A7s
69.07%
Wins 67.81%, ties 2.52%
75s
30.93%
Wins 29.67%, ties 2.52%
A7s against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A7s | 67.813 | 2.522 | 29.665 | 69.074 |
| 75s | 29.665 | 2.522 | 67.813 | 30.926 |
Both hands are suited hands: A7s and 75s. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A7s is well ahead, and 75s needs a specific kind of board to catch up. About 2.52% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
A7s ranks number 24 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 |
|---|---|---|---|
| A7s | 13,934,000 | 518,000 | 6,095,000 |
| 75s | 6,095,000 | 518,000 | 13,934,000 |
12 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| A7s | 2.234 | 1.475 | 3.371 | 0.448 |
| 75s | 0.448 | 3.371 | 1.475 | 2.234 |
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
A7s prefers paired flops, where it holds 73.90%, and likes low rainbow flops (nine high or lower) least, where it holds 51.72%. 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 | 75s wins | A7s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.254 | 72.976 | 1.851 | 25.173 | 73.902 |
| Rainbow, nine or lower | 5.654 | 48.747 | 5.940 | 45.313 | 51.717 |
| Two-tone | 46.543 | 66.357 | 2.245 | 31.398 | 67.479 |
| Monotone | 5.215 | 60.453 | 4.503 | 35.044 | 62.704 |
| Paired | 17.334 | 72.632 | 2.536 | 24.832 | 73.900 |
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
The table below sets each hand against its own random-hand baseline: a change of +8.09 points for A7s, from 60.98%, and -12.75 for 75s, from 43.68%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A7s, all flops | 69.074 | 60.984 | +8.090 | 1.13266 |
| A7s, rainbow, ten or higher | 73.902 | 60.984 | +12.918 | 1.21183 |
| A7s, rainbow, nine or lower | 51.717 | 60.984 | -9.267 | 0.84804 |
| A7s, two-tone | 67.479 | 60.984 | +6.495 | 1.10650 |
| A7s, monotone | 62.704 | 60.984 | +1.720 | 1.02820 |
| A7s, paired | 73.900 | 60.984 | +12.916 | 1.21179 |
| 75s, all flops | 30.926 | 43.676 | -12.750 | 0.70808 |
| 75s, rainbow, ten or higher | 26.098 | 43.676 | -17.578 | 0.59754 |
| 75s, rainbow, nine or lower | 48.283 | 43.676 | +4.607 | 1.10548 |
| 75s, two-tone | 32.521 | 43.676 | -11.155 | 0.74460 |
| 75s, monotone | 37.296 | 43.676 | -6.380 | 0.85392 |
| 75s, paired | 26.100 | 43.676 | -17.576 | 0.59758 |
Does a shared suit matter?
Every legal deal of A7s against 75s leaves the hands with no suit in common, so the suit split does not apply here.
| Deals | Specific deals | Share of deals | A7s wins | Ties | 75s wins | A7s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 67.813 | 2.522 | 29.665 | 69.074 |
How often this matchup comes up
A7s against 75s is made up of 12 specific-card matchups in one seat order, 0.0007% of the 1,624,350 ordered deals, and 24 counting both seat orders, 0.0015%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A7s' average share is $138.14 (a gain of $38.14) and 75s' is $61.86 (a loss of $38.14).
Over a long run, 1,000 deals split into about 678 for A7s, 297 for 75s and 25 tied.
The same matchup from the other side
Read it from the other side: 75s against A7s is the same matchup with the numbers swapped, so 75s holds 30.93% and A7s holds 69.07%. That address sends you back to this page.
Keep exploring
Try As7s 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
Nothing here is simulated. The 12 deals of A7s against 75s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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