A9o
65.57%
Wins 64.68%, ties 1.78%
T9s
34.43%
Wins 33.54%, ties 1.78%
A9o against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 64.683 | 1.777 | 33.540 | 65.572 |
| T9s | 33.540 | 1.777 | 64.683 | 34.428 |
A9o and T9s are an offsuit hand and a suited hand, in that order. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A9o is well ahead, and T9s needs a specific kind of board to catch up. The tie share is 1.78%: on those boards the pot is chopped and neither hand wins outright.
The hand ranking puts A9o at 25 and T9s at 64 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 39,873,000 | 1,095,000 | 20,675,000 |
| T9s | 20,675,000 | 1,095,000 | 39,873,000 |
36 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) |
|---|---|---|---|---|
| A9o | 1.905 | 1.546 | 2.982 | 0.525 |
| T9s | 0.525 | 2.982 | 1.546 | 1.905 |
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
Across the five flop textures A9o's equity moves by 13.29 points, from 61.90% on monotone flops to 75.19% on low rainbow flops (nine high or lower). A9o stays ahead on all five textures.
| Flop | Share of flops | A9o wins | Ties | T9s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.634 | 63.547 | 1.617 | 34.836 | 64.355 |
| Rainbow, nine or lower | 6.314 | 74.280 | 1.825 | 23.895 | 75.193 |
| Two-tone | 46.527 | 62.681 | 1.553 | 35.766 | 63.457 |
| Monotone | 5.192 | 60.352 | 3.101 | 36.547 | 61.902 |
| Paired | 17.333 | 69.472 | 2.196 | 28.332 | 70.570 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 60.77% for A9o and 54.03% for T9s. This opponent changes them by +4.80 and -19.60 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 65.572 | 60.773 | +4.799 | 1.07897 |
| A9o, rainbow, ten or higher | 64.355 | 60.773 | +3.582 | 1.05894 |
| A9o, rainbow, nine or lower | 75.193 | 60.773 | +14.420 | 1.23728 |
| A9o, two-tone | 63.457 | 60.773 | +2.684 | 1.04416 |
| A9o, monotone | 61.902 | 60.773 | +1.129 | 1.01858 |
| A9o, paired | 70.570 | 60.773 | +9.797 | 1.16121 |
| T9s, all flops | 34.428 | 54.028 | -19.600 | 0.63723 |
| T9s, rainbow, ten or higher | 35.645 | 54.028 | -18.383 | 0.65975 |
| T9s, rainbow, nine or lower | 24.807 | 54.028 | -29.221 | 0.45915 |
| T9s, two-tone | 36.543 | 54.028 | -17.485 | 0.67637 |
| T9s, monotone | 38.098 | 54.028 | -15.930 | 0.70515 |
| T9s, paired | 29.430 | 54.028 | -24.598 | 0.54472 |
Does a shared suit matter?
The suit split reads 66.59% for A9o with a shared suit and 65.06% without one. A9o does better with a shared suit, by 1.53 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | T9s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 65.663 | 1.848 | 32.489 | 66.587 |
| No shared suit | 24 | 66.67 | 64.192 | 1.743 | 34.065 | 65.064 |
How often this matchup comes up
This page stands for 36 specific-card matchups (0.0022% of 1,624,350 ordered deals), or 72 once you count the seats both ways (0.0044%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, A9o's average share is $131.14 (a gain of $31.14) and T9s' is $68.86 (a loss of $31.14).
A thousand deals look like this: A9o takes 647, T9s takes 335, 18 are ties.
The same matchup from the other side
One page covers both views. From T9s' side the equity is 34.43%, and from A9o's side it is 65.57%.
Keep exploring
The calculator link fills in As9h against Td9d, 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
We counted every case. Each suit pattern of the 36 specific A9o against T9s 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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