AJo
46.67%
Wins 46.43%, ties 0.48%
44
53.33%
Wins 53.09%, ties 0.48%
AJo against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 46.432 | 0.477 | 53.091 | 46.671 |
| 44 | 53.091 | 0.477 | 46.432 | 53.329 |
One side is an offsuit hand, the other is a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with 44 a little ahead. 0.48% of boards are ties, so the equity of each hand is its win rate plus half of that.
For context, AJo sits at number 15 of 169 starting hands and 44 at number 48 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 57,244,000 | 588,000 | 65,454,000 |
| 44 | 65,454,000 | 588,000 | 57,244,000 |
72 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 | 0.875 | 2.154 | 1.884 | 1.143 |
| 44 | 1.143 | 1.884 | 2.154 | 0.875 |
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
The flop changes the picture. 44 does best on low rainbow flops (nine high or lower), at 79.49%, and worst on rainbow flops topped by a ten or better, at 46.73%. Watch for rainbow flops topped by a ten or better: on those flops AJo holds the better equity.
| Flop | Share of flops | AJo wins | Ties | 44 wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 53.171 | 0.201 | 46.628 | 53.272 |
| Rainbow, nine or lower | 6.314 | 20.024 | 0.968 | 79.008 | 20.508 |
| Two-tone | 46.485 | 46.753 | 0.343 | 52.904 | 46.925 |
| Monotone | 5.151 | 48.519 | 1.998 | 49.483 | 49.518 |
| Paired | 17.333 | 44.959 | 0.600 | 54.441 | 45.259 |
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
The table below sets each hand against its own random-hand baseline: a change of -16.89 points for AJo, from 63.56%, and -3.69 for 44, from 57.02%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 46.671 | 63.563 | -16.892 | 0.73425 |
| AJo, rainbow, ten or higher | 53.272 | 63.563 | -10.291 | 0.83810 |
| AJo, rainbow, nine or lower | 20.508 | 63.563 | -43.055 | 0.32264 |
| AJo, two-tone | 46.925 | 63.563 | -16.638 | 0.73824 |
| AJo, monotone | 49.518 | 63.563 | -14.045 | 0.77904 |
| AJo, paired | 45.259 | 63.563 | -18.304 | 0.71203 |
| 44, all flops | 53.329 | 57.023 | -3.694 | 0.93522 |
| 44, rainbow, ten or higher | 46.728 | 57.023 | -10.295 | 0.81946 |
| 44, rainbow, nine or lower | 79.492 | 57.023 | +22.469 | 1.39403 |
| 44, two-tone | 53.075 | 57.023 | -3.948 | 0.93076 |
| 44, monotone | 50.482 | 57.023 | -6.541 | 0.88529 |
| 44, paired | 54.741 | 57.023 | -2.282 | 0.95998 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 44 has 53.25% equity, and with none in common it has 53.74%. 44 does better with no shared suit, by 0.49 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 44 wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 46.507 | 0.491 | 53.002 | 46.752 |
| No shared suit | 12 | 16.67 | 46.057 | 0.411 | 53.532 | 46.262 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are AJo in one seat and 44 in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
Take a $200 pot built from $100 each. 44's equity of 53.33% is worth $106.66, a $6.66 edge, and AJo's 46.67% is worth $93.34, which is $6.66 under its stake.
Run 1,000 deals and the tally comes out near 531 for 44, 464 for AJo and 5 ties.
The same matchup from the other side
The reversed view, 44 against AJo, shows 53.33% for 44 and 46.67% for AJo. It is the same count, so it redirects here.
Keep exploring
AsJh against 4d4c 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
This is an exact count with no sampling. For the 72 ways to deal one AJo and one 44 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session