AJo
45.81%
Wins 45.62%, ties 0.39%
66
54.19%
Wins 53.99%, ties 0.39%
AJo against 66: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJo | 45.619 | 0.391 | 53.990 | 45.814 |
| 66 | 53.990 | 0.391 | 45.619 | 54.186 |
We compare an offsuit hand with a pocket pair. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.
66 leads by less than 9 points of equity, so the result of any one deal is close to a toss-up. About 0.39% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, AJo sits at number 15 of 169 starting hands and 66 at number 17 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJo | 56,242,000 | 482,000 | 66,562,000 |
| 66 | 66,562,000 | 482,000 | 56,242,000 |
The board total is exact, 72 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) |
|---|---|---|---|---|
| AJo | 0.845 | 2.192 | 1.852 | 1.183 |
| 66 | 1.183 | 1.852 | 2.192 | 0.845 |
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
Break the boards down by their first three cards and 66 is strongest on low rainbow flops (nine high or lower) (80.83%) and weakest on rainbow flops topped by a ten or better (46.88%). The lead reverses on rainbow flops topped by a ten or better: there AJo is the favorite even though 66 is ahead overall.
| Flop | Share of flops | AJo wins | Ties | 66 wins | AJo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 53.034 | 0.181 | 46.785 | 53.124 |
| Rainbow, nine or lower | 6.314 | 18.799 | 0.737 | 80.464 | 19.167 |
| Two-tone | 46.485 | 46.388 | 0.283 | 53.329 | 46.529 |
| Monotone | 5.151 | 48.108 | 1.735 | 50.157 | 48.976 |
| Paired | 17.333 | 42.012 | 0.455 | 57.533 | 42.239 |
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
The table below sets each hand against its own random-hand baseline: a change of -17.75 points for AJo, from 63.56%, and -9.10 for 66, from 63.29%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJo, all flops | 45.814 | 63.563 | -17.749 | 0.72077 |
| AJo, rainbow, ten or higher | 53.124 | 63.563 | -10.439 | 0.83577 |
| AJo, rainbow, nine or lower | 19.167 | 63.563 | -44.396 | 0.30154 |
| AJo, two-tone | 46.529 | 63.563 | -17.034 | 0.73201 |
| AJo, monotone | 48.976 | 63.563 | -14.587 | 0.77051 |
| AJo, paired | 42.239 | 63.563 | -21.324 | 0.66452 |
| 66, all flops | 54.186 | 63.285 | -9.099 | 0.85622 |
| 66, rainbow, ten or higher | 46.876 | 63.285 | -16.409 | 0.74071 |
| 66, rainbow, nine or lower | 80.833 | 63.285 | +17.548 | 1.27729 |
| 66, two-tone | 53.471 | 63.285 | -9.814 | 0.84492 |
| 66, monotone | 51.024 | 63.285 | -12.261 | 0.80626 |
| 66, paired | 57.761 | 63.285 | -5.524 | 0.91271 |
Does a shared suit matter?
The suit split reads 54.10% for 66 with a shared suit and 54.60% without one. 66 does better with no shared suit, by 0.50 points.
| Deals | Specific deals | Share of deals | AJo wins | Ties | 66 wins | AJo equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 45.693 | 0.406 | 53.901 | 45.896 |
| No shared suit | 12 | 16.67 | 45.246 | 0.314 | 54.440 | 45.403 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are AJo in one seat and 66 in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 66 is worth $108.38 on average (+$8.38); AJo is worth $91.62 (-$8.38).
Over a long run, 1,000 deals split into about 540 for 66, 456 for AJo and 4 tied.
The same matchup from the other side
66 versus AJo is this same page seen from the other hand: 54.19% for 66, 45.81% for AJo.
Keep exploring
The calculator link fills in AsJh against 6d6c, 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 72 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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