ATo
59.39%
Wins 59.18%, ties 0.42%
98s
40.61%
Wins 40.40%, ties 0.42%
ATo against 98s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 59.181 | 0.416 | 40.403 | 59.389 |
| 98s | 40.403 | 0.416 | 59.181 | 40.611 |
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.
ATo is ahead, but 98s is far from dead: it takes 404 of every 1,000 deals outright. The tie share is 0.42%: on those boards the pot is chopped and neither hand wins outright.
Place 19 of 169 belongs to ATo and place 83 belongs to 98s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 48,641,000 | 342,000 | 33,207,000 |
| 98s | 33,207,000 | 342,000 | 48,641,000 |
The total is exact: 48 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and 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) |
|---|---|---|---|---|
| ATo | 1.462 | 1.690 | 2.475 | 0.684 |
| 98s | 0.684 | 2.475 | 1.690 | 1.462 |
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: ATo holds 65.89% on rainbow flops topped by a ten or better and 39.07% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 98s is the one ahead.
| Flop | Share of flops | ATo wins | Ties | 98s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 65.804 | 0.181 | 34.015 | 65.894 |
| Rainbow, nine or lower | 6.313 | 38.819 | 0.509 | 60.672 | 39.074 |
| Two-tone | 46.667 | 57.599 | 0.231 | 42.170 | 57.714 |
| Monotone | 5.212 | 56.558 | 2.348 | 41.094 | 57.732 |
| Paired | 17.091 | 62.245 | 0.637 | 37.118 | 62.563 |
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
Against one random hand instead, ATo holds 62.72% and 98s holds 50.80%. Facing each other changes that by -3.33 points for ATo and -10.19 points for 98s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 59.389 | 62.722 | -3.333 | 0.94686 |
| ATo, rainbow, ten or higher | 65.894 | 62.722 | +3.172 | 1.05057 |
| ATo, rainbow, nine or lower | 39.074 | 62.722 | -23.648 | 0.62297 |
| ATo, two-tone | 57.714 | 62.722 | -5.008 | 0.92016 |
| ATo, monotone | 57.732 | 62.722 | -4.990 | 0.92044 |
| ATo, paired | 62.563 | 62.722 | -0.159 | 0.99747 |
| 98s, all flops | 40.611 | 50.801 | -10.190 | 0.79941 |
| 98s, rainbow, ten or higher | 34.106 | 50.801 | -16.695 | 0.67136 |
| 98s, rainbow, nine or lower | 60.926 | 50.801 | +10.125 | 1.19931 |
| 98s, two-tone | 42.286 | 50.801 | -8.515 | 0.83239 |
| 98s, monotone | 42.268 | 50.801 | -8.533 | 0.83203 |
| 98s, paired | 37.437 | 50.801 | -13.364 | 0.73693 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common ATo has 60.04% equity, and with none in common it has 58.73%. ATo does better with a shared suit, by 1.31 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 98s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.815 | 0.457 | 39.728 | 60.044 |
| No shared suit | 24 | 50.00 | 58.547 | 0.374 | 41.079 | 58.734 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are ATo in one seat and 98s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average ATo takes back $118.78 of it, which is $18.78 more than it put in, and 98s takes back $81.22, $18.78 less than it put in.
Out of 1,000 deals you should see around 592 outright wins for ATo, 404 for 98s, and 4 split pots.
The same matchup from the other side
98s against ATo adds nothing new: it is 40.61% for 98s and 59.39% for ATo, the same figures reversed.
Keep exploring
AsTh against 9d8d 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
Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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