KQo
60.35%
Wins 59.98%, ties 0.73%
53s
39.65%
Wins 39.29%, ties 0.73%
KQo against 53s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 59.982 | 0.728 | 39.290 | 60.346 |
| 53s | 39.290 | 0.728 | 59.982 | 39.654 |
KQo and 53s are an offsuit hand and a suited hand, in that order. 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. Split pots make up 0.73% of the boards, and both equity figures count them as half a win each.
For context, KQo sits at number 23 of 169 starting hands and 53s at number 146 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 49,300,000 | 598,000 | 32,293,000 |
| 53s | 32,293,000 | 598,000 | 49,300,000 |
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 | 1.522 | 1.667 | 2.545 | 0.657 |
| 53s | 0.657 | 2.545 | 1.667 | 1.522 |
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
Across the five flop textures KQo's equity moves by 34.27 points, from 34.23% on low rainbow flops (nine high or lower) to 68.50% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 53s is the favorite even though KQo is ahead overall.
| Flop | Share of flops | KQo wins | Ties | 53s wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.344 | 0.309 | 31.347 | 68.498 |
| Rainbow, nine or lower | 6.313 | 33.671 | 1.112 | 65.217 | 34.227 |
| Two-tone | 46.667 | 58.479 | 0.445 | 41.076 | 58.702 |
| Monotone | 5.212 | 57.283 | 2.578 | 40.139 | 58.572 |
| Paired | 17.091 | 62.537 | 1.400 | 36.063 | 63.237 |
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
How much does the opponent matter? Compared with its random-hand 61.46%, KQo changes by -1.11 points, and 53s, from 39.69%, by -0.04.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 60.346 | 61.456 | -1.110 | 0.98194 |
| KQo, rainbow, ten or higher | 68.498 | 61.456 | +7.042 | 1.11459 |
| KQo, rainbow, nine or lower | 34.227 | 61.456 | -27.229 | 0.55694 |
| KQo, two-tone | 58.702 | 61.456 | -2.754 | 0.95519 |
| KQo, monotone | 58.572 | 61.456 | -2.884 | 0.95307 |
| KQo, paired | 63.237 | 61.456 | +1.781 | 1.02898 |
| 53s, all flops | 39.654 | 39.693 | -0.039 | 0.99902 |
| 53s, rainbow, ten or higher | 31.502 | 39.693 | -8.191 | 0.79364 |
| 53s, rainbow, nine or lower | 65.773 | 39.693 | +26.080 | 1.65704 |
| 53s, two-tone | 41.298 | 39.693 | +1.605 | 1.04044 |
| 53s, monotone | 41.428 | 39.693 | +1.735 | 1.04371 |
| 53s, paired | 36.763 | 39.693 | -2.930 | 0.92618 |
Does a shared suit matter?
When the hands share a suit, KQo holds 61.06%; when they do not, it holds 59.64%. KQo does better with a shared suit, by 1.42 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 53s wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.674 | 0.767 | 38.559 | 61.058 |
| No shared suit | 24 | 50.00 | 59.290 | 0.689 | 40.021 | 59.635 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are KQo in one seat and 53s in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
With $100 from each side, the $200 pot is split on average as $120.70 for KQo and $79.30 for 53s; the first side gains $20.70 per all-in and the second gives up $20.70.
Think in thousands: about 600 of 1,000 go to KQo, about 393 go to 53s, and about 7 are chopped.
The same matchup from the other side
Read it from the other side: 53s against KQo is the same matchup with the numbers swapped, so 53s holds 39.65% and KQo holds 60.35%. That address sends you back to this page.
Keep exploring
The calculator link fills in KsQh against 5d3d, 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 48 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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