T9o
62.85%
Wins 61.98%, ties 1.75%
86s
37.15%
Wins 36.27%, ties 1.75%
T9o against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| T9o | 61.975 | 1.749 | 36.276 | 62.850 |
| 86s | 36.276 | 1.749 | 61.975 | 37.150 |
One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
T9o is ahead, but 86s is far from dead: it takes 363 of every 1,000 deals outright. A split pot comes up on 1.75% of boards, so the wins and the equity differ by half of that.
Among the 169 starting hands, T9o is number 78 and 86s is number 110 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| T9o | 50,938,000 | 1,438,000 | 29,815,000 |
| 86s | 29,815,000 | 1,438,000 | 50,938,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| T9o | 1.692 | 1.614 | 2.757 | 0.591 |
| 86s | 0.591 | 2.757 | 1.614 | 1.692 |
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
By flop texture, T9o's equity runs from 48.64% on low rainbow flops (nine high or lower) up to 68.27% on rainbow flops topped by a ten or better. Watch for low rainbow flops (nine high or lower): on those flops 86s holds the better equity.
| Flop | Share of flops | T9o wins | Ties | 86s wins | T9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 67.692 | 1.148 | 31.160 | 68.266 |
| Rainbow, nine or lower | 5.689 | 48.465 | 0.351 | 51.184 | 48.641 |
| Two-tone | 46.667 | 61.280 | 0.942 | 37.778 | 61.751 |
| Monotone | 5.212 | 59.437 | 2.896 | 37.667 | 60.885 |
| Paired | 17.091 | 60.670 | 4.956 | 34.374 | 63.148 |
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
Relative to a random opponent, T9o changes by +11.32 points (baseline 51.53%) and 86s by -9.09 points (baseline 46.24%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| T9o, all flops | 62.850 | 51.532 | +11.318 | 1.21963 |
| T9o, rainbow, ten or higher | 68.266 | 51.532 | +16.734 | 1.32473 |
| T9o, rainbow, nine or lower | 48.641 | 51.532 | -2.891 | 0.94390 |
| T9o, two-tone | 61.751 | 51.532 | +10.219 | 1.19830 |
| T9o, monotone | 60.885 | 51.532 | +9.353 | 1.18150 |
| T9o, paired | 63.148 | 51.532 | +11.616 | 1.22541 |
| 86s, all flops | 37.150 | 46.243 | -9.093 | 0.80336 |
| 86s, rainbow, ten or higher | 31.734 | 46.243 | -14.509 | 0.68624 |
| 86s, rainbow, nine or lower | 51.359 | 46.243 | +5.116 | 1.11063 |
| 86s, two-tone | 38.249 | 46.243 | -7.994 | 0.82713 |
| 86s, monotone | 39.115 | 46.243 | -7.128 | 0.84586 |
| 86s, paired | 36.852 | 46.243 | -9.391 | 0.79692 |
Does a shared suit matter?
When the hands share a suit, T9o holds 63.56%; when they do not, it holds 62.14%. T9o does better with a shared suit, by 1.42 points.
| Deals | Specific deals | Share of deals | T9o wins | Ties | 86s wins | T9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 62.659 | 1.793 | 35.548 | 63.555 |
| No shared suit | 24 | 50.00 | 61.292 | 1.704 | 37.004 | 62.144 |
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
To see what the equity is worth, imagine $100 each in a $200 pot. T9o is worth $125.70 on average (+$25.70); 86s is worth $74.30 (-$25.70).
Run 1,000 deals and the tally comes out near 620 for T9o, 363 for 86s and 17 ties.
The same matchup from the other side
86s versus T9o is this same page seen from the other hand: 37.15% for 86s, 62.85% for T9o.
Keep exploring
Try Ts9h against 8d6d 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 48 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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