KJo
48.48%
Wins 48.11%, ties 0.76%
33
51.52%
Wins 51.13%, ties 0.76%
KJo against 33: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| KJo | 48.105 | 0.757 | 51.138 | 48.483 |
| 33 | 51.138 | 0.757 | 48.105 | 51.517 |
One side is an offsuit hand, the other is a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with 33 a little ahead. 0.76% of boards are ties, so the equity of each hand is its win rate plus half of that.
The hand ranking puts KJo at 26 and 33 at 66 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| KJo | 59,307,000 | 933,000 | 63,046,000 |
| 33 | 63,046,000 | 933,000 | 59,307,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| KJo | 0.941 | 2.079 | 1.955 | 1.063 |
| 33 | 1.063 | 1.955 | 2.079 | 0.941 |
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
33 prefers low rainbow flops (nine high or lower), where it holds 78.60%, and likes rainbow flops topped by a ten or better least, where it holds 44.76%. The overall edge for 33 hides rainbow flops topped by a ten or better and monotone flops, where KJo comes out in front.
| Flop | Share of flops | KJo wins | Ties | 33 wins | KJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 55.073 | 0.330 | 44.597 | 55.238 |
| Rainbow, nine or lower | 6.314 | 20.815 | 1.163 | 78.022 | 21.396 |
| Two-tone | 46.485 | 48.375 | 0.483 | 51.142 | 48.617 |
| Monotone | 5.151 | 49.750 | 2.365 | 47.885 | 50.933 |
| Paired | 17.333 | 46.894 | 1.475 | 51.631 | 47.632 |
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
A random hand would give KJo 60.57% and 33 53.69%. Against each other the change is -12.09 points for KJo and -2.17 for 33.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| KJo, all flops | 48.483 | 60.569 | -12.086 | 0.80046 |
| KJo, rainbow, ten or higher | 55.238 | 60.569 | -5.331 | 0.91198 |
| KJo, rainbow, nine or lower | 21.396 | 60.569 | -39.173 | 0.35325 |
| KJo, two-tone | 48.617 | 60.569 | -11.952 | 0.80267 |
| KJo, monotone | 50.933 | 60.569 | -9.636 | 0.84091 |
| KJo, paired | 47.632 | 60.569 | -12.937 | 0.78641 |
| 33, all flops | 51.517 | 53.693 | -2.176 | 0.95947 |
| 33, rainbow, ten or higher | 44.762 | 53.693 | -8.931 | 0.83367 |
| 33, rainbow, nine or lower | 78.604 | 53.693 | +24.911 | 1.46395 |
| 33, two-tone | 51.383 | 53.693 | -2.310 | 0.95698 |
| 33, monotone | 49.067 | 53.693 | -4.626 | 0.91384 |
| 33, paired | 52.368 | 53.693 | -1.325 | 0.97532 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (33 at 51.43%) and 12 do not (51.94%). 33 does better with no shared suit, by 0.51 points.
| Deals | Specific deals | Share of deals | KJo wins | Ties | 33 wins | KJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 48.184 | 0.768 | 51.048 | 48.568 |
| No shared suit | 12 | 16.67 | 47.710 | 0.702 | 51.588 | 48.061 |
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 $103.04 on average (+$3.04); KJo is worth $96.96 (-$3.04).
Scaled to 1,000 deals, that is roughly 511 wins for 33, 481 for KJo and 8 chopped pots.
The same matchup from the other side
One page covers both views. From 33's side the equity is 51.52%, and from KJo's side it is 48.48%.
Keep exploring
Try KsJh 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 KJo 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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