A5s
68.29%
Wins 67.27%, ties 2.05%
75s
31.71%
Wins 30.68%, ties 2.05%
A5s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 67.270 | 2.047 | 30.683 | 68.293 |
| 75s | 30.683 | 2.047 | 67.270 | 31.707 |
The matchup is suited hands on both sides, A5s against 75s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
That is a clear edge, 68.29% to 31.71%, but 75s still wins often enough that one hand proves nothing. The tie share is 2.05%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, A5s holds place 30 of 169 and 75s holds place 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 13,822,000 | 421,000 | 6,305,000 |
| 75s | 6,305,000 | 421,000 | 13,822,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| A5s | 2.154 | 1.487 | 3.259 | 0.464 |
| 75s | 0.464 | 3.259 | 1.487 | 2.154 |
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 A5s' equity moves by 22.54 points, from 50.69% on low rainbow flops (nine high or lower) to 73.23% on rainbow flops topped by a ten or better. A5s 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 | A5s wins | Ties | 75s wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 72.623 | 1.211 | 26.166 | 73.229 |
| Rainbow, nine or lower | 5.654 | 47.937 | 5.511 | 46.552 | 50.692 |
| Two-tone | 46.543 | 65.907 | 1.750 | 32.343 | 66.782 |
| Monotone | 5.215 | 59.972 | 4.205 | 35.823 | 62.075 |
| Paired | 17.334 | 71.631 | 2.283 | 26.086 | 72.773 |
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, A5s holds 59.92% and 75s holds 43.68%. Facing each other changes that by +8.37 points for A5s and -11.97 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 68.293 | 59.923 | +8.370 | 1.13968 |
| A5s, rainbow, ten or higher | 73.229 | 59.923 | +13.306 | 1.22205 |
| A5s, rainbow, nine or lower | 50.692 | 59.923 | -9.231 | 0.84595 |
| A5s, two-tone | 66.782 | 59.923 | +6.859 | 1.11446 |
| A5s, monotone | 62.075 | 59.923 | +2.152 | 1.03591 |
| A5s, paired | 72.773 | 59.923 | +12.850 | 1.21444 |
| 75s, all flops | 31.707 | 43.676 | -11.969 | 0.72596 |
| 75s, rainbow, ten or higher | 26.771 | 43.676 | -16.905 | 0.61295 |
| 75s, rainbow, nine or lower | 49.308 | 43.676 | +5.632 | 1.12895 |
| 75s, two-tone | 33.218 | 43.676 | -10.458 | 0.76055 |
| 75s, monotone | 37.925 | 43.676 | -5.751 | 0.86833 |
| 75s, paired | 27.227 | 43.676 | -16.449 | 0.62339 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so A5s' 68.29% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 75s wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.270 | 2.047 | 30.683 | 68.293 |
How often this matchup comes up
The class pair covers 12 combinations of specific cards in a fixed seat order, 0.0007% of 1,624,350, and 24 (0.0015%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $136.58 for A5s and $63.42 for 75s; the first side gains $36.58 per all-in and the second gives up $36.58.
Per 1,000 deals: A5s wins about 673, 75s wins about 307, and about 20 end in a split pot.
The same matchup from the other side
If you came looking for 75s against A5s, the numbers are the same with the hands swapped: 31.71% and 68.29%.
Keep exploring
Open the calculator with As5s against 7h5h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 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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