AJo
60.09%
Wins 59.86%, ties 0.45%
75s
39.91%
Wins 39.69%, ties 0.45%
AJo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 59.861 | 0.452 | 39.687 | 60.087 |
| 75s | 39.687 | 0.452 | 59.861 | 39.913 |
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.
AJo is ahead, but 75s is far from dead: it takes 397 of every 1,000 deals outright. 0.45% of boards are ties, so the equity of each hand is its win rate plus half of that.
Ranked by equity against a random hand, AJo is number 15 of the 169 starting hands and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 49,200,000 | 372,000 | 32,619,000 |
| 75s | 32,619,000 | 372,000 | 49,200,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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 | 1.505 | 1.671 | 2.520 | 0.664 |
| 75s | 0.664 | 2.520 | 1.671 | 1.505 |
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
Split by what the flop looks like, AJo peaks at 68.22% on rainbow flops topped by a ten or better and bottoms out at 33.94% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 75s holds the better equity.
| Flop | Share of flops | AJo wins | Ties | 75s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.125 | 0.189 | 31.686 | 68.219 |
| Rainbow, nine or lower | 6.313 | 33.600 | 0.671 | 65.729 | 33.936 |
| Two-tone | 46.667 | 58.307 | 0.272 | 41.421 | 58.443 |
| Monotone | 5.212 | 57.136 | 2.392 | 40.472 | 58.332 |
| Paired | 17.091 | 62.682 | 0.653 | 36.665 | 63.009 |
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
Start from the random-hand figures, 63.56% for AJo and 43.68% for 75s. This opponent changes them by -3.47 and -3.77 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 60.087 | 63.563 | -3.476 | 0.94531 |
| AJo, rainbow, ten or higher | 68.219 | 63.563 | +4.656 | 1.07325 |
| AJo, rainbow, nine or lower | 33.936 | 63.563 | -29.627 | 0.53390 |
| AJo, two-tone | 58.443 | 63.563 | -5.120 | 0.91945 |
| AJo, monotone | 58.332 | 63.563 | -5.231 | 0.91770 |
| AJo, paired | 63.009 | 63.563 | -0.554 | 0.99128 |
| 75s, all flops | 39.913 | 43.676 | -3.763 | 0.91384 |
| 75s, rainbow, ten or higher | 31.781 | 43.676 | -11.895 | 0.72765 |
| 75s, rainbow, nine or lower | 66.064 | 43.676 | +22.388 | 1.51259 |
| 75s, two-tone | 41.557 | 43.676 | -2.119 | 0.95148 |
| 75s, monotone | 41.668 | 43.676 | -2.008 | 0.95403 |
| 75s, paired | 36.991 | 43.676 | -6.685 | 0.84694 |
Does a shared suit matter?
When the hands share a suit, AJo holds 60.79%; when they do not, it holds 59.39%. AJo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 75s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.541 | 0.494 | 38.965 | 60.788 |
| No shared suit | 24 | 50.00 | 59.180 | 0.411 | 40.409 | 59.385 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AJo averages $120.18 from the $200, up $20.18; 75s averages $79.82, down $20.18.
A thousand deals look like this: AJo takes 599, 75s takes 397, 4 are ties.
The same matchup from the other side
Swap the hands and you get 75s with 39.91% against AJo with 60.09%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
AsJh against 7d5d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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