QTo
68.46%
Wins 66.39%, ties 4.12%
T8s
31.54%
Wins 29.49%, ties 4.12%
QTo against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 66.394 | 4.124 | 29.482 | 68.456 |
| T8s | 29.482 | 4.124 | 66.394 | 31.544 |
One side is an offsuit hand, the other is a suited hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
QTo is well ahead, and T8s needs a specific kind of board to catch up. Of every 100 boards, about 4.12 are split pots, and the equity figures already include them.
Place 47 of 169 belongs to QTo and place 73 belongs to T8s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 40,927,000 | 2,542,000 | 18,174,000 |
| T8s | 18,174,000 | 2,542,000 | 40,927,000 |
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) |
|---|---|---|---|---|
| QTo | 2.170 | 1.506 | 3.392 | 0.461 |
| T8s | 0.461 | 3.392 | 1.506 | 2.170 |
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, QTo peaks at 74.38% on rainbow flops topped by a ten or better and bottoms out at 55.99% on low rainbow flops (nine high or lower). QTo 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 | QTo wins | Ties | T8s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.905 | 72.393 | 3.974 | 23.633 | 74.380 |
| Rainbow, nine or lower | 7.042 | 54.876 | 2.222 | 42.902 | 55.987 |
| Two-tone | 46.527 | 65.094 | 3.379 | 31.527 | 66.783 |
| Monotone | 5.192 | 61.927 | 4.622 | 33.451 | 64.238 |
| Paired | 17.334 | 67.627 | 6.955 | 25.418 | 71.105 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +11.17 points for QTo, from 57.29%, and -20.79 for T8s, from 52.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 68.456 | 57.291 | +11.165 | 1.19488 |
| QTo, rainbow, ten or higher | 74.380 | 57.291 | +17.089 | 1.29828 |
| QTo, rainbow, nine or lower | 55.987 | 57.291 | -1.304 | 0.97724 |
| QTo, two-tone | 66.783 | 57.291 | +9.492 | 1.16568 |
| QTo, monotone | 64.238 | 57.291 | +6.947 | 1.12126 |
| QTo, paired | 71.105 | 57.291 | +13.814 | 1.24112 |
| T8s, all flops | 31.544 | 52.334 | -20.790 | 0.60274 |
| T8s, rainbow, ten or higher | 25.620 | 52.334 | -26.714 | 0.48955 |
| T8s, rainbow, nine or lower | 44.013 | 52.334 | -8.321 | 0.84100 |
| T8s, two-tone | 33.217 | 52.334 | -19.117 | 0.63471 |
| T8s, monotone | 35.762 | 52.334 | -16.572 | 0.68334 |
| T8s, paired | 28.895 | 52.334 | -23.439 | 0.55213 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and QTo holds 69.49%. In 24 they do not, and it holds 67.94%. QTo does better with a shared suit, by 1.55 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | T8s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 67.367 | 4.245 | 28.388 | 69.490 |
| No shared suit | 24 | 66.67 | 65.907 | 4.064 | 30.029 | 67.939 |
How often this matchup comes up
How often does it happen? 36 of the 1,624,350 ordered deals (0.0022%) are QTo against T8s, and 72 (0.0044%) if either hand may sit in either seat.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average QTo takes back $136.92 of it, which is $36.92 more than it put in, and T8s takes back $63.08, $36.92 less than it put in.
Think in thousands: about 664 of 1,000 go to QTo, about 295 go to T8s, and about 41 are chopped.
The same matchup from the other side
T8s versus QTo is this same page seen from the other hand: 31.54% for T8s, 68.46% for QTo.
Keep exploring
The calculator link fills in QsTh against Td8d, 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
Each figure is a complete count over boards. Take the 36 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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