KQo
46.95%
Wins 46.67%, ties 0.56%
55
53.05%
Wins 52.77%, ties 0.56%
KQo against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 46.665 | 0.560 | 52.775 | 46.945 |
| 55 | 52.775 | 0.560 | 46.665 | 53.055 |
KQo, an offsuit hand, plays 55, a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
This is close to even money, with 55 a little ahead. Of every 100 boards, about 0.56 are split pots, and the equity figures already include them.
The hand ranking puts KQo at 23 and 55 at 27 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 57,531,000 | 690,000 | 65,064,000 |
| 55 | 65,064,000 | 690,000 | 57,531,000 |
72 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) |
|---|---|---|---|---|
| KQo | 0.885 | 2.143 | 1.895 | 1.130 |
| 55 | 1.130 | 1.895 | 2.143 | 0.885 |
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, 55 peaks at 80.79% on low rainbow flops (nine high or lower) and bottoms out at 45.62% on rainbow flops topped by a ten or better. The lead reverses on rainbow flops topped by a ten or better: there KQo is the favorite even though 55 is ahead overall.
| Flop | Share of flops | KQo wins | Ties | 55 wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 54.254 | 0.256 | 45.490 | 54.382 |
| Rainbow, nine or lower | 6.314 | 18.748 | 0.923 | 80.329 | 19.210 |
| Two-tone | 46.485 | 47.323 | 0.379 | 52.298 | 47.512 |
| Monotone | 5.151 | 48.831 | 1.900 | 49.269 | 49.781 |
| Paired | 17.333 | 43.607 | 0.947 | 55.446 | 44.080 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Start from the random-hand figures, 61.46% for KQo and 60.33% for 55. This opponent changes them by -14.51 and -7.28 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 46.945 | 61.456 | -14.511 | 0.76388 |
| KQo, rainbow, ten or higher | 54.382 | 61.456 | -7.074 | 0.88489 |
| KQo, rainbow, nine or lower | 19.210 | 61.456 | -42.246 | 0.31258 |
| KQo, two-tone | 47.512 | 61.456 | -13.944 | 0.77311 |
| KQo, monotone | 49.781 | 61.456 | -11.675 | 0.81003 |
| KQo, paired | 44.080 | 61.456 | -17.376 | 0.71726 |
| 55, all flops | 53.055 | 60.325 | -7.270 | 0.87949 |
| 55, rainbow, ten or higher | 45.618 | 60.325 | -14.707 | 0.75620 |
| 55, rainbow, nine or lower | 80.790 | 60.325 | +20.465 | 1.33925 |
| 55, two-tone | 52.488 | 60.325 | -7.837 | 0.87009 |
| 55, monotone | 50.219 | 60.325 | -10.106 | 0.83247 |
| 55, paired | 55.920 | 60.325 | -4.405 | 0.92698 |
Does a shared suit matter?
Split by suits, the deals give 55 52.97% when the hands overlap in a suit and 53.47% when they do not. 55 does better with no shared suit, by 0.50 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 55 wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 46.742 | 0.574 | 52.684 | 47.029 |
| No shared suit | 12 | 16.67 | 46.284 | 0.486 | 53.230 | 46.527 |
How often this matchup comes up
This page stands for 72 specific-card matchups (0.0044% of 1,624,350 ordered deals), or 144 once you count the seats both ways (0.0089%).
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 55 takes back $106.10 of it, which is $6.10 more than it put in, and KQo takes back $93.90, $6.10 less than it put in.
Think in thousands: about 528 of 1,000 go to 55, about 467 go to KQo, and about 5 are chopped.
The same matchup from the other side
Swap the hands and you get 55 with 53.05% against KQo with 46.95%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in KsQh against 5d5c, 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
This is an exact count with no sampling. For the 72 ways to deal one KQo and one 55 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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