ATo
60.70%
Wins 60.44%, ties 0.51%
43s
39.30%
Wins 39.05%, ties 0.51%
ATo against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| ATo | 60.443 | 0.512 | 39.045 | 60.699 |
| 43s | 39.045 | 0.512 | 60.443 | 39.301 |
Here an offsuit hand (ATo) meets a suited hand (43s). The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 21.40 point lead is real, and 43s still takes about 391 of every 1,000 deals outright. A split pot comes up on 0.51% of boards, so the wins and the equity differ by half of that.
ATo ranks number 19 of 169 starting hands, and 43s ranks number 150, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| ATo | 49,678,000 | 421,000 | 32,091,000 |
| 43s | 32,091,000 | 421,000 | 49,678,000 |
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) |
|---|---|---|---|---|
| ATo | 1.544 | 1.654 | 2.561 | 0.647 |
| 43s | 0.647 | 2.561 | 1.654 | 1.544 |
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
By flop texture, ATo's equity runs from 36.77% on low rainbow flops (nine high or lower) up to 68.21% on rainbow flops topped by a ten or better. Low rainbow flops (nine high or lower) favor 43s, the hand that is behind overall.
| Flop | Share of flops | ATo wins | Ties | 43s wins | ATo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.094 | 0.234 | 31.672 | 68.211 |
| Rainbow, nine or lower | 6.313 | 36.356 | 0.825 | 62.819 | 36.769 |
| Two-tone | 46.667 | 58.797 | 0.330 | 40.873 | 58.962 |
| Monotone | 5.212 | 57.495 | 2.548 | 39.957 | 58.769 |
| Paired | 17.091 | 63.666 | 0.678 | 35.656 | 64.005 |
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, ATo holds 62.72% and 43s holds 38.64%. Facing each other changes that by -2.02 points for ATo and +0.66 points for 43s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| ATo, all flops | 60.699 | 62.722 | -2.023 | 0.96775 |
| ATo, rainbow, ten or higher | 68.211 | 62.722 | +5.489 | 1.08751 |
| ATo, rainbow, nine or lower | 36.769 | 62.722 | -25.953 | 0.58622 |
| ATo, two-tone | 58.962 | 62.722 | -3.760 | 0.94005 |
| ATo, monotone | 58.769 | 62.722 | -3.953 | 0.93698 |
| ATo, paired | 64.005 | 62.722 | +1.283 | 1.02046 |
| 43s, all flops | 39.301 | 38.642 | +0.659 | 1.01705 |
| 43s, rainbow, ten or higher | 31.789 | 38.642 | -6.853 | 0.82265 |
| 43s, rainbow, nine or lower | 63.231 | 38.642 | +24.589 | 1.63633 |
| 43s, two-tone | 41.038 | 38.642 | +2.396 | 1.06201 |
| 43s, monotone | 41.231 | 38.642 | +2.589 | 1.06700 |
| 43s, paired | 35.995 | 38.642 | -2.647 | 0.93150 |
Does a shared suit matter?
Two kinds of deal exist here. In 24 of them the hands share a suit and ATo holds 61.40%. In 24 they do not, and it holds 60.00%. ATo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | ATo wins | Ties | 43s wins | ATo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.123 | 0.549 | 38.328 | 61.397 |
| No shared suit | 24 | 50.00 | 59.763 | 0.476 | 39.761 | 60.001 |
How often this matchup comes up
ATo against 43s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Take a $200 pot built from $100 each. ATo's equity of 60.70% is worth $121.40, a $21.40 edge, and 43s' 39.30% is worth $78.60, which is $21.40 under its stake.
In 1,000 deals of exactly this matchup, expect about 604 won outright by ATo, about 391 won outright by 43s and about 5 split.
The same matchup from the other side
If you came looking for 43s against ATo, the numbers are the same with the hands swapped: 39.30% and 60.70%.
Keep exploring
Try AsTh against 4d3d 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 ATo and one 43s 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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