AJo
60.61%
Wins 60.35%, ties 0.53%
43s
39.39%
Wins 39.12%, ties 0.53%
AJo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 60.348 | 0.525 | 39.127 | 60.610 |
| 43s | 39.127 | 0.525 | 60.348 | 39.390 |
One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 21.22 point lead is real, and 43s still takes about 391 of every 1,000 deals outright. Ties are part of the picture: 0.53% of boards end in a split pot, and each side counts that as half a win.
Place 15 of 169 belongs to AJo and place 150 belongs to 43s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 49,600,000 | 432,000 | 32,159,000 |
| 43s | 32,159,000 | 432,000 | 49,600,000 |
48 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) |
|---|---|---|---|---|
| AJo | 1.539 | 1.657 | 2.556 | 0.650 |
| 43s | 0.650 | 2.556 | 1.657 | 1.539 |
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
By flop texture, AJo's equity runs from 36.13% on low rainbow flops (nine high or lower) up to 68.23% on rainbow flops topped by a ten or better. AJo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | AJo wins | Ties | 43s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.133 | 0.195 | 31.672 | 68.231 |
| Rainbow, nine or lower | 6.313 | 35.599 | 1.063 | 63.338 | 36.131 |
| Two-tone | 46.667 | 58.684 | 0.345 | 40.971 | 58.856 |
| Monotone | 5.212 | 57.414 | 2.558 | 40.028 | 58.693 |
| Paired | 17.091 | 63.671 | 0.673 | 35.656 | 64.007 |
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
The table below sets each hand against its own random-hand baseline: a change of -2.95 points for AJo, from 63.56%, and +0.75 for 43s, from 38.64%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 60.610 | 63.563 | -2.953 | 0.95354 |
| AJo, rainbow, ten or higher | 68.231 | 63.563 | +4.668 | 1.07344 |
| AJo, rainbow, nine or lower | 36.131 | 63.563 | -27.432 | 0.56843 |
| AJo, two-tone | 58.856 | 63.563 | -4.707 | 0.92595 |
| AJo, monotone | 58.693 | 63.563 | -4.870 | 0.92338 |
| AJo, paired | 64.007 | 63.563 | +0.444 | 1.00699 |
| 43s, all flops | 39.390 | 38.642 | +0.748 | 1.01936 |
| 43s, rainbow, ten or higher | 31.769 | 38.642 | -6.873 | 0.82214 |
| 43s, rainbow, nine or lower | 63.869 | 38.642 | +25.227 | 1.65284 |
| 43s, two-tone | 41.144 | 38.642 | +2.502 | 1.06475 |
| 43s, monotone | 41.307 | 38.642 | +2.665 | 1.06897 |
| 43s, paired | 35.993 | 38.642 | -2.649 | 0.93145 |
Does a shared suit matter?
Split by suits, the deals give AJo 61.31% when the hands overlap in a suit and 59.91% when they do not. AJo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 43s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.028 | 0.561 | 38.411 | 61.308 |
| No shared suit | 24 | 50.00 | 59.668 | 0.489 | 39.843 | 59.913 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are AJo in one seat and 43s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Take a $200 pot built from $100 each. AJo's equity of 60.61% is worth $121.22, a $21.22 edge, and 43s' 39.39% is worth $78.78, which is $21.22 under its stake.
Per 1,000 deals: AJo wins about 604, 43s wins about 391, and about 5 end in a split pot.
The same matchup from the other side
Swap the hands and you get 43s with 39.39% against AJo with 60.61%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
AsJh against 4d3d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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