QJo
62.14%
Wins 61.68%, ties 0.91%
T9s
37.86%
Wins 37.41%, ties 0.91%
QJo against T9s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 61.682 | 0.914 | 37.404 | 62.139 |
| T9s | 37.404 | 0.914 | 61.682 | 37.861 |
QJo and T9s are an offsuit hand and a suited hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 24.28 point lead is real, and T9s still takes about 374 of every 1,000 deals outright. Ties are part of the picture: 0.91% of boards end in a split pot, and each side counts that as half a win.
The hand ranking puts QJo at 39 and T9s at 64 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 50,697,000 | 751,000 | 30,743,000 |
| T9s | 30,743,000 | 751,000 | 50,697,000 |
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) |
|---|---|---|---|---|
| QJo | 1.641 | 1.621 | 2.674 | 0.609 |
| T9s | 0.609 | 2.674 | 1.621 | 1.641 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
QJo prefers rainbow flops topped by a ten or better, where it holds 66.77%, and likes low rainbow flops (nine high or lower) least, where it holds 52.97%. QJo stays ahead on all five textures.
| Flop | Share of flops | QJo wins | Ties | T9s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 66.541 | 0.452 | 33.007 | 66.767 |
| Rainbow, nine or lower | 7.042 | 52.607 | 0.729 | 46.664 | 52.971 |
| Two-tone | 46.667 | 60.623 | 0.481 | 38.896 | 60.863 |
| Monotone | 5.212 | 58.992 | 2.538 | 38.470 | 60.261 |
| Paired | 17.091 | 62.311 | 2.327 | 35.362 | 63.475 |
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
A random hand would give QJo 58.14% and T9s 54.03%. Against each other the change is +4.00 points for QJo and -16.17 for T9s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 62.139 | 58.135 | +4.004 | 1.06887 |
| QJo, rainbow, ten or higher | 66.767 | 58.135 | +8.632 | 1.14848 |
| QJo, rainbow, nine or lower | 52.971 | 58.135 | -5.164 | 0.91117 |
| QJo, two-tone | 60.863 | 58.135 | +2.728 | 1.04693 |
| QJo, monotone | 60.261 | 58.135 | +2.126 | 1.03657 |
| QJo, paired | 63.475 | 58.135 | +5.340 | 1.09186 |
| T9s, all flops | 37.861 | 54.028 | -16.167 | 0.70077 |
| T9s, rainbow, ten or higher | 33.233 | 54.028 | -20.795 | 0.61511 |
| T9s, rainbow, nine or lower | 47.029 | 54.028 | -6.999 | 0.87046 |
| T9s, two-tone | 39.137 | 54.028 | -14.891 | 0.72438 |
| T9s, monotone | 39.739 | 54.028 | -14.289 | 0.73553 |
| T9s, paired | 36.525 | 54.028 | -17.503 | 0.67604 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QJo has 62.82% equity, and with none in common it has 61.46%. QJo does better with a shared suit, by 1.36 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | T9s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 62.339 | 0.955 | 36.706 | 62.817 |
| No shared suit | 24 | 50.00 | 61.024 | 0.874 | 38.102 | 61.461 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QJo against T9s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. QJo is worth $124.28 on average (+$24.28); T9s is worth $75.72 (-$24.28).
In 1,000 deals of exactly this matchup, expect about 617 won outright by QJo, about 374 won outright by T9s and about 9 split.
The same matchup from the other side
The mirror image, T9s against QJo, is 37.86% to 62.14%, and its address redirects to this page.
Keep exploring
Open the calculator with QsJh against Td9d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 48 ways to deal one QJo and one T9s 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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