ATo
60.41%
Wins 60.19%, ties 0.45%
75s
39.59%
Wins 39.36%, ties 0.45%
ATo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 60.188 | 0.452 | 39.360 | 60.414 |
| 75s | 39.360 | 0.452 | 60.188 | 39.586 |
We compare an offsuit hand with a suited hand. 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. Ties are 0.45% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, ATo holds place 19 of 169 and 75s holds place 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 49,469,000 | 372,000 | 32,350,000 |
| 75s | 32,350,000 | 372,000 | 49,469,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| ATo | 1.526 | 1.661 | 2.541 | 0.655 |
| 75s | 0.655 | 2.541 | 1.661 | 1.526 |
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
Split by what the flop looks like, ATo peaks at 68.34% on rainbow flops topped by a ten or better and bottoms out at 35.39% on low rainbow flops (nine high or lower). The overall edge for ATo hides low rainbow flops (nine high or lower), where 75s comes out in front.
| Flop | Share of flops | ATo wins | Ties | 75s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.234 | 0.219 | 31.547 | 68.344 |
| Rainbow, nine or lower | 6.313 | 35.108 | 0.557 | 64.335 | 35.386 |
| Two-tone | 46.667 | 58.679 | 0.270 | 41.051 | 58.814 |
| Monotone | 5.212 | 57.416 | 2.389 | 40.195 | 58.610 |
| Paired | 17.091 | 62.782 | 0.657 | 36.561 | 63.110 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Start from the random-hand figures, 62.72% for ATo and 43.68% for 75s. This opponent changes them by -2.31 and -4.09 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 60.414 | 62.722 | -2.308 | 0.96320 |
| ATo, rainbow, ten or higher | 68.344 | 62.722 | +5.622 | 1.08963 |
| ATo, rainbow, nine or lower | 35.386 | 62.722 | -27.336 | 0.56417 |
| ATo, two-tone | 58.814 | 62.722 | -3.908 | 0.93769 |
| ATo, monotone | 58.610 | 62.722 | -4.112 | 0.93444 |
| ATo, paired | 63.110 | 62.722 | +0.388 | 1.00619 |
| 75s, all flops | 39.586 | 43.676 | -4.090 | 0.90636 |
| 75s, rainbow, ten or higher | 31.656 | 43.676 | -12.020 | 0.72479 |
| 75s, rainbow, nine or lower | 64.614 | 43.676 | +20.938 | 1.47939 |
| 75s, two-tone | 41.186 | 43.676 | -2.490 | 0.94299 |
| 75s, monotone | 41.390 | 43.676 | -2.286 | 0.94766 |
| 75s, paired | 36.890 | 43.676 | -6.786 | 0.84463 |
Does a shared suit matter?
Of the deals of this matchup, 24 share a suit (ATo at 61.12%) and 24 do not (59.71%). ATo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 75s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.872 | 0.494 | 38.634 | 61.119 |
| No shared suit | 24 | 50.00 | 59.504 | 0.410 | 40.086 | 59.709 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are ATo in one seat and 75s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
With $100 from each side, the $200 pot is split on average as $120.82 for ATo and $79.18 for 75s; the first side gains $20.82 per all-in and the second gives up $20.82.
Out of 1,000 deals you should see around 602 outright wins for ATo, 394 for 75s, and 4 split pots.
The same matchup from the other side
The reversed view, 75s against ATo, shows 39.59% for 75s and 60.41% for ATo. It is the same count, so it redirects here.
Keep exploring
Try AsTh against 7d5d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of ATo against 75s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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