AQo
60.10%
Wins 59.87%, ties 0.46%
75s
39.90%
Wins 39.67%, ties 0.46%
AQo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 59.870 | 0.462 | 39.668 | 60.101 |
| 75s | 39.668 | 0.462 | 59.870 | 39.899 |
AQo is an offsuit hand and 75s is a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. About 0.46% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
AQo ranks number 14 of 169 starting hands, and 75s ranks number 124, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 49,208,000 | 380,000 | 32,603,000 |
| 75s | 32,603,000 | 380,000 | 49,208,000 |
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) |
|---|---|---|---|---|
| AQo | 1.506 | 1.670 | 2.521 | 0.664 |
| 75s | 0.664 | 2.521 | 1.670 | 1.506 |
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
Across the five flop textures AQo's equity moves by 34.84 points, from 33.52% on low rainbow flops (nine high or lower) to 68.36% on rainbow flops topped by a ten or better. 75s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | AQo wins | Ties | 75s wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.268 | 0.184 | 31.548 | 68.360 |
| Rainbow, nine or lower | 6.313 | 33.140 | 0.755 | 66.105 | 33.517 |
| Two-tone | 46.667 | 58.315 | 0.284 | 41.401 | 58.457 |
| Monotone | 5.212 | 57.131 | 2.400 | 40.469 | 58.331 |
| Paired | 17.091 | 62.681 | 0.649 | 36.670 | 63.006 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
How much does the opponent matter? Compared with its random-hand 64.43%, AQo changes by -4.33 points, and 75s, from 43.68%, by -3.78.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 60.101 | 64.432 | -4.331 | 0.93278 |
| AQo, rainbow, ten or higher | 68.360 | 64.432 | +3.928 | 1.06096 |
| AQo, rainbow, nine or lower | 33.517 | 64.432 | -30.915 | 0.52019 |
| AQo, two-tone | 58.457 | 64.432 | -5.975 | 0.90727 |
| AQo, monotone | 58.331 | 64.432 | -6.101 | 0.90531 |
| AQo, paired | 63.006 | 64.432 | -1.426 | 0.97787 |
| 75s, all flops | 39.899 | 43.676 | -3.777 | 0.91352 |
| 75s, rainbow, ten or higher | 31.640 | 43.676 | -12.036 | 0.72443 |
| 75s, rainbow, nine or lower | 66.483 | 43.676 | +22.807 | 1.52219 |
| 75s, two-tone | 41.543 | 43.676 | -2.133 | 0.95116 |
| 75s, monotone | 41.669 | 43.676 | -2.007 | 0.95405 |
| 75s, paired | 36.994 | 43.676 | -6.682 | 0.84701 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common AQo has 60.81% equity, and with none in common it has 59.39%. AQo does better with a shared suit, by 1.42 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 75s wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.556 | 0.503 | 38.941 | 60.807 |
| No shared suit | 24 | 50.00 | 59.184 | 0.420 | 40.396 | 59.394 |
How often this matchup comes up
You will meet this exact matchup 0.0059% of the time in a random heads-up deal: 96 of 1,624,350, counting either seat order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AQo's average share is $120.20 (a gain of $20.20) and 75s' is $79.80 (a loss of $20.20).
Per 1,000 deals: AQo wins about 599, 75s wins about 397, and about 4 end in a split pot.
The same matchup from the other side
Read it from the other side: 75s against AQo is the same matchup with the numbers swapped, so 75s holds 39.90% and AQo holds 60.10%. That address sends you back to this page.
Keep exploring
AsQh against 7d5d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
We counted every case. Each suit pattern of the 48 specific AQo against 75s 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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