QJo
61.17%
Wins 60.69%, ties 0.96%
43s
38.83%
Wins 38.35%, ties 0.96%
QJo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.692 | 0.956 | 38.352 | 61.170 |
| 43s | 38.352 | 0.956 | 60.692 | 38.830 |
One side is an offsuit hand, the other is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 22.34 point lead is real, and 43s still takes about 383 of every 1,000 deals outright. Ties are 0.96% of the outcomes here; each tied board gives both hands half the pot.
For context, QJo sits at number 39 of 169 starting hands and 43s at number 150 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 49,883,000 | 786,000 | 31,522,000 |
| 43s | 31,522,000 | 786,000 | 49,883,000 |
Exact total: 48 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QJo | 1.575 | 1.648 | 2.607 | 0.635 |
| 43s | 0.635 | 2.607 | 1.648 | 1.575 |
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
The flop changes the picture. QJo does best on rainbow flops topped by a ten or better, at 69.19%, and worst on low rainbow flops (nine high or lower), at 36.64%. On low rainbow flops (nine high or lower) the numbers flip and 43s is the one ahead.
| Flop | Share of flops | QJo wins | Ties | 43s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.963 | 0.450 | 30.587 | 69.188 |
| Rainbow, nine or lower | 6.313 | 36.113 | 1.056 | 62.831 | 36.641 |
| Two-tone | 46.667 | 59.392 | 0.540 | 40.068 | 59.662 |
| Monotone | 5.212 | 57.948 | 2.715 | 39.337 | 59.305 |
| Paired | 17.091 | 62.195 | 2.251 | 35.554 | 63.320 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Against one random hand instead, QJo holds 58.14% and 43s holds 38.64%. Facing each other changes that by +3.03 points for QJo and +0.19 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 61.170 | 58.135 | +3.035 | 1.05221 |
| QJo, rainbow, ten or higher | 69.188 | 58.135 | +11.053 | 1.19013 |
| QJo, rainbow, nine or lower | 36.641 | 58.135 | -21.494 | 0.63027 |
| QJo, two-tone | 59.662 | 58.135 | +1.527 | 1.02627 |
| QJo, monotone | 59.305 | 58.135 | +1.170 | 1.02013 |
| QJo, paired | 63.320 | 58.135 | +5.185 | 1.08919 |
| 43s, all flops | 38.830 | 38.642 | +0.188 | 1.00487 |
| 43s, rainbow, ten or higher | 30.812 | 38.642 | -7.830 | 0.79737 |
| 43s, rainbow, nine or lower | 63.359 | 38.642 | +24.717 | 1.63964 |
| 43s, two-tone | 40.338 | 38.642 | +1.696 | 1.04389 |
| 43s, monotone | 40.695 | 38.642 | +2.053 | 1.05313 |
| 43s, paired | 36.680 | 38.642 | -1.962 | 0.94923 |
Does a shared suit matter?
When the hands share a suit, QJo holds 61.89%; when they do not, it holds 60.45%. QJo does better with a shared suit, by 1.44 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 43s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.393 | 0.993 | 37.614 | 61.889 |
| No shared suit | 24 | 50.00 | 59.991 | 0.919 | 39.090 | 60.450 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QJo against 43s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QJo's average share is $122.34 (a gain of $22.34) and 43s' is $77.66 (a loss of $22.34).
Scaled to 1,000 deals, that is roughly 607 wins for QJo, 383 for 43s and 10 chopped pots.
The same matchup from the other side
Swap the hands and you get 43s with 38.83% against QJo with 61.17%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with QsJh against 4d3d 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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