AJs
61.56%
Wins 61.31%, ties 0.51%
65s
38.44%
Wins 38.18%, ties 0.51%
AJs against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 61.309 | 0.508 | 38.183 | 61.563 |
| 65s | 38.183 | 0.508 | 61.309 | 38.437 |
This is a contest between two suited hands, AJs and 65s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
AJs is ahead, but 65s is far from dead: it takes 382 of every 1,000 deals outright. A split pot comes up on 0.51% of boards, so the wins and the equity differ by half of that.
Place 11 of 169 belongs to AJs and place 128 belongs to 65s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 16,797,000 | 139,000 | 10,461,000 |
| 65s | 10,461,000 | 139,000 | 16,797,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| AJs | 1.602 | 1.631 | 2.619 | 0.624 |
| 65s | 0.624 | 2.619 | 1.631 | 1.602 |
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
Rainbow flops topped by a ten or better are the best for AJs (68.91%); low rainbow flops (nine high or lower) are the worst (32.82%). On low rainbow flops (nine high or lower) the numbers flip and 65s is the one ahead.
| Flop | Share of flops | AJs wins | Ties | 65s wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.829 | 0.168 | 31.003 | 68.913 |
| Rainbow, nine or lower | 6.314 | 32.441 | 0.755 | 66.804 | 32.818 |
| Two-tone | 46.727 | 60.677 | 0.264 | 39.059 | 60.809 |
| Monotone | 5.273 | 57.317 | 3.465 | 39.218 | 59.049 |
| Paired | 17.091 | 64.114 | 0.657 | 35.229 | 64.443 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of -3.83 points for AJs, from 65.39%, and -4.69 for 65s, from 43.13%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 61.563 | 65.393 | -3.830 | 0.94143 |
| AJs, rainbow, ten or higher | 68.913 | 65.393 | +3.520 | 1.05383 |
| AJs, rainbow, nine or lower | 32.818 | 65.393 | -32.575 | 0.50186 |
| AJs, two-tone | 60.809 | 65.393 | -4.584 | 0.92990 |
| AJs, monotone | 59.049 | 65.393 | -6.344 | 0.90299 |
| AJs, paired | 64.443 | 65.393 | -0.950 | 0.98547 |
| 65s, all flops | 38.437 | 43.133 | -4.696 | 0.89113 |
| 65s, rainbow, ten or higher | 31.087 | 43.133 | -12.046 | 0.72072 |
| 65s, rainbow, nine or lower | 67.182 | 43.133 | +24.049 | 1.55755 |
| 65s, two-tone | 39.191 | 43.133 | -3.942 | 0.90861 |
| 65s, monotone | 40.951 | 43.133 | -2.182 | 0.94941 |
| 65s, paired | 35.557 | 43.133 | -7.576 | 0.82436 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AJs has 63.70% equity, and with none in common it has 60.85%. AJs does better with a shared suit, by 2.85 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 65s wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.404 | 0.587 | 36.009 | 63.698 |
| No shared suit | 12 | 75.00 | 60.611 | 0.481 | 38.908 | 60.852 |
How often this matchup comes up
This page stands for 16 specific-card matchups (0.0010% of 1,624,350 ordered deals), or 32 once you count the seats both ways (0.0020%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average AJs takes back $123.12 of it, which is $23.12 more than it put in, and 65s takes back $76.88, $23.12 less than it put in.
Over a long run, 1,000 deals split into about 613 for AJs, 382 for 65s and 5 tied.
The same matchup from the other side
65s versus AJs is this same page seen from the other hand: 38.44% for 65s, 61.56% for AJs.
Keep exploring
AsJs against 6h5h 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
We counted every case. Each suit pattern of the 16 specific AJs against 65s 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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