A3s
55.91%
Wins 55.66%, ties 0.51%
97s
44.09%
Wins 43.83%, ties 0.51%
A3s against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A3s | 55.655 | 0.508 | 43.837 | 55.909 |
| 97s | 43.837 | 0.508 | 55.655 | 44.091 |
Two suited hands meet here: A3s against 97s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A3s is ahead, but 97s is far from dead: it takes 438 of every 1,000 deals outright. About 0.51% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, A3s sits at number 38 of 169 starting hands and 97s at number 94 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A3s | 15,248,000 | 139,000 | 12,010,000 |
| 97s | 12,010,000 | 139,000 | 15,248,000 |
16 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) |
|---|---|---|---|---|
| A3s | 1.268 | 1.797 | 2.281 | 0.789 |
| 97s | 0.789 | 2.281 | 1.797 | 1.268 |
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
If you know the kind of flop that came, the numbers shift: A3s holds 61.55% on paired flops and 38.12% on low rainbow flops (nine high or lower). The overall edge for A3s hides low rainbow flops (nine high or lower), where 97s comes out in front.
| Flop | Share of flops | A3s wins | Ties | 97s wins | A3s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 58.687 | 0.221 | 41.092 | 58.797 |
| Rainbow, nine or lower | 5.689 | 37.818 | 0.595 | 61.587 | 38.115 |
| Two-tone | 46.727 | 54.568 | 0.265 | 45.167 | 54.701 |
| Monotone | 5.273 | 51.999 | 3.428 | 44.573 | 53.713 |
| Paired | 17.091 | 61.217 | 0.669 | 38.114 | 61.552 |
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
How much does the opponent matter? Compared with its random-hand 58.22%, A3s changes by -2.31 points, and 97s, from 49.12%, by -5.03.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A3s, all flops | 55.909 | 58.220 | -2.311 | 0.96031 |
| A3s, rainbow, ten or higher | 58.797 | 58.220 | +0.577 | 1.00991 |
| A3s, rainbow, nine or lower | 38.115 | 58.220 | -20.105 | 0.65467 |
| A3s, two-tone | 54.701 | 58.220 | -3.519 | 0.93956 |
| A3s, monotone | 53.713 | 58.220 | -4.507 | 0.92259 |
| A3s, paired | 61.552 | 58.220 | +3.332 | 1.05723 |
| 97s, all flops | 44.091 | 49.118 | -5.027 | 0.89765 |
| 97s, rainbow, ten or higher | 41.203 | 49.118 | -7.915 | 0.83886 |
| 97s, rainbow, nine or lower | 61.885 | 49.118 | +12.767 | 1.25993 |
| 97s, two-tone | 45.299 | 49.118 | -3.819 | 0.92225 |
| 97s, monotone | 46.287 | 49.118 | -2.831 | 0.94236 |
| 97s, paired | 38.448 | 49.118 | -10.670 | 0.78277 |
Does a shared suit matter?
Does suit overlap move the numbers? A3s has 57.63% when the hands share a suit and 55.34% when they do not. A3s does better with a shared suit, by 2.29 points.
| Deals | Specific deals | Share of deals | A3s wins | Ties | 97s wins | A3s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.333 | 0.589 | 42.078 | 57.627 |
| No shared suit | 12 | 75.00 | 55.095 | 0.482 | 44.423 | 55.336 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Take a $200 pot built from $100 each. A3s' equity of 55.91% is worth $111.82, a $11.82 edge, and 97s' 44.09% is worth $88.18, which is $11.82 under its stake.
Per 1,000 deals: A3s wins about 557, 97s wins about 438, and about 5 end in a split pot.
The same matchup from the other side
97s versus A3s is this same page seen from the other hand: 44.09% for 97s, 55.91% for A3s.
Keep exploring
Open the calculator with As3s against 9h7h 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
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