QJs
63.30%
Wins 62.82%, ties 0.96%
53s
36.70%
Wins 36.22%, ties 0.96%
QJs against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QJs | 62.823 | 0.963 | 36.214 | 63.304 |
| 53s | 36.214 | 0.963 | 62.823 | 36.696 |
Two suited hands meet here: QJs against 53s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 26.60 point lead is real, and 53s still takes about 362 of every 1,000 deals outright. 0.96% of boards are ties, so the equity of each hand is its win rate plus half of that.
In the ranking of all 169 starting hands, QJs is number 28 and 53s is number 146.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QJs | 17,212,000 | 264,000 | 9,922,000 |
| 53s | 9,922,000 | 264,000 | 17,212,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| QJs | 1.725 | 1.592 | 2.761 | 0.580 |
| 53s | 0.580 | 2.761 | 1.592 | 1.725 |
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
QJs prefers rainbow flops topped by a ten or better, where it holds 70.28%, and likes low rainbow flops (nine high or lower) least, where it holds 37.85%. Low rainbow flops (nine high or lower) favor 53s, the hand that is behind overall.
| Flop | Share of flops | QJs wins | Ties | 53s wins | QJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.064 | 0.437 | 29.499 | 70.282 |
| Rainbow, nine or lower | 6.314 | 37.379 | 0.934 | 61.687 | 37.846 |
| Two-tone | 46.727 | 62.442 | 0.496 | 37.062 | 62.690 |
| Monotone | 5.273 | 58.681 | 3.681 | 37.638 | 60.522 |
| Paired | 17.091 | 64.119 | 2.172 | 33.709 | 65.205 |
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: 60.26% for QJs, 39.69% for 53s. Here the change is +3.04 and -2.99 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QJs, all flops | 63.304 | 60.259 | +3.045 | 1.05053 |
| QJs, rainbow, ten or higher | 70.282 | 60.259 | +10.023 | 1.16633 |
| QJs, rainbow, nine or lower | 37.846 | 60.259 | -22.413 | 0.62806 |
| QJs, two-tone | 62.690 | 60.259 | +2.431 | 1.04034 |
| QJs, monotone | 60.522 | 60.259 | +0.263 | 1.00436 |
| QJs, paired | 65.205 | 60.259 | +4.946 | 1.08208 |
| 53s, all flops | 36.696 | 39.693 | -2.997 | 0.92450 |
| 53s, rainbow, ten or higher | 29.718 | 39.693 | -9.975 | 0.74870 |
| 53s, rainbow, nine or lower | 62.154 | 39.693 | +22.461 | 1.56587 |
| 53s, two-tone | 37.310 | 39.693 | -2.383 | 0.93996 |
| 53s, monotone | 39.478 | 39.693 | -0.215 | 0.99458 |
| 53s, paired | 34.795 | 39.693 | -4.898 | 0.87660 |
Does a shared suit matter?
The suit split reads 65.65% for QJs with a shared suit and 62.52% without one. QJs does better with a shared suit, by 3.13 points.
| Deals | Specific deals | Share of deals | QJs wins | Ties | 53s wins | QJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.114 | 1.065 | 33.821 | 65.646 |
| No shared suit | 12 | 75.00 | 62.059 | 0.930 | 37.011 | 62.524 |
How often this matchup comes up
How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are QJs against 53s, and 32 (0.0020%) 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 QJs takes back $126.60 of it, which is $26.60 more than it put in, and 53s takes back $73.40, $26.60 less than it put in.
Think in thousands: about 628 of 1,000 go to QJs, about 362 go to 53s, and about 10 are chopped.
The same matchup from the other side
If you came looking for 53s against QJs, the numbers are the same with the hands swapped: 36.70% and 63.30%.
Keep exploring
Open the calculator with QsJs against 5h3h 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 16 specific deals of QJs against 53s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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