KQo
47.51%
Wins 47.18%, ties 0.66%
44
52.49%
Wins 52.16%, ties 0.66%
KQo against 44: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KQo | 47.177 | 0.658 | 52.165 | 47.506 |
| 44 | 52.165 | 0.658 | 47.177 | 52.494 |
The first hand is an offsuit hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 4.98 points between them, the board decides this matchup far more than the cards in hand. 0.66% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 23 of 169 belongs to KQo and place 48 belongs to 44 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KQo | 58,163,000 | 811,000 | 64,312,000 |
| 44 | 64,312,000 | 811,000 | 58,163,000 |
The board total is exact, 72 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KQo | 0.905 | 2.120 | 1.917 | 1.105 |
| 44 | 1.105 | 1.917 | 2.120 | 0.905 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
Low rainbow flops (nine high or lower) are the best for 44 (80.09%); rainbow flops topped by a ten or better are the worst (45.37%). The lead reverses on rainbow flops topped by a ten or better and monotone flops: there KQo is the favorite even though 44 is ahead overall.
| Flop | Share of flops | KQo wins | Ties | 44 wins | KQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 54.490 | 0.287 | 45.223 | 54.634 |
| Rainbow, nine or lower | 6.314 | 19.361 | 1.101 | 79.538 | 19.911 |
| Two-tone | 46.485 | 47.634 | 0.437 | 51.929 | 47.852 |
| Monotone | 5.151 | 49.132 | 2.089 | 48.779 | 50.176 |
| Paired | 17.333 | 45.074 | 1.195 | 53.731 | 45.672 |
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
Relative to a random opponent, KQo changes by -13.95 points (baseline 61.46%) and 44 by -4.53 points (baseline 57.02%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KQo, all flops | 47.506 | 61.456 | -13.950 | 0.77301 |
| KQo, rainbow, ten or higher | 54.634 | 61.456 | -6.822 | 0.88899 |
| KQo, rainbow, nine or lower | 19.911 | 61.456 | -41.545 | 0.32399 |
| KQo, two-tone | 47.852 | 61.456 | -13.604 | 0.77864 |
| KQo, monotone | 50.176 | 61.456 | -11.280 | 0.81645 |
| KQo, paired | 45.672 | 61.456 | -15.784 | 0.74317 |
| 44, all flops | 52.494 | 57.023 | -4.529 | 0.92058 |
| 44, rainbow, ten or higher | 45.366 | 57.023 | -11.657 | 0.79557 |
| 44, rainbow, nine or lower | 80.089 | 57.023 | +23.066 | 1.40450 |
| 44, two-tone | 52.148 | 57.023 | -4.875 | 0.91451 |
| 44, monotone | 49.824 | 57.023 | -7.199 | 0.87375 |
| 44, paired | 54.328 | 57.023 | -2.695 | 0.95274 |
Does a shared suit matter?
When the hands share a suit, 44 holds 52.41%; when they do not, it holds 52.91%. 44 does better with no shared suit, by 0.50 points.
| Deals | Specific deals | Share of deals | KQo wins | Ties | 44 wins | KQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 47.254 | 0.672 | 52.074 | 47.590 |
| No shared suit | 12 | 16.67 | 46.791 | 0.592 | 52.617 | 47.087 |
How often this matchup comes up
You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $104.98 for 44 and $95.02 for KQo; the first side gains $4.98 per all-in and the second gives up $4.98.
Run 1,000 deals and the tally comes out near 522 for 44, 472 for KQo and 6 ties.
The same matchup from the other side
44 against KQo adds nothing new: it is 52.49% for 44 and 47.51% for KQo, the same figures reversed.
Keep exploring
KsQh against 4d4c 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
We counted every case. Each suit pattern of the 72 specific KQo against 44 deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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