AJo
60.24%
Wins 60.03%, ties 0.42%
97s
39.76%
Wins 39.55%, ties 0.42%
AJo against 97s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 60.027 | 0.420 | 39.553 | 60.237 |
| 97s | 39.553 | 0.420 | 60.027 | 39.763 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.42%: on those boards the pot is chopped and neither hand wins outright.
AJo ranks number 15 of 169 starting hands, and 97s ranks number 94, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 49,337,000 | 345,000 | 32,509,000 |
| 97s | 32,509,000 | 345,000 | 49,337,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| AJo | 1.515 | 1.666 | 2.528 | 0.660 |
| 97s | 0.660 | 2.528 | 1.666 | 1.515 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Split by what the flop looks like, AJo peaks at 67.60% on rainbow flops topped by a ten or better and bottoms out at 37.46% on low rainbow flops (nine high or lower). AJo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | AJo wins | Ties | 97s wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.513 | 0.171 | 32.316 | 67.598 |
| Rainbow, nine or lower | 6.313 | 37.173 | 0.566 | 62.261 | 37.456 |
| Two-tone | 46.667 | 58.524 | 0.236 | 41.240 | 58.642 |
| Monotone | 5.212 | 57.272 | 2.352 | 40.376 | 58.448 |
| Paired | 17.091 | 62.591 | 0.636 | 36.773 | 62.909 |
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
Against one random hand instead, AJo holds 63.56% and 97s holds 49.12%. Facing each other changes that by -3.32 points for AJo and -9.36 points for 97s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 60.237 | 63.563 | -3.326 | 0.94767 |
| AJo, rainbow, ten or higher | 67.598 | 63.563 | +4.035 | 1.06348 |
| AJo, rainbow, nine or lower | 37.456 | 63.563 | -26.107 | 0.58927 |
| AJo, two-tone | 58.642 | 63.563 | -4.921 | 0.92258 |
| AJo, monotone | 58.448 | 63.563 | -5.115 | 0.91953 |
| AJo, paired | 62.909 | 63.563 | -0.654 | 0.98971 |
| 97s, all flops | 39.763 | 49.118 | -9.355 | 0.80954 |
| 97s, rainbow, ten or higher | 32.402 | 49.118 | -16.716 | 0.65968 |
| 97s, rainbow, nine or lower | 62.544 | 49.118 | +13.426 | 1.27334 |
| 97s, two-tone | 41.358 | 49.118 | -7.760 | 0.84201 |
| 97s, monotone | 41.552 | 49.118 | -7.566 | 0.84596 |
| 97s, paired | 37.091 | 49.118 | -12.027 | 0.75514 |
Does a shared suit matter?
Does suit overlap move the numbers? AJo has 60.94% when the hands share a suit and 59.54% when they do not. AJo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 97s wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.706 | 0.461 | 38.833 | 60.937 |
| No shared suit | 24 | 50.00 | 59.349 | 0.378 | 40.273 | 59.538 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
With $100 from each side, the $200 pot is split on average as $120.48 for AJo and $79.52 for 97s; the first side gains $20.48 per all-in and the second gives up $20.48.
Out of 1,000 deals you should see around 600 outright wins for AJo, 396 for 97s, and 4 split pots.
The same matchup from the other side
97s versus AJo is this same page seen from the other hand: 39.76% for 97s, 60.24% for AJo.
Keep exploring
Open the calculator with AsJh against 9d7d 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
We counted every case. Each suit pattern of the 48 specific AJo against 97s 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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