AJs
62.62%
Wins 62.37%, ties 0.50%
75s
37.38%
Wins 37.13%, ties 0.50%
AJs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 62.370 | 0.498 | 37.132 | 62.619 |
| 75s | 37.132 | 0.498 | 62.370 | 37.381 |
AJs meets 75s, 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.
A 25.24 point lead is real, and 75s still takes about 371 of every 1,000 deals outright. Ties are part of the picture: 0.50% of boards end in a split pot, and each side counts that as half a win.
Place 11 of 169 belongs to AJs and place 124 belongs to 75s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 17,087,000 | 136,000 | 10,173,000 |
| 75s | 10,173,000 | 136,000 | 17,087,000 |
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) |
|---|---|---|---|---|
| AJs | 1.675 | 1.603 | 2.693 | 0.597 |
| 75s | 0.597 | 2.693 | 1.603 | 1.675 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
Break the boards down by their first three cards and AJs is strongest on rainbow flops topped by a ten or better (69.54%) and weakest on low rainbow flops (nine high or lower) (36.41%). The lead reverses on low rainbow flops (nine high or lower): there 75s is the favorite even though AJs is ahead overall.
| Flop | Share of flops | AJs wins | Ties | 75s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.445 | 0.184 | 30.371 | 69.537 |
| Rainbow, nine or lower | 6.314 | 36.088 | 0.644 | 63.268 | 36.410 |
| Two-tone | 46.727 | 61.763 | 0.256 | 37.981 | 61.891 |
| Monotone | 5.273 | 58.114 | 3.438 | 38.448 | 59.833 |
| Paired | 17.091 | 64.871 | 0.653 | 34.476 | 65.197 |
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, AJs holds 65.39% and 75s holds 43.68%. Facing each other changes that by -2.77 points for AJs and -6.30 points for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 62.619 | 65.393 | -2.774 | 0.95758 |
| AJs, rainbow, ten or higher | 69.537 | 65.393 | +4.144 | 1.06337 |
| AJs, rainbow, nine or lower | 36.410 | 65.393 | -28.983 | 0.55679 |
| AJs, two-tone | 61.891 | 65.393 | -3.502 | 0.94645 |
| AJs, monotone | 59.833 | 65.393 | -5.560 | 0.91498 |
| AJs, paired | 65.197 | 65.393 | -0.196 | 0.99700 |
| 75s, all flops | 37.381 | 43.676 | -6.295 | 0.85587 |
| 75s, rainbow, ten or higher | 30.463 | 43.676 | -13.213 | 0.69748 |
| 75s, rainbow, nine or lower | 63.590 | 43.676 | +19.914 | 1.45595 |
| 75s, two-tone | 38.109 | 43.676 | -5.567 | 0.87254 |
| 75s, monotone | 40.167 | 43.676 | -3.509 | 0.91966 |
| 75s, paired | 34.803 | 43.676 | -8.873 | 0.79684 |
Does a shared suit matter?
When the hands share a suit, AJs holds 64.89%; when they do not, it holds 61.86%. AJs does better with a shared suit, by 3.03 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 75s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.600 | 0.577 | 34.823 | 64.889 |
| No shared suit | 12 | 75.00 | 61.627 | 0.472 | 37.901 | 61.863 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are AJs against 75s, and 32 (0.0020%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AJs takes back $125.24 of it, which is $25.24 more than it put in, and 75s takes back $74.76, $25.24 less than it put in.
Think in thousands: about 624 of 1,000 go to AJs, about 371 go to 75s, and about 5 are chopped.
The same matchup from the other side
One page covers both views. From 75s' side the equity is 37.38%, and from AJs' side it is 62.62%.
Keep exploring
Try AsJs 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
We counted every case. Each suit pattern of the 16 specific AJs against 75s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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