KQs
61.53%
Wins 61.17%, ties 0.70%
65s
38.47%
Wins 38.13%, ties 0.70%
KQs against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 61.173 | 0.703 | 38.124 | 61.525 |
| 65s | 38.124 | 0.703 | 61.173 | 38.475 |
KQs and 65s are both suited hands. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. 0.70% of boards are ties, so the equity of each hand is its win rate plus half of that.
The hand ranking puts KQs at 16 and 65s at 128 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 16,759,000 | 193,000 | 10,445,000 |
| 65s | 10,445,000 | 193,000 | 16,759,000 |
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 | 1.599 | 1.635 | 2.623 | 0.625 |
| 65s | 0.625 | 2.623 | 1.635 | 1.599 |
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
By flop texture, KQs' equity runs from 32.33% on low rainbow flops (nine high or lower) up to 69.05% on rainbow flops topped by a ten or better. Watch for low rainbow flops (nine high or lower): on those flops 65s holds the better equity.
| Flop | Share of flops | KQs wins | Ties | 65s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.915 | 0.264 | 30.821 | 69.047 |
| Rainbow, nine or lower | 6.314 | 31.919 | 0.828 | 67.253 | 32.333 |
| Two-tone | 46.727 | 60.651 | 0.352 | 38.997 | 60.827 |
| Monotone | 5.273 | 57.330 | 3.523 | 39.147 | 59.092 |
| Paired | 17.091 | 63.453 | 1.378 | 35.169 | 64.142 |
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
Start from the random-hand figures, 63.40% for KQs and 43.13% for 65s. This opponent changes them by -1.87 and -4.66 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 61.525 | 63.400 | -1.875 | 0.97043 |
| KQs, rainbow, ten or higher | 69.047 | 63.400 | +5.647 | 1.08907 |
| KQs, rainbow, nine or lower | 32.333 | 63.400 | -31.067 | 0.50998 |
| KQs, two-tone | 60.827 | 63.400 | -2.573 | 0.95942 |
| KQs, monotone | 59.092 | 63.400 | -4.308 | 0.93205 |
| KQs, paired | 64.142 | 63.400 | +0.742 | 1.01170 |
| 65s, all flops | 38.475 | 43.133 | -4.658 | 0.89201 |
| 65s, rainbow, ten or higher | 30.953 | 43.133 | -12.180 | 0.71762 |
| 65s, rainbow, nine or lower | 67.667 | 43.133 | +24.534 | 1.56880 |
| 65s, two-tone | 39.173 | 43.133 | -3.960 | 0.90819 |
| 65s, monotone | 40.908 | 43.133 | -2.225 | 0.94842 |
| 65s, paired | 35.858 | 43.133 | -7.275 | 0.83134 |
Does a shared suit matter?
Split by suits, the deals give KQs 63.66% when the hands overlap in a suit and 60.81% when they do not. KQs does better with a shared suit, by 2.85 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | 65s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.265 | 0.793 | 35.942 | 63.662 |
| No shared suit | 12 | 75.00 | 60.476 | 0.673 | 38.851 | 60.813 |
How often this matchup comes up
KQs against 65s is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. KQs averages $123.06 from the $200, up $23.06; 65s averages $76.94, down $23.06.
Scaled to 1,000 deals, that is roughly 612 wins for KQs, 381 for 65s and 7 chopped pots.
The same matchup from the other side
65s against KQs adds nothing new: it is 38.47% for 65s and 61.53% for KQs, the same figures reversed.
Keep exploring
The calculator link fills in KsQs against 6h5h, 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
Nothing here is simulated. The 16 deals of KQs against 65s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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