KQs
61.79%
Wins 61.46%, ties 0.66%
76s
38.21%
Wins 37.88%, ties 0.66%
KQs against 76s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 61.463 | 0.662 | 37.875 | 61.794 |
| 76s | 37.875 | 0.662 | 61.463 | 38.206 |
Both hands are suited hands: KQs and 76s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 23.58 point lead is real, and 76s still takes about 379 of every 1,000 deals outright. Of every 100 boards, about 0.66 are split pots, and the equity figures already include them.
The hand ranking puts KQs at 16 and 76s at 115 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 16,839,000 | 181,000 | 10,377,000 |
| 76s | 10,377,000 | 181,000 | 16,839,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| KQs | 1.617 | 1.627 | 2.640 | 0.618 |
| 76s | 0.618 | 2.640 | 1.627 | 1.617 |
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
Split by what the flop looks like, KQs peaks at 68.99% on rainbow flops topped by a ten or better and bottoms out at 34.45% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 76s is the one ahead.
| Flop | Share of flops | KQs wins | Ties | 76s wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 68.859 | 0.254 | 30.887 | 68.986 |
| Rainbow, nine or lower | 6.314 | 34.143 | 0.618 | 65.239 | 34.452 |
| Two-tone | 46.727 | 61.000 | 0.307 | 38.693 | 61.153 |
| Monotone | 5.273 | 57.571 | 3.464 | 38.965 | 59.303 |
| Paired | 17.091 | 63.379 | 1.370 | 35.251 | 64.064 |
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
Against one random hand instead, KQs holds 63.40% and 76s holds 45.37%. Facing each other changes that by -1.61 points for KQs and -7.16 points for 76s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 61.794 | 63.400 | -1.606 | 0.97467 |
| KQs, rainbow, ten or higher | 68.986 | 63.400 | +5.586 | 1.08811 |
| KQs, rainbow, nine or lower | 34.452 | 63.400 | -28.948 | 0.54341 |
| KQs, two-tone | 61.153 | 63.400 | -2.247 | 0.96456 |
| KQs, monotone | 59.303 | 63.400 | -4.097 | 0.93538 |
| KQs, paired | 64.064 | 63.400 | +0.664 | 1.01047 |
| 76s, all flops | 38.206 | 45.372 | -7.166 | 0.84206 |
| 76s, rainbow, ten or higher | 31.014 | 45.372 | -14.358 | 0.68355 |
| 76s, rainbow, nine or lower | 65.548 | 45.372 | +20.176 | 1.44468 |
| 76s, two-tone | 38.847 | 45.372 | -6.525 | 0.85619 |
| 76s, monotone | 40.697 | 45.372 | -4.675 | 0.89696 |
| 76s, paired | 35.936 | 45.372 | -9.436 | 0.79203 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (KQs at 63.96%) and 12 do not (61.07%). KQs does better with a shared suit, by 2.89 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | 76s wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 63.585 | 0.749 | 35.666 | 63.960 |
| No shared suit | 12 | 75.00 | 60.756 | 0.633 | 38.611 | 61.072 |
How often this matchup comes up
KQs against 76s 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
To see what the equity is worth, imagine $100 each in a $200 pot. KQs is worth $123.58 on average (+$23.58); 76s is worth $76.42 (-$23.58).
Think in thousands: about 615 of 1,000 go to KQs, about 379 go to 76s, and about 6 are chopped.
The same matchup from the other side
76s against KQs adds nothing new: it is 38.21% for 76s and 61.79% for KQs, the same figures reversed.
Keep exploring
KsQs against 7h6h 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
This is an exact count with no sampling. For the 16 ways to deal one KQs and one 76s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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