KTo
48.83%
Wins 48.46%, ties 0.74%
33
51.17%
Wins 50.80%, ties 0.74%
KTo against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KTo | 48.462 | 0.744 | 50.794 | 48.834 |
| 33 | 50.794 | 0.744 | 48.462 | 51.166 |
One side is an offsuit hand, the other 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 2.34 points between them, the board decides this matchup far more than the cards in hand. The tie share is 0.74%: on those boards the pot is chopped and neither hand wins outright.
Among the 169 starting hands, KTo is number 33 and 33 is number 66 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KTo | 59,747,000 | 917,000 | 62,622,000 |
| 33 | 62,622,000 | 917,000 | 59,747,000 |
The total is exact: 72 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) |
|---|---|---|---|---|
| KTo | 0.954 | 2.063 | 1.969 | 1.048 |
| 33 | 1.048 | 1.969 | 2.063 | 0.954 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.
Who is ahead on which flops
The flop changes the picture. 33 does best on low rainbow flops (nine high or lower), at 76.93%, and worst on rainbow flops topped by a ten or better, at 44.67%. Watch for rainbow flops topped by a ten or better and monotone flops: on those flops KTo holds the better equity.
| Flop | Share of flops | KTo wins | Ties | 33 wins | KTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 55.142 | 0.370 | 44.488 | 55.327 |
| Rainbow, nine or lower | 6.314 | 22.608 | 0.915 | 76.477 | 23.066 |
| Two-tone | 46.485 | 48.777 | 0.466 | 50.757 | 49.010 |
| Monotone | 5.151 | 50.039 | 2.353 | 47.608 | 51.215 |
| Paired | 17.333 | 47.042 | 1.479 | 51.479 | 47.781 |
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
Compared with a random opponent, this matchup shifts KTo from 59.74% by -10.91 points and 33 from 53.69% by -2.52 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KTo, all flops | 48.834 | 59.739 | -10.905 | 0.81746 |
| KTo, rainbow, ten or higher | 55.327 | 59.739 | -4.412 | 0.92615 |
| KTo, rainbow, nine or lower | 23.066 | 59.739 | -36.673 | 0.38611 |
| KTo, two-tone | 49.010 | 59.739 | -10.729 | 0.82040 |
| KTo, monotone | 51.215 | 59.739 | -8.524 | 0.85731 |
| KTo, paired | 47.781 | 59.739 | -11.958 | 0.79983 |
| 33, all flops | 51.166 | 53.693 | -2.527 | 0.95294 |
| 33, rainbow, ten or higher | 44.673 | 53.693 | -9.020 | 0.83201 |
| 33, rainbow, nine or lower | 76.934 | 53.693 | +23.241 | 1.43285 |
| 33, two-tone | 50.990 | 53.693 | -2.703 | 0.94966 |
| 33, monotone | 48.785 | 53.693 | -4.908 | 0.90859 |
| 33, paired | 52.219 | 53.693 | -1.474 | 0.97255 |
Does a shared suit matter?
Two kinds of deal exist here. In 60 of them the hands share a suit and 33 holds 51.08%. In 12 they do not, and it holds 51.59%. 33 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | KTo wins | Ties | 33 wins | KTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 48.543 | 0.754 | 50.703 | 48.920 |
| No shared suit | 12 | 16.67 | 48.062 | 0.689 | 51.249 | 48.407 |
How often this matchup comes up
The class pair covers 72 combinations of specific cards in a fixed seat order, 0.0044% of 1,624,350, and 144 (0.0089%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 33 is worth $102.34 on average (+$2.34); KTo is worth $97.66 (-$2.34).
Think in thousands: about 508 of 1,000 go to 33, about 485 go to KTo, and about 7 are chopped.
The same matchup from the other side
33 against KTo adds nothing new: it is 51.17% for 33 and 48.83% for KTo, the same figures reversed.
Keep exploring
Try KsTh against 3d3c in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
Nothing here is simulated. The 72 deals of KTo against 33 fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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