A6s
57.56%
Wins 57.35%, ties 0.42%
T9o
42.44%
Wins 42.23%, ties 0.42%
A6s against T9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A6s | 57.346 | 0.420 | 42.234 | 57.556 |
| T9o | 42.234 | 0.420 | 57.346 | 42.444 |
A6s and T9o are a suited hand and an offsuit hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 15.12 point lead is real, and T9o still takes about 422 of every 1,000 deals outright. Split pots make up 0.42% of the boards, and both equity figures count them as half a win each.
A6s ranks number 31 of 169 starting hands, and T9o ranks number 78, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A6s | 47,133,000 | 345,000 | 34,712,000 |
| T9o | 34,712,000 | 345,000 | 47,133,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| A6s | 1.356 | 1.744 | 2.368 | 0.737 |
| T9o | 0.737 | 2.368 | 1.744 | 1.356 |
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, A6s peaks at 63.51% on paired flops and bottoms out at 54.20% on low rainbow flops (nine high or lower). A6s stays ahead on all five textures.
| Flop | Share of flops | A6s wins | Ties | T9o wins | A6s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.665 | 55.541 | 0.166 | 44.293 | 55.624 |
| Rainbow, nine or lower | 6.365 | 53.908 | 0.592 | 45.500 | 54.204 |
| Two-tone | 46.667 | 57.041 | 0.234 | 42.725 | 57.158 |
| Monotone | 5.212 | 53.668 | 2.344 | 43.988 | 54.840 |
| Paired | 17.091 | 63.188 | 0.645 | 36.167 | 63.510 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 59.91% for A6s and 51.53% for T9o. This opponent changes them by -2.35 and -9.09 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A6s, all flops | 57.556 | 59.906 | -2.350 | 0.96077 |
| A6s, rainbow, ten or higher | 55.624 | 59.906 | -4.282 | 0.92852 |
| A6s, rainbow, nine or lower | 54.204 | 59.906 | -5.702 | 0.90482 |
| A6s, two-tone | 57.158 | 59.906 | -2.748 | 0.95413 |
| A6s, monotone | 54.840 | 59.906 | -5.066 | 0.91543 |
| A6s, paired | 63.510 | 59.906 | +3.604 | 1.06016 |
| T9o, all flops | 42.444 | 51.532 | -9.088 | 0.82364 |
| T9o, rainbow, ten or higher | 44.376 | 51.532 | -7.156 | 0.86113 |
| T9o, rainbow, nine or lower | 45.796 | 51.532 | -5.736 | 0.88869 |
| T9o, two-tone | 42.842 | 51.532 | -8.690 | 0.83137 |
| T9o, monotone | 45.160 | 51.532 | -6.372 | 0.87635 |
| T9o, paired | 36.490 | 51.532 | -15.042 | 0.70810 |
Does a shared suit matter?
Does suit overlap move the numbers? A6s has 57.21% when the hands share a suit and 57.91% when they do not. A6s does better with no shared suit, by 0.70 points.
| Deals | Specific deals | Share of deals | A6s wins | Ties | T9o wins | A6s equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 56.974 | 0.463 | 42.563 | 57.205 |
| No shared suit | 24 | 50.00 | 57.718 | 0.378 | 41.904 | 57.907 |
How often this matchup comes up
This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).
A worked example
Take a $200 pot built from $100 each. A6s' equity of 57.56% is worth $115.12, a $15.12 edge, and T9o's 42.44% is worth $84.88, which is $15.12 under its stake.
Per 1,000 deals: A6s wins about 574, T9o wins about 422, and about 4 end in a split pot.
The same matchup from the other side
T9o against A6s adds nothing new: it is 42.44% for T9o and 57.56% for A6s, the same figures reversed.
Keep exploring
Open the calculator with As6s against Th9d 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
We counted every case. Each suit pattern of the 48 specific A6s against T9o deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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