QJo
62.86%
Wins 62.40%, ties 0.91%
T8s
37.14%
Wins 36.69%, ties 0.91%
QJo against T8s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 62.400 | 0.909 | 36.691 | 62.855 |
| T8s | 36.691 | 0.909 | 62.400 | 37.145 |
The first hand is an offsuit hand; the second is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 0.91% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, QJo is number 39 of the 169 starting hands and T8s is number 73.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 51,287,000 | 747,000 | 30,157,000 |
| T8s | 30,157,000 | 747,000 | 51,287,000 |
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) |
|---|---|---|---|---|
| QJo | 1.692 | 1.603 | 2.725 | 0.591 |
| T8s | 0.591 | 2.725 | 1.603 | 1.692 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and QJo is strongest on rainbow flops topped by a ten or better (68.14%) and weakest on low rainbow flops (nine high or lower) (51.98%). QJo 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 | QJo wins | Ties | T8s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 67.909 | 0.462 | 31.629 | 68.140 |
| Rainbow, nine or lower | 7.042 | 51.646 | 0.658 | 47.696 | 51.975 |
| Two-tone | 46.667 | 61.331 | 0.475 | 38.194 | 61.568 |
| Monotone | 5.212 | 59.479 | 2.535 | 37.986 | 60.747 |
| Paired | 17.091 | 62.909 | 2.331 | 34.760 | 64.075 |
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, QJo changes by +4.72 points (baseline 58.14%) and T8s by -15.19 points (baseline 52.33%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 62.855 | 58.135 | +4.720 | 1.08119 |
| QJo, rainbow, ten or higher | 68.140 | 58.135 | +10.005 | 1.17210 |
| QJo, rainbow, nine or lower | 51.975 | 58.135 | -6.160 | 0.89404 |
| QJo, two-tone | 61.568 | 58.135 | +3.433 | 1.05905 |
| QJo, monotone | 60.747 | 58.135 | +2.612 | 1.04493 |
| QJo, paired | 64.075 | 58.135 | +5.940 | 1.10218 |
| T8s, all flops | 37.145 | 52.334 | -15.189 | 0.70977 |
| T8s, rainbow, ten or higher | 31.860 | 52.334 | -20.474 | 0.60878 |
| T8s, rainbow, nine or lower | 48.025 | 52.334 | -4.309 | 0.91766 |
| T8s, two-tone | 38.432 | 52.334 | -13.902 | 0.73436 |
| T8s, monotone | 39.253 | 52.334 | -13.081 | 0.75005 |
| T8s, paired | 35.925 | 52.334 | -16.409 | 0.68646 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and QJo holds 63.56%. In 24 they do not, and it holds 62.15%. QJo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | T8s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 63.083 | 0.950 | 35.967 | 63.558 |
| No shared suit | 24 | 50.00 | 61.717 | 0.869 | 37.414 | 62.151 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QJo against T8s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
With $100 from each side, the $200 pot is split on average as $125.72 for QJo and $74.28 for T8s; the first side gains $25.72 per all-in and the second gives up $25.72.
Over a long run, 1,000 deals split into about 624 for QJo, 367 for T8s and 9 tied.
The same matchup from the other side
The mirror image, T8s against QJo, is 37.14% to 62.86%, and its address redirects to this page.
Keep exploring
QsJh against Td8d 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
This is an exact count with no sampling. For the 48 ways to deal one QJo and one T8s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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