KQs
74.65%
Wins 71.97%, ties 5.37%
KTo
25.35%
Wins 22.66%, ties 5.37%
KQs against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 71.972 | 5.365 | 22.663 | 74.654 |
| KTo | 22.663 | 5.365 | 71.972 | 25.346 |
One side is a suited hand, the other is an offsuit hand. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.
KQs is well ahead, and KTo needs a specific kind of board to catch up. Of every 100 boards, about 5.37 are split pots, and the equity figures already include them.
Place 16 of 169 belongs to KQs and place 33 belongs to KTo in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 44,366,000 | 3,307,000 | 13,970,000 |
| KTo | 13,970,000 | 3,307,000 | 44,366,000 |
The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQs | 2.945 | 1.389 | 4.412 | 0.340 |
| KTo | 0.340 | 4.412 | 1.389 | 2.945 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
By flop texture, KQs' equity runs from 67.28% on monotone flops up to 84.25% on low rainbow flops (nine high or lower). 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 | KTo wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.757 | 3.351 | 25.892 | 72.433 |
| Rainbow, nine or lower | 7.771 | 82.416 | 3.670 | 13.914 | 84.251 |
| Two-tone | 46.527 | 73.732 | 3.276 | 22.992 | 75.370 |
| Monotone | 5.192 | 64.983 | 4.588 | 30.429 | 67.277 |
| Paired | 17.333 | 66.284 | 14.657 | 19.059 | 73.612 |
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
A random hand would give KQs 63.40% and KTo 59.74%. Against each other the change is +11.25 points for KQs and -34.39 for KTo.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 74.654 | 63.400 | +11.254 | 1.17751 |
| KQs, rainbow, ten or higher | 72.433 | 63.400 | +9.033 | 1.14248 |
| KQs, rainbow, nine or lower | 84.251 | 63.400 | +20.851 | 1.32888 |
| KQs, two-tone | 75.370 | 63.400 | +11.970 | 1.18880 |
| KQs, monotone | 67.277 | 63.400 | +3.877 | 1.06115 |
| KQs, paired | 73.612 | 63.400 | +10.212 | 1.16107 |
| KTo, all flops | 25.346 | 59.739 | -34.393 | 0.42428 |
| KTo, rainbow, ten or higher | 27.567 | 59.739 | -32.172 | 0.46146 |
| KTo, rainbow, nine or lower | 15.749 | 59.739 | -43.990 | 0.26363 |
| KTo, two-tone | 24.630 | 59.739 | -35.109 | 0.41229 |
| KTo, monotone | 32.723 | 59.739 | -27.016 | 0.54777 |
| KTo, paired | 26.388 | 59.739 | -33.351 | 0.44172 |
Does a shared suit matter?
Split by suits, the deals give KQs 74.47% when the hands overlap in a suit and 74.75% when they do not. KQs does better with no shared suit, by 0.28 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | KTo wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 71.750 | 5.448 | 22.802 | 74.474 |
| No shared suit | 24 | 66.67 | 72.083 | 5.323 | 22.594 | 74.745 |
How often this matchup comes up
The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.
A worked example
With $100 from each side, the $200 pot is split on average as $149.30 for KQs and $50.70 for KTo; the first side gains $49.30 per all-in and the second gives up $49.30.
Think in thousands: about 720 of 1,000 go to KQs, about 226 go to KTo, and about 54 are chopped.
The same matchup from the other side
KTo against KQs adds nothing new: it is 25.35% for KTo and 74.65% for KQs, the same figures reversed.
Keep exploring
The calculator link fills in KsQs against KhTd, 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
Each figure is a complete count over boards. Take the 36 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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