A5s
61.32%
Wins 61.08%, ties 0.48%
K9o
38.68%
Wins 38.44%, ties 0.48%
A5s against K9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 61.083 | 0.477 | 38.440 | 61.321 |
| K9o | 38.440 | 0.477 | 61.083 | 38.679 |
We compare a suited hand with an offsuit hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.48 are split pots, and the equity figures already include them.
Ranked by equity against a random hand, A5s is number 30 of the 169 starting hands and K9o is number 40.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 50,204,000 | 392,000 | 31,594,000 |
| K9o | 31,594,000 | 392,000 | 50,204,000 |
The board total is exact, 48 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) |
|---|---|---|---|---|
| A5s | 1.585 | 1.637 | 2.601 | 0.631 |
| K9o | 0.631 | 2.601 | 1.637 | 1.585 |
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
If you know the kind of flop that came, the numbers shift: A5s holds 66.01% on paired flops and 57.75% on monotone flops. A5s stays ahead on all five textures.
| Flop | Share of flops | A5s wins | Ties | K9o wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 59.424 | 0.176 | 40.400 | 59.512 |
| Rainbow, nine or lower | 6.365 | 59.574 | 0.914 | 39.512 | 60.031 |
| Two-tone | 46.667 | 60.983 | 0.304 | 38.713 | 61.135 |
| Monotone | 5.212 | 56.551 | 2.398 | 41.051 | 57.750 |
| Paired | 17.091 | 65.693 | 0.637 | 33.670 | 66.011 |
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
Start from the random-hand figures, 59.92% for A5s and 57.81% for K9o. This opponent changes them by +1.40 and -19.13 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 61.321 | 59.923 | +1.398 | 1.02333 |
| A5s, rainbow, ten or higher | 59.512 | 59.923 | -0.411 | 0.99314 |
| A5s, rainbow, nine or lower | 60.031 | 59.923 | +0.108 | 1.00180 |
| A5s, two-tone | 61.135 | 59.923 | +1.212 | 1.02023 |
| A5s, monotone | 57.750 | 59.923 | -2.173 | 0.96374 |
| A5s, paired | 66.011 | 59.923 | +6.088 | 1.10160 |
| K9o, all flops | 38.679 | 57.812 | -19.133 | 0.66905 |
| K9o, rainbow, ten or higher | 40.488 | 57.812 | -17.324 | 0.70034 |
| K9o, rainbow, nine or lower | 39.969 | 57.812 | -17.843 | 0.69136 |
| K9o, two-tone | 38.865 | 57.812 | -18.947 | 0.67227 |
| K9o, monotone | 42.250 | 57.812 | -15.562 | 0.73082 |
| K9o, paired | 33.989 | 57.812 | -23.823 | 0.58792 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common A5s has 61.01% equity, and with none in common it has 61.64%. A5s does better with no shared suit, by 0.63 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | K9o wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.745 | 0.519 | 38.736 | 61.005 |
| No shared suit | 24 | 50.00 | 61.420 | 0.435 | 38.145 | 61.638 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 48 are A5s in one seat and K9o in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A5s is worth $122.64 on average (+$22.64); K9o is worth $77.36 (-$22.64).
A thousand deals look like this: A5s takes 611, K9o takes 384, 5 are ties.
The same matchup from the other side
The mirror image, K9o against A5s, is 38.68% to 61.32%, and its address redirects to this page.
Keep exploring
Open the calculator with As5s 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
This is an exact count with no sampling. For the 48 ways to deal one A5s and one K9o without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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