AQs
65.60%
Wins 65.36%, ties 0.47%
K9o
34.40%
Wins 34.17%, ties 0.47%
AQs against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQs | 65.364 | 0.465 | 34.171 | 65.597 |
| K9o | 34.171 | 0.465 | 65.364 | 34.403 |
One side is a suited hand, the other is an offsuit hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a clear edge, 65.60% to 34.40%, but K9o still wins often enough that one hand proves nothing. 0.47% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 10 of 169 belongs to AQs and place 40 belongs to K9o in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQs | 53,723,000 | 382,000 | 28,085,000 |
| K9o | 28,085,000 | 382,000 | 53,723,000 |
48 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) |
|---|---|---|---|---|
| AQs | 1.907 | 1.530 | 2.926 | 0.524 |
| K9o | 0.524 | 2.926 | 1.530 | 1.907 |
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
Break the boards down by their first three cards and AQs is strongest on paired flops (68.49%) and weakest on low rainbow flops (nine high or lower) (59.91%). AQs stays ahead on all five textures.
| Flop | Share of flops | AQs wins | Ties | K9o wins | AQs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 65.861 | 0.118 | 34.021 | 65.920 |
| Rainbow, nine or lower | 7.042 | 59.399 | 1.021 | 39.580 | 59.910 |
| Two-tone | 46.667 | 65.568 | 0.294 | 34.138 | 65.715 |
| Monotone | 5.212 | 60.041 | 2.383 | 37.576 | 61.232 |
| Paired | 17.091 | 68.188 | 0.608 | 31.204 | 68.492 |
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
Against one random hand instead, AQs holds 66.21% and K9o holds 57.81%. Facing each other changes that by -0.61 points for AQs and -23.41 points for K9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQs, all flops | 65.597 | 66.209 | -0.612 | 0.99076 |
| AQs, rainbow, ten or higher | 65.920 | 66.209 | -0.289 | 0.99564 |
| AQs, rainbow, nine or lower | 59.910 | 66.209 | -6.299 | 0.90486 |
| AQs, two-tone | 65.715 | 66.209 | -0.494 | 0.99254 |
| AQs, monotone | 61.232 | 66.209 | -4.977 | 0.92483 |
| AQs, paired | 68.492 | 66.209 | +2.283 | 1.03448 |
| K9o, all flops | 34.403 | 57.812 | -23.409 | 0.59508 |
| K9o, rainbow, ten or higher | 34.080 | 57.812 | -23.732 | 0.58950 |
| K9o, rainbow, nine or lower | 40.090 | 57.812 | -17.722 | 0.69345 |
| K9o, two-tone | 34.285 | 57.812 | -23.527 | 0.59304 |
| K9o, monotone | 38.768 | 57.812 | -19.044 | 0.67059 |
| K9o, paired | 31.508 | 57.812 | -26.304 | 0.54501 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AQs has 65.36% equity, and with none in common it has 65.83%. AQs does better with no shared suit, by 0.47 points.
| Deals | Specific deals | Share of deals | AQs wins | Ties | K9o wins | AQs equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 65.106 | 0.507 | 34.387 | 65.360 |
| No shared suit | 24 | 50.00 | 65.621 | 0.424 | 33.955 | 65.833 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
With $100 from each side, the $200 pot is split on average as $131.20 for AQs and $68.80 for K9o; the first side gains $31.20 per all-in and the second gives up $31.20.
Think in thousands: about 653 of 1,000 go to AQs, about 342 go to K9o, and about 5 are chopped.
The same matchup from the other side
One page covers both views. From K9o's side the equity is 34.40%, and from AQs' side it is 65.60%.
Keep exploring
Open the calculator with AsQs against Kh9d already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of AQs 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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