AJo
67.48%
Wins 63.66%, ties 7.64%
A4s
32.52%
Wins 28.70%, ties 7.64%
AJo against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 63.662 | 7.636 | 28.702 | 67.480 |
| A4s | 28.702 | 7.636 | 63.662 | 32.520 |
We compare an offsuit hand with a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
AJo is the clear favorite, though A4s gets there on roughly one board in 3. Of every 100 boards, about 7.64 are split pots, and the equity figures already include them.
Place 15 of 169 belongs to AJo and place 35 belongs to A4s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 39,243,000 | 4,707,000 | 17,693,000 |
| A4s | 17,693,000 | 4,707,000 | 39,243,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJo | 2.075 | 1.571 | 3.484 | 0.482 |
| A4s | 0.482 | 3.484 | 1.571 | 2.075 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
AJo prefers rainbow flops topped by a ten or better, where it holds 74.89%, and likes low rainbow flops (nine high or lower) least, where it holds 54.07%. AJo stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AJo wins | Ties | A4s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.064 | 5.655 | 22.281 | 74.891 |
| Rainbow, nine or lower | 7.042 | 51.944 | 4.256 | 43.800 | 54.072 |
| Two-tone | 46.527 | 63.998 | 5.066 | 30.936 | 66.531 |
| Monotone | 5.192 | 59.938 | 5.994 | 34.068 | 62.935 |
| Paired | 17.334 | 57.052 | 19.130 | 23.818 | 66.617 |
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
Start from the random-hand figures, 63.56% for AJo and 59.03% for A4s. This opponent changes them by +3.92 and -26.51 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 67.480 | 63.563 | +3.917 | 1.06162 |
| AJo, rainbow, ten or higher | 74.891 | 63.563 | +11.328 | 1.17822 |
| AJo, rainbow, nine or lower | 54.072 | 63.563 | -9.491 | 0.85068 |
| AJo, two-tone | 66.531 | 63.563 | +2.968 | 1.04669 |
| AJo, monotone | 62.935 | 63.563 | -0.628 | 0.99012 |
| AJo, paired | 66.617 | 63.563 | +3.054 | 1.04805 |
| A4s, all flops | 32.520 | 59.034 | -26.514 | 0.55087 |
| A4s, rainbow, ten or higher | 25.109 | 59.034 | -33.925 | 0.42533 |
| A4s, rainbow, nine or lower | 45.928 | 59.034 | -13.106 | 0.77799 |
| A4s, two-tone | 33.469 | 59.034 | -25.565 | 0.56694 |
| A4s, monotone | 37.065 | 59.034 | -21.969 | 0.62786 |
| A4s, paired | 33.383 | 59.034 | -25.651 | 0.56549 |
Does a shared suit matter?
The suit split reads 68.29% for AJo with a shared suit and 67.08% without one. AJo does better with a shared suit, by 1.21 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | A4s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 64.415 | 7.745 | 27.840 | 68.288 |
| No shared suit | 24 | 66.67 | 63.286 | 7.581 | 29.133 | 67.076 |
How often this matchup comes up
AJo against A4s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Put $100 each into a $200 pot and deal every board once: AJo averages $134.96 back, ahead of its $100 by $34.96, while A4s averages $65.04, short of its $100 by $34.96.
Think in thousands: about 637 of 1,000 go to AJo, about 287 go to A4s, and about 76 are chopped.
The same matchup from the other side
Read it from the other side: A4s against AJo is the same matchup with the numbers swapped, so A4s holds 32.52% and AJo holds 67.48%. That address sends you back to this page.
Keep exploring
The calculator link fills in AsJh against Ad4d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
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