KTs
58.79%
Wins 58.43%, ties 0.72%
QJs
41.21%
Wins 40.85%, ties 0.72%
KTs against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 58.430 | 0.718 | 40.852 | 58.789 |
| QJs | 40.852 | 0.718 | 58.430 | 41.211 |
Both hands are suited hands: KTs and QJs. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
KTs is ahead, but QJs is far from dead: it takes 409 of every 1,000 deals outright. Ties are 0.72% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, KTs is number 22 and QJs is number 28 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 16,008,000 | 197,000 | 11,192,000 |
| QJs | 11,192,000 | 197,000 | 16,008,000 |
Exact total: 16 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) |
|---|---|---|---|---|
| KTs | 1.427 | 1.711 | 2.448 | 0.701 |
| QJs | 0.701 | 2.448 | 1.711 | 1.427 |
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
If you know the kind of flop that came, the numbers shift: KTs holds 73.52% on low rainbow flops (nine high or lower) and 53.46% on rainbow flops topped by a ten or better. KTs 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 | KTs wins | Ties | QJs wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.138 | 53.330 | 0.255 | 46.415 | 53.457 |
| Rainbow, nine or lower | 7.771 | 73.069 | 0.901 | 26.030 | 73.519 |
| Two-tone | 46.727 | 57.547 | 0.370 | 42.083 | 57.732 |
| Monotone | 5.273 | 54.116 | 3.474 | 42.410 | 55.853 |
| Paired | 17.091 | 62.422 | 1.363 | 36.215 | 63.104 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Compared with a random opponent, this matchup shifts KTs from 61.79% by -3.00 points and QJs from 60.26% by -19.05 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 58.789 | 61.789 | -3.000 | 0.95145 |
| KTs, rainbow, ten or higher | 53.457 | 61.789 | -8.332 | 0.86515 |
| KTs, rainbow, nine or lower | 73.519 | 61.789 | +11.730 | 1.18984 |
| KTs, two-tone | 57.732 | 61.789 | -4.057 | 0.93434 |
| KTs, monotone | 55.853 | 61.789 | -5.936 | 0.90393 |
| KTs, paired | 63.104 | 61.789 | +1.315 | 1.02128 |
| QJs, all flops | 41.211 | 60.259 | -19.048 | 0.68390 |
| QJs, rainbow, ten or higher | 46.543 | 60.259 | -13.716 | 0.77238 |
| QJs, rainbow, nine or lower | 26.481 | 60.259 | -33.778 | 0.43945 |
| QJs, two-tone | 42.268 | 60.259 | -17.991 | 0.70144 |
| QJs, monotone | 44.147 | 60.259 | -16.112 | 0.73262 |
| QJs, paired | 36.896 | 60.259 | -23.363 | 0.61229 |
Does a shared suit matter?
When the hands share a suit, KTs holds 60.89%; when they do not, it holds 58.09%. KTs does better with a shared suit, by 2.80 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | QJs wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 60.485 | 0.805 | 38.710 | 60.887 |
| No shared suit | 12 | 75.00 | 57.745 | 0.689 | 41.566 | 58.089 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
A $100 all-in from each player makes a $200 pot, and the exact equity says KTs gets $117.58 of it on average and QJs gets $82.42.
Run 1,000 deals and the tally comes out near 584 for KTs, 409 for QJs and 7 ties.
The same matchup from the other side
QJs against KTs adds nothing new: it is 41.21% for QJs and 58.79% for KTs, the same figures reversed.
Keep exploring
The calculator link fills in KsTs against QhJh, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
We counted every case. Each suit pattern of the 16 specific KTs against QJs 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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