AJo
64.18%
Wins 63.97%, ties 0.44%
K9o
35.82%
Wins 35.59%, ties 0.44%
AJo against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 63.966 | 0.437 | 35.597 | 64.184 |
| K9o | 35.597 | 0.437 | 63.966 | 35.816 |
AJo and K9o are both offsuit hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 0.44% of boards end in a split pot, and each side counts that as half a win.
AJo ranks number 15 of 169 starting hands, and K9o ranks number 40, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 157,722,000 | 1,078,000 | 87,772,000 |
| K9o | 87,772,000 | 1,078,000 | 157,722,000 |
The total is exact: 144 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) |
|---|---|---|---|---|
| AJo | 1.792 | 1.563 | 2.809 | 0.558 |
| K9o | 0.558 | 2.809 | 1.563 | 1.792 |
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
Split by what the flop looks like, AJo peaks at 67.20% on paired flops and bottoms out at 58.76% on low rainbow flops (nine high or lower). AJo stays ahead on all five textures.
| Flop | Share of flops | AJo wins | Ties | K9o wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.110 | 65.201 | 0.129 | 34.670 | 65.266 |
| Rainbow, nine or lower | 7.042 | 58.269 | 0.989 | 40.742 | 58.763 |
| Two-tone | 46.606 | 63.446 | 0.310 | 36.244 | 63.601 |
| Monotone | 5.151 | 60.961 | 1.697 | 37.342 | 61.810 |
| Paired | 17.091 | 66.894 | 0.612 | 32.494 | 67.200 |
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
How much does the opponent matter? Compared with its random-hand 63.56%, AJo changes by +0.62 points, and K9o, from 57.81%, by -21.99.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 64.184 | 63.563 | +0.621 | 1.00977 |
| AJo, rainbow, ten or higher | 65.266 | 63.563 | +1.703 | 1.02679 |
| AJo, rainbow, nine or lower | 58.763 | 63.563 | -4.800 | 0.92448 |
| AJo, two-tone | 63.601 | 63.563 | +0.038 | 1.00060 |
| AJo, monotone | 61.810 | 63.563 | -1.753 | 0.97242 |
| AJo, paired | 67.200 | 63.563 | +3.637 | 1.05722 |
| K9o, all flops | 35.816 | 57.812 | -21.996 | 0.61953 |
| K9o, rainbow, ten or higher | 34.734 | 57.812 | -23.078 | 0.60081 |
| K9o, rainbow, nine or lower | 41.237 | 57.812 | -16.575 | 0.71329 |
| K9o, two-tone | 36.399 | 57.812 | -21.413 | 0.62961 |
| K9o, monotone | 38.190 | 57.812 | -19.622 | 0.66059 |
| K9o, paired | 32.800 | 57.812 | -25.012 | 0.56736 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AJo has 64.25% equity, and with none in common it has 63.84%. AJo does better with a shared suit, by 0.41 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | K9o wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 120 | 83.33 | 64.026 | 0.453 | 35.521 | 64.253 |
| No shared suit | 24 | 16.67 | 63.664 | 0.358 | 35.978 | 63.843 |
How often this matchup comes up
You will meet this exact matchup 0.0177% of the time in a random heads-up deal: 288 of 1,624,350, counting either seat order.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. AJo averages $128.36 from the $200, up $28.36; K9o averages $71.64, down $28.36.
Run 1,000 deals and the tally comes out near 640 for AJo, 356 for K9o and 4 ties.
The same matchup from the other side
K9o versus AJo is this same page seen from the other hand: 35.82% for K9o, 64.18% for AJo.
Keep exploring
AsJh against Kd9c 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 144 specific deals of AJo against K9o, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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