A9o
60.00%
Wins 59.78%, ties 0.46%
75s
40.00%
Wins 39.76%, ties 0.46%
A9o against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A9o | 59.776 | 0.455 | 39.769 | 60.003 |
| 75s | 39.769 | 0.455 | 59.776 | 39.997 |
The matchup pits an offsuit hand against a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
A 20.00 point lead is real, and 75s still takes about 398 of every 1,000 deals outright. Ties are 0.46% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, A9o is number 25 and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A9o | 49,130,000 | 374,000 | 32,686,000 |
| 75s | 32,686,000 | 374,000 | 49,130,000 |
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) |
|---|---|---|---|---|
| A9o | 1.500 | 1.673 | 2.515 | 0.667 |
| 75s | 0.667 | 2.515 | 1.673 | 1.500 |
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
Break the boards down by their first three cards and A9o is strongest on rainbow flops topped by a ten or better (64.96%) and weakest on low rainbow flops (nine high or lower) (43.86%). Watch for low rainbow flops (nine high or lower): on those flops 75s holds the better equity.
| Flop | Share of flops | A9o wins | Ties | 75s wins | A9o equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 64.844 | 0.229 | 34.927 | 64.958 |
| Rainbow, nine or lower | 5.689 | 43.572 | 0.565 | 55.863 | 43.855 |
| Two-tone | 46.667 | 58.169 | 0.272 | 41.559 | 58.305 |
| Monotone | 5.212 | 57.023 | 2.389 | 40.588 | 58.217 |
| Paired | 17.091 | 62.883 | 0.661 | 36.456 | 63.213 |
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
A random hand would give A9o 60.77% and 75s 43.68%. Against each other the change is -0.77 points for A9o and -3.68 for 75s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A9o, all flops | 60.003 | 60.773 | -0.770 | 0.98733 |
| A9o, rainbow, ten or higher | 64.958 | 60.773 | +4.185 | 1.06886 |
| A9o, rainbow, nine or lower | 43.855 | 60.773 | -16.918 | 0.72162 |
| A9o, two-tone | 58.305 | 60.773 | -2.468 | 0.95939 |
| A9o, monotone | 58.217 | 60.773 | -2.556 | 0.95794 |
| A9o, paired | 63.213 | 60.773 | +2.440 | 1.04015 |
| 75s, all flops | 39.997 | 43.676 | -3.679 | 0.91577 |
| 75s, rainbow, ten or higher | 35.042 | 43.676 | -8.634 | 0.80232 |
| 75s, rainbow, nine or lower | 56.145 | 43.676 | +12.469 | 1.28549 |
| 75s, two-tone | 41.695 | 43.676 | -1.981 | 0.95464 |
| 75s, monotone | 41.783 | 43.676 | -1.893 | 0.95666 |
| 75s, paired | 36.787 | 43.676 | -6.889 | 0.84227 |
Does a shared suit matter?
Does suit overlap move the numbers? A9o has 60.69% when the hands share a suit and 59.32% when they do not. A9o does better with a shared suit, by 1.37 points.
| Deals | Specific deals | Share of deals | A9o wins | Ties | 75s wins | A9o equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.441 | 0.496 | 39.063 | 60.689 |
| No shared suit | 24 | 50.00 | 59.111 | 0.413 | 40.476 | 59.318 |
How often this matchup comes up
A9o against 75s 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
Say each player puts $100 in before the flop, making a $200 pot. On average A9o takes back $120.00 of it, which is $20.00 more than it put in, and 75s takes back $80.00, $20.00 less than it put in.
Run 1,000 deals and the tally comes out near 598 for A9o, 398 for 75s and 4 ties.
The same matchup from the other side
The mirror image, 75s against A9o, is 40.00% to 60.00%, and its address redirects to this page.
Keep exploring
The calculator link fills in As9h against 7d5d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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