A9o
66.21%
Wins 65.15%, ties 2.11%
98s
33.79%
Wins 32.74%, ties 2.11%
A9o against 98s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 65.148 | 2.114 | 32.738 | 66.205 |
| 98s | 32.738 | 2.114 | 65.148 | 33.795 |
A9o and 98s are an offsuit hand and a suited hand, in that order. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
A9o is the clear favorite, though 98s gets there on roughly one board in 3. The tie share is 2.11%: on those boards the pot is chopped and neither hand wins outright.
By strength against a random hand, A9o holds place 25 of 169 and 98s holds place 83.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 40,159,000 | 1,303,000 | 20,181,000 |
| 98s | 20,181,000 | 1,303,000 | 40,159,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| A9o | 1.959 | 1.535 | 3.055 | 0.510 |
| 98s | 0.510 | 3.055 | 1.535 | 1.959 |
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
Paired flops are the best for A9o (71.29%); low rainbow flops (nine high or lower) are the worst (54.03%). A9o stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A9o wins | Ties | 98s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.293 | 69.273 | 1.768 | 28.959 | 70.157 |
| Rainbow, nine or lower | 5.654 | 52.382 | 3.287 | 44.331 | 54.025 |
| Two-tone | 46.527 | 63.109 | 1.918 | 34.973 | 64.068 |
| Monotone | 5.192 | 60.706 | 3.376 | 35.918 | 62.394 |
| Paired | 17.334 | 70.094 | 2.386 | 27.520 | 71.287 |
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, A9o holds 60.77% and 98s holds 50.80%. Facing each other changes that by +5.44 points for A9o and -17.01 points for 98s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 66.205 | 60.773 | +5.432 | 1.08938 |
| A9o, rainbow, ten or higher | 70.157 | 60.773 | +9.384 | 1.15441 |
| A9o, rainbow, nine or lower | 54.025 | 60.773 | -6.748 | 0.88896 |
| A9o, two-tone | 64.068 | 60.773 | +3.295 | 1.05422 |
| A9o, monotone | 62.394 | 60.773 | +1.621 | 1.02667 |
| A9o, paired | 71.287 | 60.773 | +10.514 | 1.17300 |
| 98s, all flops | 33.795 | 50.801 | -17.006 | 0.66524 |
| 98s, rainbow, ten or higher | 29.843 | 50.801 | -20.958 | 0.58745 |
| 98s, rainbow, nine or lower | 45.975 | 50.801 | -4.826 | 0.90500 |
| 98s, two-tone | 35.932 | 50.801 | -14.869 | 0.70731 |
| 98s, monotone | 37.606 | 50.801 | -13.195 | 0.74026 |
| 98s, paired | 28.713 | 50.801 | -22.088 | 0.56521 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, A9o has 67.23%; looking only at deals where they do not, 65.69%. A9o does better with a shared suit, by 1.54 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 98s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 66.135 | 2.190 | 31.675 | 67.230 |
| No shared suit | 24 | 66.67 | 64.654 | 2.076 | 33.270 | 65.692 |
How often this matchup comes up
A9o against 98s is made up of 36 specific-card matchups in one seat order, 0.0022% of the 1,624,350 ordered deals, and 72 counting both seat orders, 0.0044%.
A worked example
Put $100 each into a $200 pot and deal every board once: A9o averages $132.42 back, ahead of its $100 by $32.42, while 98s averages $67.58, short of its $100 by $32.42.
Per 1,000 deals: A9o wins about 652, 98s wins about 327, and about 21 end in a split pot.
The same matchup from the other side
Read it from the other side: 98s against A9o is the same matchup with the numbers swapped, so 98s holds 33.79% and A9o holds 66.21%. That address sends you back to this page.
Keep exploring
The calculator link fills in As9h against 9d8d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
Each figure is a complete count over boards. Take the 36 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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