A5s
59.55%
Wins 59.31%, ties 0.48%
KTo
40.45%
Wins 40.21%, ties 0.48%
A5s against KTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 59.307 | 0.479 | 40.214 | 59.546 |
| KTo | 40.214 | 0.479 | 59.307 | 40.454 |
The first hand is a suited hand; the second is an offsuit hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 19.10 point lead is real, and KTo still takes about 402 of every 1,000 deals outright. Split pots make up 0.48% of the boards, and both equity figures count them as half a win each.
The hand ranking puts A5s at 30 and KTo at 33 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 48,745,000 | 394,000 | 33,052,000 |
| KTo | 33,052,000 | 394,000 | 48,745,000 |
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) |
|---|---|---|---|---|
| A5s | 1.472 | 1.686 | 2.487 | 0.679 |
| KTo | 0.679 | 2.487 | 1.686 | 1.472 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Split by what the flop looks like, A5s peaks at 76.13% on low rainbow flops (nine high or lower) and bottoms out at 52.11% on rainbow flops topped by a ten or better. A5s stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | A5s wins | Ties | KTo wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.988 | 52.022 | 0.169 | 47.809 | 52.107 |
| Rainbow, nine or lower | 7.042 | 75.683 | 0.884 | 23.433 | 76.125 |
| Two-tone | 46.667 | 59.041 | 0.307 | 40.652 | 59.195 |
| Monotone | 5.212 | 55.072 | 2.400 | 42.528 | 56.272 |
| Paired | 17.091 | 64.799 | 0.633 | 34.568 | 65.115 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 59.92% for A5s, 59.74% for KTo. Here the change is -0.37 and -19.29 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 59.546 | 59.923 | -0.377 | 0.99371 |
| A5s, rainbow, ten or higher | 52.107 | 59.923 | -7.816 | 0.86957 |
| A5s, rainbow, nine or lower | 76.125 | 59.923 | +16.202 | 1.27038 |
| A5s, two-tone | 59.195 | 59.923 | -0.728 | 0.98785 |
| A5s, monotone | 56.272 | 59.923 | -3.651 | 0.93907 |
| A5s, paired | 65.115 | 59.923 | +5.192 | 1.08664 |
| KTo, all flops | 40.454 | 59.739 | -19.285 | 0.67718 |
| KTo, rainbow, ten or higher | 47.893 | 59.739 | -11.846 | 0.80170 |
| KTo, rainbow, nine or lower | 23.875 | 59.739 | -35.864 | 0.39966 |
| KTo, two-tone | 40.805 | 59.739 | -18.934 | 0.68305 |
| KTo, monotone | 43.728 | 59.739 | -16.011 | 0.73198 |
| KTo, paired | 34.885 | 59.739 | -24.854 | 0.58396 |
Does a shared suit matter?
Does suit overlap move the numbers? A5s has 59.21% when the hands share a suit and 59.89% when they do not. A5s does better with no shared suit, by 0.68 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | KTo wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 58.946 | 0.521 | 40.533 | 59.207 |
| No shared suit | 24 | 50.00 | 59.667 | 0.437 | 39.896 | 59.886 |
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 KTo in the other (0.0030%); with the seats swapped too, 96 (0.0059%).
A worked example
Take a $200 pot built from $100 each. A5s' equity of 59.55% is worth $119.10, a $19.10 edge, and KTo's 40.45% is worth $80.90, which is $19.10 under its stake.
A thousand deals look like this: A5s takes 593, KTo takes 402, 5 are ties.
The same matchup from the other side
KTo against A5s adds nothing new: it is 40.45% for KTo and 59.55% for A5s, the same figures reversed.
Keep exploring
Try As5s against KhTd 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
This is an exact count with no sampling. For the 48 ways to deal one A5s and one KTo 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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