T9o
61.59%
Wins 60.70%, ties 1.78%
43s
38.41%
Wins 37.52%, ties 1.78%
T9o against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9o | 60.702 | 1.783 | 37.515 | 61.593 |
| 43s | 37.515 | 1.783 | 60.702 | 38.407 |
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 43s is far from dead: it takes 375 of every 1,000 deals outright. A split pot comes up on 1.78% of boards, so the wins and the equity differ by half of that.
In the ranking of all 169 starting hands, T9o is number 78 and 43s is number 150.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9o | 49,891,000 | 1,465,000 | 30,834,000 |
| 43s | 30,834,000 | 1,465,000 | 49,891,000 |
48 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) |
|---|---|---|---|---|
| T9o | 1.604 | 1.647 | 2.666 | 0.624 |
| 43s | 0.624 | 2.666 | 1.647 | 1.604 |
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
T9o prefers rainbow flops topped by a ten or better, where it holds 66.19%, and likes low rainbow flops (nine high or lower) least, where it holds 50.52%. 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 | 43s wins | T9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 65.610 | 1.167 | 33.223 | 66.193 |
| Rainbow, nine or lower | 5.689 | 50.216 | 0.613 | 49.171 | 50.523 |
| Two-tone | 46.667 | 59.854 | 1.003 | 39.143 | 60.355 |
| Monotone | 5.212 | 58.269 | 3.067 | 38.664 | 59.803 |
| Paired | 17.091 | 59.971 | 4.824 | 35.205 | 62.383 |
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
Each hand has a baseline against a random hand: 51.53% for T9o, 38.64% for 43s. Here the change is +10.06 and -0.23 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9o, all flops | 61.593 | 51.532 | +10.061 | 1.19524 |
| T9o, rainbow, ten or higher | 66.193 | 51.532 | +14.661 | 1.28450 |
| T9o, rainbow, nine or lower | 50.523 | 51.532 | -1.009 | 0.98042 |
| T9o, two-tone | 60.355 | 51.532 | +8.823 | 1.17121 |
| T9o, monotone | 59.803 | 51.532 | +8.271 | 1.16050 |
| T9o, paired | 62.383 | 51.532 | +10.851 | 1.21057 |
| 43s, all flops | 38.407 | 38.642 | -0.235 | 0.99392 |
| 43s, rainbow, ten or higher | 33.807 | 38.642 | -4.835 | 0.87488 |
| 43s, rainbow, nine or lower | 49.477 | 38.642 | +10.835 | 1.28039 |
| 43s, two-tone | 39.645 | 38.642 | +1.003 | 1.02596 |
| 43s, monotone | 40.197 | 38.642 | +1.555 | 1.04024 |
| 43s, paired | 37.617 | 38.642 | -1.025 | 0.97347 |
Does a shared suit matter?
When the hands share a suit, T9o holds 62.32%; when they do not, it holds 60.87%. T9o does better with a shared suit, by 1.45 points.
| Deals | Specific deals | Share of deals | T9o wins | Ties | 43s wins | T9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.408 | 1.823 | 36.769 | 62.320 |
| No shared suit | 24 | 50.00 | 59.995 | 1.743 | 38.262 | 60.866 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average T9o takes back $123.18 of it, which is $23.18 more than it put in, and 43s takes back $76.82, $23.18 less than it put in.
Think in thousands: about 607 of 1,000 go to T9o, about 375 go to 43s, and about 18 are chopped.
The same matchup from the other side
The mirror image, 43s against T9o, is 38.41% to 61.59%, and its address redirects to this page.
Keep exploring
Try Ts9h against 4d3d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of T9o against 43s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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