KTs
30.55%
Wins 27.87%, ties 5.37%
KQo
69.45%
Wins 66.76%, ties 5.37%
KTs against KQo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTs | 27.871 | 5.366 | 66.763 | 30.554 |
| KQo | 66.763 | 5.366 | 27.871 | 69.446 |
The first hand is a suited hand; the second is an offsuit hand. The two hands share a rank, and the one with the better other card dominates: it wins most kicker battles when that shared rank hits.
That is a clear edge, 69.45% to 30.55%, but KTs still wins often enough that one hand proves nothing. Of every 100 boards, about 5.37 are split pots, and the equity figures already include them.
Among the 169 starting hands, KTs is number 22 and KQo is number 23 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTs | 17,181,000 | 3,308,000 | 41,155,000 |
| KQo | 41,155,000 | 3,308,000 | 17,181,000 |
The total is exact: 36 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) |
|---|---|---|---|---|
| KTs | 0.440 | 3.588 | 1.498 | 2.273 |
| KQo | 2.273 | 1.498 | 3.588 | 0.440 |
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
KQo prefers low rainbow flops (nine high or lower), where it holds 80.66%, and likes monotone flops least, where it holds 64.29%. KQo 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 | KQo wins | KTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 28.885 | 3.355 | 67.760 | 30.562 |
| Rainbow, nine or lower | 7.771 | 17.506 | 3.673 | 78.821 | 19.343 |
| Two-tone | 46.527 | 29.869 | 3.276 | 66.855 | 31.507 |
| Monotone | 5.192 | 33.422 | 4.584 | 61.994 | 35.714 |
| Paired | 17.333 | 24.139 | 14.656 | 61.205 | 31.467 |
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, KTs holds 61.79% and KQo holds 61.46%. Facing each other changes that by -31.24 points for KTs and +7.99 points for KQo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTs, all flops | 30.554 | 61.789 | -31.235 | 0.49449 |
| KTs, rainbow, ten or higher | 30.562 | 61.789 | -31.227 | 0.49462 |
| KTs, rainbow, nine or lower | 19.343 | 61.789 | -42.446 | 0.31305 |
| KTs, two-tone | 31.507 | 61.789 | -30.282 | 0.50991 |
| KTs, monotone | 35.714 | 61.789 | -26.075 | 0.57800 |
| KTs, paired | 31.467 | 61.789 | -30.322 | 0.50927 |
| KQo, all flops | 69.446 | 61.456 | +7.990 | 1.13001 |
| KQo, rainbow, ten or higher | 69.438 | 61.456 | +7.982 | 1.12988 |
| KQo, rainbow, nine or lower | 80.657 | 61.456 | +19.201 | 1.31243 |
| KQo, two-tone | 68.493 | 61.456 | +7.037 | 1.11450 |
| KQo, monotone | 64.286 | 61.456 | +2.830 | 1.04605 |
| KQo, paired | 68.533 | 61.456 | +7.077 | 1.11516 |
Does a shared suit matter?
When the hands share a suit, KQo holds 70.16%; when they do not, it holds 69.09%. KQo does better with a shared suit, by 1.07 points.
| Deals | Specific deals | Share of deals | KTs wins | Ties | KQo wins | KTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 27.117 | 5.449 | 67.434 | 29.842 |
| No shared suit | 24 | 66.67 | 28.248 | 5.324 | 66.428 | 30.910 |
How often this matchup comes up
Counting specific cards, KTs against KQo appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KQo takes back $138.90 of it, which is $38.90 more than it put in, and KTs takes back $61.10, $38.90 less than it put in.
Think in thousands: about 667 of 1,000 go to KQo, about 279 go to KTs, and about 54 are chopped.
The same matchup from the other side
Read it from the other side: KQo against KTs is the same matchup with the numbers swapped, so KQo holds 69.45% and KTs holds 30.55%. That address sends you back to this page.
Keep exploring
KsTs against KhQd 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 36 specific deals of KTs against KQo, 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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