A5s
50.10%
Wins 49.76%, ties 0.67%
22
49.90%
Wins 49.57%, ties 0.67%
A5s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 49.762 | 0.673 | 49.565 | 50.098 |
| 22 | 49.565 | 0.673 | 49.762 | 49.902 |
The first hand is a suited hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. A split pot comes up on 0.67% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, A5s is number 30 and 22 is number 87 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 20,450,000 | 277,000 | 20,369,000 |
| 22 | 20,369,000 | 277,000 | 20,450,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| A5s | 1.004 | 2.010 | 2.018 | 0.996 |
| 22 | 0.996 | 2.018 | 2.010 | 1.004 |
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
If you know the kind of flop that came, the numbers shift: A5s holds 50.85% on two-tone flops and 46.26% on low rainbow flops (nine high or lower). Rainbow flops topped by a ten or better and low rainbow flops (nine high or lower) favor 22, the hand that is behind overall.
| Flop | Share of flops | A5s wins | Ties | 22 wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 49.041 | 0.291 | 50.668 | 49.186 |
| Rainbow, nine or lower | 5.689 | 45.638 | 1.241 | 53.121 | 46.258 |
| Two-tone | 46.545 | 50.634 | 0.427 | 48.939 | 50.847 |
| Monotone | 5.212 | 48.376 | 3.777 | 47.847 | 50.264 |
| Paired | 17.334 | 50.239 | 0.770 | 48.991 | 50.624 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Against one random hand instead, A5s holds 59.92% and 22 holds 50.33%. Facing each other changes that by -9.82 points for A5s and -0.43 points for 22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 50.098 | 59.923 | -9.825 | 0.83604 |
| A5s, rainbow, ten or higher | 49.186 | 59.923 | -10.737 | 0.82082 |
| A5s, rainbow, nine or lower | 46.258 | 59.923 | -13.665 | 0.77196 |
| A5s, two-tone | 50.847 | 59.923 | -9.076 | 0.84854 |
| A5s, monotone | 50.264 | 59.923 | -9.659 | 0.83881 |
| A5s, paired | 50.624 | 59.923 | -9.299 | 0.84482 |
| 22, all flops | 49.902 | 50.334 | -0.432 | 0.99142 |
| 22, rainbow, ten or higher | 50.814 | 50.334 | +0.480 | 1.00954 |
| 22, rainbow, nine or lower | 53.742 | 50.334 | +3.408 | 1.06771 |
| 22, two-tone | 49.153 | 50.334 | -1.181 | 0.97654 |
| 22, monotone | 49.736 | 50.334 | -0.598 | 0.98812 |
| 22, paired | 49.376 | 50.334 | -0.958 | 0.98097 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A5s has 49.93% equity, and with none in common it has 50.26%. A5s does better with no shared suit, by 0.33 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | 22 wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.587 | 0.692 | 49.721 | 49.933 |
| No shared suit | 12 | 50.00 | 49.936 | 0.654 | 49.410 | 50.263 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A5s is worth $100.20 on average (+$0.20); 22 is worth $99.80 (-$0.20).
Think in thousands: about 497 of 1,000 go to A5s, about 496 go to 22, and about 7 are chopped.
The same matchup from the other side
The reversed view, 22 against A5s, shows 49.90% for 22 and 50.10% for A5s. It is the same count, so it redirects here.
Keep exploring
As5s against 2h2d 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 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.
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