T9o
61.50%
Wins 60.61%, ties 1.78%
54s
38.50%
Wins 37.61%, ties 1.78%
T9o against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9o | 60.607 | 1.778 | 37.615 | 61.496 |
| 54s | 37.615 | 1.778 | 60.607 | 38.504 |
We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
T9o is ahead, but 54s is far from dead: it takes 376 of every 1,000 deals outright. About 1.78% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts T9o at 78 and 54s at 136 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9o | 49,813,000 | 1,461,000 | 30,916,000 |
| 54s | 30,916,000 | 1,461,000 | 49,813,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| T9o | 1.597 | 1.650 | 2.659 | 0.626 |
| 54s | 0.626 | 2.659 | 1.650 | 1.597 |
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
Split by what the flop looks like, T9o peaks at 66.16% on rainbow flops topped by a ten or better and bottoms out at 50.42% on low rainbow flops (nine high or lower). T9o 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 | T9o wins | Ties | 54s wins | T9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 65.580 | 1.167 | 33.253 | 66.163 |
| Rainbow, nine or lower | 5.689 | 50.117 | 0.613 | 49.270 | 50.423 |
| Two-tone | 46.667 | 59.805 | 1.002 | 39.193 | 60.306 |
| Monotone | 5.212 | 58.173 | 3.000 | 38.827 | 59.673 |
| Paired | 17.091 | 59.658 | 4.816 | 35.526 | 62.066 |
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
The table below sets each hand against its own random-hand baseline: a change of +9.97 points for T9o, from 51.53%, and -2.95 for 54s, from 41.45%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9o, all flops | 61.496 | 51.532 | +9.964 | 1.19336 |
| T9o, rainbow, ten or higher | 66.163 | 51.532 | +14.631 | 1.28392 |
| T9o, rainbow, nine or lower | 50.423 | 51.532 | -1.109 | 0.97848 |
| T9o, two-tone | 60.306 | 51.532 | +8.774 | 1.17026 |
| T9o, monotone | 59.673 | 51.532 | +8.141 | 1.15798 |
| T9o, paired | 62.066 | 51.532 | +10.534 | 1.20442 |
| 54s, all flops | 38.504 | 41.453 | -2.949 | 0.92886 |
| 54s, rainbow, ten or higher | 33.837 | 41.453 | -7.616 | 0.81627 |
| 54s, rainbow, nine or lower | 49.577 | 41.453 | +8.124 | 1.19598 |
| 54s, two-tone | 39.694 | 41.453 | -1.759 | 0.95757 |
| 54s, monotone | 40.327 | 41.453 | -1.126 | 0.97284 |
| 54s, paired | 37.934 | 41.453 | -3.519 | 0.91511 |
Does a shared suit matter?
Does suit overlap move the numbers? T9o has 62.22% when the hands share a suit and 60.77% when they do not. T9o does better with a shared suit, by 1.45 points.
| Deals | Specific deals | Share of deals | T9o wins | Ties | 54s wins | T9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.307 | 1.822 | 36.871 | 62.218 |
| No shared suit | 24 | 50.00 | 59.907 | 1.734 | 38.359 | 60.774 |
How often this matchup comes up
T9o against 54s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says T9o gets $123.00 of it on average and 54s gets $77.00.
Over a long run, 1,000 deals split into about 606 for T9o, 376 for 54s and 18 tied.
The same matchup from the other side
The reversed view, 54s against T9o, shows 38.50% for 54s and 61.50% for T9o. It is the same count, so it redirects here.
Keep exploring
Ts9h against 5d4d 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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