AA
77.80%
Wins 77.62%, ties 0.36%
T9s
22.20%
Wins 22.02%, ties 0.36%
AA against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 77.615 | 0.362 | 22.023 | 77.796 |
| T9s | 22.023 | 0.362 | 77.615 | 22.204 |
AA, a pocket pair, plays T9s, a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
AA is well ahead, and T9s needs a specific kind of board to catch up. Ties are 0.36% of the outcomes here; each tied board gives both hands half the pot.
By strength against a random hand, AA holds place 1 of 169 and T9s holds place 64.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 31,896,000 | 149,000 | 9,050,000 |
| T9s | 9,050,000 | 149,000 | 31,896,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| AA | 3.504 | 1.288 | 4.541 | 0.285 |
| T9s | 0.285 | 4.541 | 1.288 | 3.504 |
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: AA holds 82.25% on paired flops and 72.79% on monotone flops. AA stays ahead on all five textures.
| Flop | Share of flops | AA wins | Ties | T9s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 78.633 | 0.187 | 21.180 | 78.727 |
| Rainbow, nine or lower | 7.042 | 80.142 | 0.757 | 19.101 | 80.520 |
| Two-tone | 46.545 | 75.662 | 0.296 | 24.042 | 75.810 |
| Monotone | 5.212 | 71.588 | 2.397 | 26.015 | 72.786 |
| Paired | 17.334 | 82.242 | 0.007 | 17.751 | 82.245 |
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
Start from the random-hand figures, 85.20% for AA and 54.03% for T9s. This opponent changes them by -7.40 and -31.83 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 77.796 | 85.204 | -7.408 | 0.91306 |
| AA, rainbow, ten or higher | 78.727 | 85.204 | -6.477 | 0.92398 |
| AA, rainbow, nine or lower | 80.520 | 85.204 | -4.684 | 0.94503 |
| AA, two-tone | 75.810 | 85.204 | -9.394 | 0.88975 |
| AA, monotone | 72.786 | 85.204 | -12.418 | 0.85426 |
| AA, paired | 82.245 | 85.204 | -2.959 | 0.96527 |
| T9s, all flops | 22.204 | 54.028 | -31.824 | 0.41097 |
| T9s, rainbow, ten or higher | 21.273 | 54.028 | -32.755 | 0.39374 |
| T9s, rainbow, nine or lower | 19.480 | 54.028 | -34.548 | 0.36055 |
| T9s, two-tone | 24.190 | 54.028 | -29.838 | 0.44773 |
| T9s, monotone | 27.214 | 54.028 | -26.814 | 0.50370 |
| T9s, paired | 17.755 | 54.028 | -36.273 | 0.32863 |
Does a shared suit matter?
Split by suits, the deals give AA 78.36% when the hands overlap in a suit and 77.24% when they do not. AA does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | T9s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 78.155 | 0.404 | 21.441 | 78.357 |
| No shared suit | 12 | 50.00 | 77.075 | 0.320 | 22.605 | 77.235 |
How often this matchup comes up
AA against T9s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AA's average share is $155.60 (a gain of $55.60) and T9s' is $44.40 (a loss of $55.60).
Per 1,000 deals: AA wins about 776, T9s wins about 220, and about 4 end in a split pot.
The same matchup from the other side
If you came looking for T9s against AA, the numbers are the same with the hands swapped: 22.20% and 77.80%.
Keep exploring
Try AsAh against Td9d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Each figure is a complete count over boards. Take the 24 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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