KQs
70.85%
Wins 68.28%, ties 5.15%
KJs
29.15%
Wins 26.57%, ties 5.15%
KQs against KJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 68.276 | 5.152 | 26.572 | 70.852 |
| KJs | 26.572 | 5.152 | 68.276 | 29.148 |
Each side holds one of the suited hands: KQs and KJs. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
A lead of 41.70 points is large but not decisive: KJs still takes about 266 of every 1,000 deals. The tie share is 5.15%: on those boards the pot is chopped and neither hand wins outright.
Place 16 of 169 belongs to KQs and place 20 belongs to KJs in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 14,029,000 | 1,059,000 | 5,460,000 |
| KJs | 5,460,000 | 1,059,000 | 14,029,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| KQs | 2.431 | 1.465 | 3.763 | 0.411 |
| KJs | 0.411 | 3.763 | 1.465 | 2.431 |
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
The flop changes the picture. KQs does best on low rainbow flops (nine high or lower), at 82.65%, and worst on monotone flops, at 64.35%. KQs 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 | KQs wins | Ties | KJs wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 68.652 | 3.243 | 28.105 | 70.273 |
| Rainbow, nine or lower | 7.771 | 80.791 | 3.727 | 15.482 | 82.654 |
| Two-tone | 46.543 | 68.776 | 3.082 | 28.142 | 70.317 |
| Monotone | 5.215 | 61.789 | 5.124 | 33.087 | 64.351 |
| Paired | 17.333 | 62.777 | 13.906 | 23.317 | 69.730 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 63.40% for KQs, 62.57% for KJs. Here the change is +7.45 and -33.42 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 70.852 | 63.400 | +7.452 | 1.11754 |
| KQs, rainbow, ten or higher | 70.273 | 63.400 | +6.873 | 1.10841 |
| KQs, rainbow, nine or lower | 82.654 | 63.400 | +19.254 | 1.30369 |
| KQs, two-tone | 70.317 | 63.400 | +6.917 | 1.10910 |
| KQs, monotone | 64.351 | 63.400 | +0.951 | 1.01500 |
| KQs, paired | 69.730 | 63.400 | +6.330 | 1.09984 |
| KJs, all flops | 29.148 | 62.567 | -33.419 | 0.46587 |
| KJs, rainbow, ten or higher | 29.727 | 62.567 | -32.840 | 0.47512 |
| KJs, rainbow, nine or lower | 17.346 | 62.567 | -45.221 | 0.27724 |
| KJs, two-tone | 29.683 | 62.567 | -32.884 | 0.47442 |
| KJs, monotone | 35.649 | 62.567 | -26.918 | 0.56977 |
| KJs, paired | 30.270 | 62.567 | -32.297 | 0.48380 |
Does a shared suit matter?
A shared suit is impossible for this matchup, so KQs' 70.85% is the answer for every suit pattern.
| Deals | Specific deals | Share of deals | KQs wins | Ties | KJs wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 68.276 | 5.152 | 26.572 | 70.852 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 12 are KQs in one seat and KJs in the other (0.0007%); with the seats swapped too, 24 (0.0015%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KQs averages $141.70 from the $200, up $41.70; KJs averages $58.30, down $41.70.
Scaled to 1,000 deals, that is roughly 683 wins for KQs, 266 for KJs and 51 chopped pots.
The same matchup from the other side
The reversed view, KJs against KQs, shows 29.15% for KJs and 70.85% for KQs. It is the same count, so it redirects here.
Keep exploring
KsQs against KhJh 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
We counted every case. Each suit pattern of the 12 specific KQs against KJs deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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