A9o
45.87%
Wins 45.63%, ties 0.49%
44
54.13%
Wins 53.88%, ties 0.49%
A9o against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 45.628 | 0.489 | 53.883 | 45.872 |
| 44 | 53.883 | 0.489 | 45.628 | 54.128 |
One side is an offsuit hand, the other is a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with 44 a little ahead. The tie share is 0.49%: on those boards the pot is chopped and neither hand wins outright.
For context, A9o sits at number 25 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 |
|---|---|---|---|
| A9o | 56,253,000 | 603,000 | 66,430,000 |
| 44 | 66,430,000 | 603,000 | 56,253,000 |
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) |
|---|---|---|---|---|
| A9o | 0.847 | 2.192 | 1.856 | 1.180 |
| 44 | 1.180 | 1.856 | 2.192 | 0.847 |
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
Break the boards down by their first three cards and 44 is strongest on low rainbow flops (nine high or lower) (60.36%) and weakest on monotone flops (51.10%). 44 stays ahead on all five textures.
| Flop | Share of flops | A9o wins | Ties | 44 wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 46.978 | 0.252 | 52.770 | 47.104 |
| Rainbow, nine or lower | 5.689 | 39.190 | 0.897 | 59.913 | 39.638 |
| Two-tone | 46.485 | 45.906 | 0.356 | 53.738 | 46.084 |
| Monotone | 5.151 | 47.899 | 2.006 | 50.095 | 48.902 |
| Paired | 17.334 | 44.345 | 0.609 | 55.046 | 44.649 |
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
Relative to a random opponent, A9o changes by -14.90 points (baseline 60.77%) and 44 by -2.89 points (baseline 57.02%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 45.872 | 60.773 | -14.901 | 0.75481 |
| A9o, rainbow, ten or higher | 47.104 | 60.773 | -13.669 | 0.77508 |
| A9o, rainbow, nine or lower | 39.638 | 60.773 | -21.135 | 0.65223 |
| A9o, two-tone | 46.084 | 60.773 | -14.689 | 0.75830 |
| A9o, monotone | 48.902 | 60.773 | -11.871 | 0.80467 |
| A9o, paired | 44.649 | 60.773 | -16.124 | 0.73468 |
| 44, all flops | 54.128 | 57.023 | -2.895 | 0.94923 |
| 44, rainbow, ten or higher | 52.896 | 57.023 | -4.127 | 0.92763 |
| 44, rainbow, nine or lower | 60.362 | 57.023 | +3.339 | 1.05856 |
| 44, two-tone | 53.916 | 57.023 | -3.107 | 0.94551 |
| 44, monotone | 51.098 | 57.023 | -5.925 | 0.89609 |
| 44, paired | 55.351 | 57.023 | -1.672 | 0.97068 |
Does a shared suit matter?
The suit split reads 54.05% for 44 with a shared suit and 54.53% without one. 44 does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 44 wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 45.701 | 0.502 | 53.797 | 45.952 |
| No shared suit | 12 | 16.67 | 45.262 | 0.423 | 54.315 | 45.474 |
How often this matchup comes up
This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).
A worked example
Take a $200 pot built from $100 each. 44's equity of 54.13% is worth $108.26, a $8.26 edge, and A9o's 45.87% is worth $91.74, which is $8.26 under its stake.
Think in thousands: about 539 of 1,000 go to 44, about 456 go to A9o, and about 5 are chopped.
The same matchup from the other side
One page covers both views. From 44's side the equity is 54.13%, and from A9o's side it is 45.87%.
Keep exploring
Try As9h against 4d4c 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
This is an exact count with no sampling. For the 72 ways to deal one A9o 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.
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