QJo
60.80%
Wins 60.33%, ties 0.94%
53s
39.20%
Wins 38.73%, ties 0.94%
QJo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJo | 60.330 | 0.941 | 38.729 | 60.801 |
| 53s | 38.729 | 0.941 | 60.330 | 39.199 |
QJo and 53s are an offsuit hand and a suited hand, in that order. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.94 are split pots, and the equity figures already include them.
By strength against a random hand, QJo holds place 39 of 169 and 53s holds place 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJo | 49,586,000 | 773,000 | 31,832,000 |
| 53s | 31,832,000 | 773,000 | 49,586,000 |
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 | 1.551 | 1.658 | 2.582 | 0.645 |
| 53s | 0.645 | 2.582 | 1.658 | 1.551 |
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 69.00%, and likes low rainbow flops (nine high or lower) least, where it holds 35.37%. QJo is the favorite overall but falls behind on low rainbow flops (nine high or lower).
| Flop | Share of flops | QJo wins | Ties | 53s wins | QJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.770 | 0.450 | 30.780 | 68.995 |
| Rainbow, nine or lower | 6.313 | 34.881 | 0.977 | 64.142 | 35.370 |
| Two-tone | 46.667 | 59.026 | 0.527 | 40.447 | 59.289 |
| Monotone | 5.212 | 57.682 | 2.648 | 39.670 | 59.006 |
| Paired | 17.091 | 61.897 | 2.247 | 35.856 | 63.021 |
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
Each hand has a baseline against a random hand: 58.14% for QJo, 39.69% for 53s. Here the change is +2.66 and -0.49 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJo, all flops | 60.801 | 58.135 | +2.666 | 1.04586 |
| QJo, rainbow, ten or higher | 68.995 | 58.135 | +10.860 | 1.18681 |
| QJo, rainbow, nine or lower | 35.370 | 58.135 | -22.765 | 0.60841 |
| QJo, two-tone | 59.289 | 58.135 | +1.154 | 1.01985 |
| QJo, monotone | 59.006 | 58.135 | +0.871 | 1.01498 |
| QJo, paired | 63.021 | 58.135 | +4.886 | 1.08405 |
| 53s, all flops | 39.199 | 39.693 | -0.494 | 0.98755 |
| 53s, rainbow, ten or higher | 31.005 | 39.693 | -8.688 | 0.78112 |
| 53s, rainbow, nine or lower | 64.630 | 39.693 | +24.937 | 1.62825 |
| 53s, two-tone | 40.711 | 39.693 | +1.018 | 1.02565 |
| 53s, monotone | 40.994 | 39.693 | +1.301 | 1.03278 |
| 53s, paired | 36.979 | 39.693 | -2.714 | 0.93163 |
Does a shared suit matter?
Does suit overlap move the numbers? QJo has 61.52% when the hands share a suit and 60.09% when they do not. QJo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | QJo wins | Ties | 53s wins | QJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.027 | 0.981 | 37.992 | 61.517 |
| No shared suit | 24 | 50.00 | 59.634 | 0.901 | 39.465 | 60.085 |
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. QJo is worth $121.60 on average (+$21.60); 53s is worth $78.40 (-$21.60).
Over a long run, 1,000 deals split into about 603 for QJo, 387 for 53s and 10 tied.
The same matchup from the other side
Read it from the other side: 53s against QJo is the same matchup with the numbers swapped, so 53s holds 39.20% and QJo holds 60.80%. That address sends you back to this page.
Keep exploring
QsJh against 5d3d 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
Nothing here is simulated. The 48 deals of QJo against 53s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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