79.54%
Wins 79.31%, ties 0.47%
43s
20.46%
Wins 20.22%, ties 0.47%
QQ against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 79.306 | 0.471 | 20.223 | 79.541 | |
| 43s | 20.223 | 0.471 | 79.306 | 20.459 |
QQ, a pocket pair, plays 43s, a suited hand. The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
QQ is the clear favorite, though 43s gets there on roughly one board in 5. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 3 of 169 belongs to QQ and place 150 belongs to 43s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 32,591,000 | 194,000 | 8,311,000 | |
| 43s | 8,311,000 | 194,000 | 32,591,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| 3.888 | 1.261 | 4.945 | 0.257 | |
| 43s | 0.257 | 4.945 | 1.261 | 3.888 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
QQ prefers rainbow flops topped by a ten or better, where it holds 84.49%, and likes low rainbow flops (nine high or lower) least, where it holds 68.34%. QQ 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 | QQ wins | Ties | 43s wins | QQ equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 84.386 | 0.212 | 15.402 | 84.492 |
| Rainbow, nine or lower | 6.314 | 67.745 | 1.191 | 31.064 | 68.340 |
| Two-tone | 46.545 | 77.487 | 0.383 | 22.130 | 77.678 |
| Monotone | 5.212 | 72.909 | 2.586 | 24.505 | 74.202 |
| Paired | 17.334 | 83.115 | 0.177 | 16.708 | 83.204 |
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
Against one random hand instead, QQ holds 79.93% and 43s holds 38.64%. Facing each other changes that by -0.39 points for QQ and -18.18 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QQ, all flops | 79.541 | 79.925 | -0.384 | 0.99520 |
| QQ, rainbow, ten or higher | 84.492 | 79.925 | +4.567 | 1.05714 |
| QQ, rainbow, nine or lower | 68.340 | 79.925 | -11.585 | 0.85505 |
| QQ, two-tone | 77.678 | 79.925 | -2.247 | 0.97189 |
| QQ, monotone | 74.202 | 79.925 | -5.723 | 0.92840 |
| QQ, paired | 83.204 | 79.925 | +3.279 | 1.04103 |
| 43s, all flops | 20.459 | 38.642 | -18.183 | 0.52945 |
| 43s, rainbow, ten or higher | 15.508 | 38.642 | -23.134 | 0.40132 |
| 43s, rainbow, nine or lower | 31.660 | 38.642 | -6.982 | 0.81932 |
| 43s, two-tone | 22.322 | 38.642 | -16.320 | 0.57766 |
| 43s, monotone | 25.798 | 38.642 | -12.844 | 0.66762 |
| 43s, paired | 16.796 | 38.642 | -21.846 | 0.43466 |
Does a shared suit matter?
Of the deals of this matchup, 12 share a suit (QQ at 80.13%) and 12 do not (78.96%). QQ does better with a shared suit, by 1.17 points.
| Deals | Specific deals | Share of deals | QQ wins | Ties | 43s wins | QQ equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 79.872 | 0.509 | 19.619 | 80.126 |
| No shared suit | 12 | 50.00 | 78.739 | 0.433 | 20.828 | 78.956 |
How often this matchup comes up
QQ against 43s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.
A worked example
Put $100 each into a $200 pot and deal every board once: QQ averages $159.08 back, ahead of its $100 by $59.08, while 43s averages $40.92, short of its $100 by $59.08.
A thousand deals look like this: QQ takes 793, 43s takes 202, 5 are ties.
The same matchup from the other side
The mirror image, 43s against QQ, is 20.46% to 79.54%, and its address redirects to this page.
Keep exploring
QsQh against 4d3d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of QQ against 43s, 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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