KQo
59.04%
Wins 58.68%, ties 0.72%
54s
40.96%
Wins 40.60%, ties 0.72%
KQo against 54s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 58.681 | 0.717 | 40.602 | 59.039 |
| 54s | 40.602 | 0.717 | 58.681 | 40.961 |
KQo, an offsuit hand, plays 54s, a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 0.72% of boards, so the wins and the equity differ by half of that.
Place 23 of 169 belongs to KQo and place 136 belongs to 54s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 48,230,000 | 589,000 | 33,371,000 |
| 54s | 33,371,000 | 589,000 | 48,230,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| KQo | 1.441 | 1.704 | 2.463 | 0.694 |
| 54s | 0.694 | 2.463 | 1.704 | 1.441 |
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
Break the boards down by their first three cards and KQo is strongest on rainbow flops topped by a ten or better (67.21%) and weakest on low rainbow flops (nine high or lower) (32.11%). Watch for low rainbow flops (nine high or lower): on those flops 54s holds the better equity.
| Flop | Share of flops | KQo wins | Ties | 54s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 67.050 | 0.309 | 32.641 | 67.205 |
| Rainbow, nine or lower | 6.313 | 31.583 | 1.044 | 67.373 | 32.105 |
| Two-tone | 46.667 | 57.152 | 0.434 | 42.414 | 57.369 |
| Monotone | 5.212 | 56.300 | 2.568 | 41.132 | 57.584 |
| Paired | 17.091 | 61.488 | 1.396 | 37.116 | 62.186 |
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
Start from the random-hand figures, 61.46% for KQo and 41.45% for 54s. This opponent changes them by -2.42 and -0.49 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 59.039 | 61.456 | -2.417 | 0.96067 |
| KQo, rainbow, ten or higher | 67.205 | 61.456 | +5.749 | 1.09355 |
| KQo, rainbow, nine or lower | 32.105 | 61.456 | -29.351 | 0.52241 |
| KQo, two-tone | 57.369 | 61.456 | -4.087 | 0.93350 |
| KQo, monotone | 57.584 | 61.456 | -3.872 | 0.93700 |
| KQo, paired | 62.186 | 61.456 | +0.730 | 1.01188 |
| 54s, all flops | 40.961 | 41.453 | -0.492 | 0.98813 |
| 54s, rainbow, ten or higher | 32.795 | 41.453 | -8.658 | 0.79114 |
| 54s, rainbow, nine or lower | 67.895 | 41.453 | +26.442 | 1.63788 |
| 54s, two-tone | 42.631 | 41.453 | +1.178 | 1.02842 |
| 54s, monotone | 42.416 | 41.453 | +0.963 | 1.02323 |
| 54s, paired | 37.814 | 41.453 | -3.639 | 0.91221 |
Does a shared suit matter?
Split by suits, the deals give KQo 59.73% when the hands overlap in a suit and 58.35% when they do not. KQo does better with a shared suit, by 1.38 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 54s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 59.348 | 0.757 | 39.895 | 59.726 |
| No shared suit | 24 | 50.00 | 58.013 | 0.678 | 41.309 | 58.352 |
How often this matchup comes up
The class pair covers 48 combinations of specific cards in a fixed seat order, 0.0030% of 1,624,350, and 96 (0.0059%) in either order.
A worked example
Take a $200 pot built from $100 each. KQo's equity of 59.04% is worth $118.08, a $18.08 edge, and 54s' 40.96% is worth $81.92, which is $18.08 under its stake.
Per 1,000 deals: KQo wins about 587, 54s wins about 406, and about 7 end in a split pot.
The same matchup from the other side
54s against KQo adds nothing new: it is 40.96% for 54s and 59.04% for KQo, the same figures reversed.
Keep exploring
Open the calculator with KsQh against 5d4d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 48 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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