841 |
| Paired | 17.091 | 63.934 | 0.673 | 35.393 | 64.271 |
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
Against one random hand instead, A6s holds 59.91% and 75s holds 43.68%. Facing each other changes that by -0.16 points for A6s and -3.43 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 59.751 | 59.906 | -0.155 | 0.99741 |
| A6s, rainbow, ten or higher | 63.541 | 59.906 | +3.635 | 1.06068 |
| A6s, rainbow, nine or lower | 41.028 | 59.906 | -18.878 | 0.68487 |
| A6s, two-tone | 58.661 | 59.906 | -1.245 | 0.97922 |
| A6s, monotone | 56.841 | 59.906 | -3.065 | 0.94884 |
| A6s, paired | 64.271 | 59.906 | +4.365 | 1.07286 |
| 75s, all flops | 40.249 | 43.676 | -3.427 | 0.92154 |
| 75s, rainbow, ten or higher | 36.459 | 43.676 | -7.217 | 0.83476 |
| 75s, rainbow, nine or lower | 58.972 | 43.676 | +15.296 | 1.35022 |
| 75s, two-tone | 41.339 | 43.676 | -2.337 | 0.94649 |
| 75s, monotone | 43.159 | 43.676 | -0.517 | 0.98816 |
| 75s, paired | 35.729 | 43.676 | -7.947 | 0.81805 |
Does a shared suit matter?
Two kinds of deal exist here. In 4 of them the hands share a suit and A6s holds 61.89%. In 12 they do not, and it holds 59.04%. A6s does better with a shared suit, by 2.85 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | 75s wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 61.597 | 0.587 | 37.816 | 61.890 |
| No shared suit | 12 | 75.00 | 58.796 | 0.485 | 40.719 | 59.038 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are A6s in one seat and 75s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A6s' average share is $119.50 (a gain of $19.50) and 75s' is $80.50 (a loss of $19.50).
Run 1,000 deals and the tally comes out near 595 for A6s, 400 for 75s and 5 ties.
The same matchup from the other side
75s versus A6s is this same page seen from the other hand: 40.25% for 75s, 59.75% for A6s.
Keep exploring
Try As6s against 7h5h 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 16 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.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session