AQo
45.73%
Wins 45.51%, ties 0.44%
55
54.27%
Wins 54.05%, ties 0.44%
AQo against 55: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AQo | 45.512 | 0.443 | 54.045 | 45.734 |
| 55 | 54.045 | 0.443 | 45.512 | 54.266 |
One side is an offsuit hand, the other is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
55 leads by less than 9 points of equity, so the result of any one deal is close to a toss-up. Ties are 0.44% of the outcomes here; each tied board gives both hands half the pot.
Among the 169 starting hands, AQo is number 14 and 55 is number 27 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AQo | 56,110,000 | 546,000 | 66,630,000 |
| 55 | 66,630,000 | 546,000 | 56,110,000 |
The total is exact: 72 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 | 0.843 | 2.197 | 1.850 | 1.187 |
| 55 | 1.187 | 1.850 | 2.197 | 0.843 |
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
Low rainbow flops (nine high or lower) are the best for 55 (80.88%); rainbow flops topped by a ten or better are the worst (47.34%). Rainbow flops topped by a ten or better favor AQo, the hand that is behind overall.
| Flop | Share of flops | AQo wins | Ties | 55 wins | AQo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 52.567 | 0.195 | 47.238 | 52.665 |
| Rainbow, nine or lower | 6.314 | 18.670 | 0.906 | 80.424 | 19.123 |
| Two-tone | 46.485 | 46.016 | 0.326 | 53.658 | 46.179 |
| Monotone | 5.151 | 47.904 | 1.846 | 50.250 | 48.827 |
| Paired | 17.333 | 43.169 | 0.523 | 56.308 | 43.431 |
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
Relative to a random opponent, AQo changes by -18.70 points (baseline 64.43%) and 55 by -6.06 points (baseline 60.33%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AQo, all flops | 45.734 | 64.432 | -18.698 | 0.70980 |
| AQo, rainbow, ten or higher | 52.665 | 64.432 | -11.767 | 0.81737 |
| AQo, rainbow, nine or lower | 19.123 | 64.432 | -45.309 | 0.29679 |
| AQo, two-tone | 46.179 | 64.432 | -18.253 | 0.71671 |
| AQo, monotone | 48.827 | 64.432 | -15.605 | 0.75781 |
| AQo, paired | 43.431 | 64.432 | -21.001 | 0.67406 |
| 55, all flops | 54.266 | 60.325 | -6.059 | 0.89956 |
| 55, rainbow, ten or higher | 47.335 | 60.325 | -12.990 | 0.78467 |
| 55, rainbow, nine or lower | 80.877 | 60.325 | +20.552 | 1.34069 |
| 55, two-tone | 53.821 | 60.325 | -6.504 | 0.89218 |
| 55, monotone | 51.173 | 60.325 | -9.152 | 0.84829 |
| 55, paired | 56.569 | 60.325 | -3.756 | 0.93774 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 55 has 54.19%; looking only at deals where they do not, 54.67%. 55 does better with no shared suit, by 0.48 points.
| Deals | Specific deals | Share of deals | AQo wins | Ties | 55 wins | AQo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 45.586 | 0.457 | 53.957 | 45.814 |
| No shared suit | 12 | 16.67 | 45.146 | 0.369 | 54.485 | 45.331 |
How often this matchup comes up
Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 55 is worth $108.54 on average (+$8.54); AQo is worth $91.46 (-$8.54).
In 1,000 deals of exactly this matchup, expect about 541 won outright by 55, about 455 won outright by AQo and about 4 split.
The same matchup from the other side
The mirror image, 55 against AQo, is 54.27% to 45.73%, and its address redirects to this page.
Keep exploring
Try AsQh against 5d5c 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
We counted every case. Each suit pattern of the 72 specific AQo against 55 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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