A9s
49.70%
Wins 49.39%, ties 0.62%
22
50.30%
Wins 49.99%, ties 0.62%
A9s against 22: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9s | 49.394 | 0.617 | 49.989 | 49.703 |
| 22 | 49.989 | 0.617 | 49.394 | 50.297 |
The first hand is a suited hand; the second 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.
With only 0.60 points between them, the board decides this matchup far more than the cards in hand. The tie share is 0.62%: on those boards the pot is chopped and neither hand wins outright.
Place 18 of 169 belongs to A9s and place 87 belongs to 22 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9s | 20,299,000 | 254,000 | 20,543,000 |
| 22 | 20,543,000 | 254,000 | 20,299,000 |
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) |
|---|---|---|---|---|
| A9s | 0.988 | 2.025 | 2.000 | 1.012 |
| 22 | 1.012 | 2.000 | 2.025 | 0.988 |
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
Low rainbow flops (nine high or lower) are the best for 22 (57.19%); paired flops are the worst (49.20%). Watch for two-tone flops and paired flops: on those flops A9s holds the better equity.
| Flop | Share of flops | A9s wins | Ties | 22 wins | A9s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 49.171 | 0.247 | 50.582 | 49.294 |
| Rainbow, nine or lower | 5.689 | 42.283 | 1.054 | 56.663 | 42.810 |
| Two-tone | 46.545 | 50.164 | 0.364 | 49.472 | 50.346 |
| Monotone | 5.212 | 47.947 | 3.736 | 48.317 | 49.815 |
| Paired | 17.334 | 50.420 | 0.754 | 48.826 | 50.797 |
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
A random hand would give A9s 62.78% and 22 50.33%. Against each other the change is -13.08 points for A9s and -0.03 for 22.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9s, all flops | 49.703 | 62.781 | -13.078 | 0.79169 |
| A9s, rainbow, ten or higher | 49.294 | 62.781 | -13.487 | 0.78517 |
| A9s, rainbow, nine or lower | 42.810 | 62.781 | -19.971 | 0.68189 |
| A9s, two-tone | 50.346 | 62.781 | -12.435 | 0.80193 |
| A9s, monotone | 49.815 | 62.781 | -12.966 | 0.79347 |
| A9s, paired | 50.797 | 62.781 | -11.984 | 0.80911 |
| 22, all flops | 50.297 | 50.334 | -0.037 | 0.99926 |
| 22, rainbow, ten or higher | 50.706 | 50.334 | +0.372 | 1.00739 |
| 22, rainbow, nine or lower | 57.190 | 50.334 | +6.856 | 1.13621 |
| 22, two-tone | 49.654 | 50.334 | -0.680 | 0.98649 |
| 22, monotone | 50.185 | 50.334 | -0.149 | 0.99704 |
| 22, paired | 49.203 | 50.334 | -1.131 | 0.97753 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (22 at 50.49%) and 12 do not (50.10%). 22 does better with a shared suit, by 0.39 points.
| Deals | Specific deals | Share of deals | A9s wins | Ties | 22 wins | A9s equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.188 | 0.637 | 50.175 | 49.507 |
| No shared suit | 12 | 50.00 | 49.600 | 0.597 | 49.803 | 49.899 |
How often this matchup comes up
You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says 22 gets $100.60 of it on average and A9s gets $99.40.
Per 1,000 deals: 22 wins about 500, A9s wins about 494, and about 6 end in a split pot.
The same matchup from the other side
Swap the hands and you get 22 with 50.30% against A9s with 49.70%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with As9s against 2h2d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of A9s against 22, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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