KQs
74.96%
Wins 72.27%, ties 5.38%
KJo
25.04%
Wins 22.35%, ties 5.38%
KQs against KJo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQs | 72.273 | 5.376 | 22.351 | 74.961 |
| KJo | 22.351 | 5.376 | 72.273 | 25.039 |
We compare a suited hand with an offsuit hand. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
KQs is the clear favorite, though KJo gets there on roughly one board in 4. Ties are 5.38% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, KQs is number 16 of the 169 starting hands and KJo is number 26.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQs | 44,551,000 | 3,314,000 | 13,778,000 |
| KJo | 13,778,000 | 3,314,000 | 44,551,000 |
36 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 | 2.994 | 1.384 | 4.474 | 0.334 |
| KJo | 0.334 | 4.474 | 1.384 | 2.994 |
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
Low rainbow flops (nine high or lower) are the best for KQs (85.72%); monotone flops are the worst (67.51%). 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 | KJo wins | KQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.177 | 70.816 | 3.308 | 25.876 | 72.470 |
| Rainbow, nine or lower | 7.771 | 83.787 | 3.862 | 12.351 | 85.718 |
| Two-tone | 46.527 | 74.080 | 3.291 | 22.629 | 75.725 |
| Monotone | 5.192 | 65.211 | 4.596 | 30.193 | 67.509 |
| Paired | 17.333 | 66.325 | 14.650 | 19.025 | 73.650 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Relative to a random opponent, KQs changes by +11.56 points (baseline 63.40%) and KJo by -35.53 points (baseline 60.57%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQs, all flops | 74.961 | 63.400 | +11.561 | 1.18235 |
| KQs, rainbow, ten or higher | 72.470 | 63.400 | +9.070 | 1.14306 |
| KQs, rainbow, nine or lower | 85.718 | 63.400 | +22.318 | 1.35202 |
| KQs, two-tone | 75.725 | 63.400 | +12.325 | 1.19440 |
| KQs, monotone | 67.509 | 63.400 | +4.109 | 1.06481 |
| KQs, paired | 73.650 | 63.400 | +10.250 | 1.16167 |
| KJo, all flops | 25.039 | 60.569 | -35.530 | 0.41340 |
| KJo, rainbow, ten or higher | 27.530 | 60.569 | -33.039 | 0.45452 |
| KJo, rainbow, nine or lower | 14.282 | 60.569 | -46.287 | 0.23580 |
| KJo, two-tone | 24.275 | 60.569 | -36.294 | 0.40078 |
| KJo, monotone | 32.491 | 60.569 | -28.078 | 0.53643 |
| KJo, paired | 26.350 | 60.569 | -34.219 | 0.43504 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common KQs has 74.78% equity, and with none in common it has 75.05%. KQs does better with no shared suit, by 0.27 points.
| Deals | Specific deals | Share of deals | KQs wins | Ties | KJo wins | KQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 33.33 | 72.055 | 5.458 | 22.487 | 74.784 |
| No shared suit | 24 | 66.67 | 72.382 | 5.335 | 22.283 | 75.050 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 36 are KQs in one seat and KJo in the other (0.0022%); with the seats swapped too, 72 (0.0044%).
A worked example
Take a $200 pot built from $100 each. KQs' equity of 74.96% is worth $149.92, a $49.92 edge, and KJo's 25.04% is worth $50.08, which is $49.92 under its stake.
Run 1,000 deals and the tally comes out near 723 for KQs, 223 for KJo and 54 ties.
The same matchup from the other side
KJo versus KQs is this same page seen from the other hand: 25.04% for KJo, 74.96% for KQs.
Keep exploring
The calculator link fills in KsQs against KhJd, 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 36 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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