KQs
61.63%
Wins 61.25%, ties 0.75%
54s
38.37%
Wins 38.00%, ties 0.75%
KQs against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 61.252 | 0.748 | 38.000 | 61.626 |
| 54s | 38.000 | 0.748 | 61.252 | 38.374 |
KQs and 54s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.75% of boards, so the wins and the equity differ by half of that.
The hand ranking puts KQs at 16 and 54s at 136 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 16,781,000 | 205,000 | 10,411,000 |
| 54s | 10,411,000 | 205,000 | 16,781,000 |
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) |
|---|---|---|---|---|
| KQs | 1.606 | 1.633 | 2.632 | 0.623 |
| 54s | 0.623 | 2.632 | 1.633 | 1.606 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
KQs prefers rainbow flops topped by a ten or better, where it holds 68.54%, and likes low rainbow flops (nine high or lower) least, where it holds 34.66%. Low rainbow flops (nine high or lower) favor 54s, the hand that is behind overall.
| Flop | Share of flops | KQs wins | Ties | 54s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.390 | 0.299 | 31.311 | 68.540 |
| Rainbow, nine or lower | 6.314 | 34.159 | 0.997 | 64.844 | 34.657 |
| Two-tone | 46.727 | 60.689 | 0.404 | 38.907 | 60.891 |
| Monotone | 5.273 | 57.359 | 3.613 | 39.028 | 59.165 |
| Paired | 17.091 | 63.728 | 1.360 | 34.912 | 64.408 |
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
How much does the opponent matter? Compared with its random-hand 63.40%, KQs changes by -1.77 points, and 54s, from 41.45%, by -3.08.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 61.626 | 63.400 | -1.774 | 0.97202 |
| KQs, rainbow, ten or higher | 68.540 | 63.400 | +5.140 | 1.08107 |
| KQs, rainbow, nine or lower | 34.657 | 63.400 | -28.743 | 0.54664 |
| KQs, two-tone | 60.891 | 63.400 | -2.509 | 0.96043 |
| KQs, monotone | 59.165 | 63.400 | -4.235 | 0.93320 |
| KQs, paired | 64.408 | 63.400 | +1.008 | 1.01590 |
| 54s, all flops | 38.374 | 41.453 | -3.079 | 0.92572 |
| 54s, rainbow, ten or higher | 31.460 | 41.453 | -9.993 | 0.75893 |
| 54s, rainbow, nine or lower | 65.343 | 41.453 | +23.890 | 1.57632 |
| 54s, two-tone | 39.109 | 41.453 | -2.344 | 0.94345 |
| 54s, monotone | 40.835 | 41.453 | -0.618 | 0.98509 |
| 54s, paired | 35.592 | 41.453 | -5.861 | 0.85861 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KQs has 63.77% equity, and with none in common it has 60.91%. KQs does better with a shared suit, by 2.86 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | 54s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.349 | 0.840 | 35.811 | 63.769 |
| No shared suit | 12 | 75.00 | 60.553 | 0.718 | 38.729 | 60.912 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are KQs in one seat and 54s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average KQs takes back $123.26 of it, which is $23.26 more than it put in, and 54s takes back $76.74, $23.26 less than it put in.
Over a long run, 1,000 deals split into about 613 for KQs, 380 for 54s and 7 tied.
The same matchup from the other side
54s versus KQs is this same page seen from the other hand: 38.37% for 54s, 61.63% for KQs.
Keep exploring
The calculator link fills in KsQs against 5h4h, 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
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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