AJs
48.43%
Wins 48.22%, ties 0.42%
66
51.57%
Wins 51.36%, ties 0.42%
AJs against 66: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AJs | 48.224 | 0.417 | 51.359 | 48.433 |
| 66 | 51.359 | 0.417 | 48.224 | 51.567 |
One side is a suited hand, the other is a pocket pair. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
This is close to even money, with 66 a little ahead. 0.42% of boards are ties, so the equity of each hand is its win rate plus half of that.
Place 11 of 169 belongs to AJs and place 17 belongs to 66 in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AJs | 19,818,000 | 171,000 | 21,106,000 |
| 66 | 21,106,000 | 171,000 | 19,818,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| AJs | 0.939 | 2.074 | 1.947 | 1.065 |
| 66 | 1.065 | 1.947 | 2.074 | 0.939 |
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
The flop changes the picture. 66 does best on low rainbow flops (nine high or lower), at 78.11%, and worst on rainbow flops topped by a ten or better, at 45.43%. AJs is ahead on rainbow flops topped by a ten or better and two-tone flops, even though it trails 66 when every flop is counted.
| Flop | Share of flops | AJs wins | Ties | 66 wins | AJs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 54.485 | 0.176 | 45.339 | 54.573 |
| Rainbow, nine or lower | 6.314 | 21.538 | 0.704 | 77.758 | 21.890 |
| Two-tone | 46.545 | 49.983 | 0.263 | 49.754 | 50.114 |
| Monotone | 5.212 | 47.702 | 2.452 | 49.846 | 48.928 |
| Paired | 17.334 | 44.497 | 0.455 | 55.048 | 44.725 |
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
Against one random hand instead, AJs holds 65.39% and 66 holds 63.29%. Facing each other changes that by -16.96 points for AJs and -11.72 points for 66.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AJs, all flops | 48.433 | 65.393 | -16.960 | 0.74065 |
| AJs, rainbow, ten or higher | 54.573 | 65.393 | -10.820 | 0.83454 |
| AJs, rainbow, nine or lower | 21.890 | 65.393 | -43.503 | 0.33475 |
| AJs, two-tone | 50.114 | 65.393 | -15.279 | 0.76635 |
| AJs, monotone | 48.928 | 65.393 | -16.465 | 0.74821 |
| AJs, paired | 44.725 | 65.393 | -20.668 | 0.68394 |
| 66, all flops | 51.567 | 63.285 | -11.718 | 0.81484 |
| 66, rainbow, ten or higher | 45.427 | 63.285 | -17.858 | 0.71782 |
| 66, rainbow, nine or lower | 78.110 | 63.285 | +14.825 | 1.23426 |
| 66, two-tone | 49.886 | 63.285 | -13.399 | 0.78828 |
| 66, monotone | 51.072 | 63.285 | -12.213 | 0.80702 |
| 66, paired | 55.275 | 63.285 | -8.010 | 0.87343 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 66 has 51.75% equity, and with none in common it has 51.38%. 66 does better with a shared suit, by 0.37 points.
| Deals | Specific deals | Share of deals | AJs wins | Ties | 66 wins | AJs equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 48.018 | 0.460 | 51.522 | 48.248 |
| No shared suit | 12 | 50.00 | 48.431 | 0.373 | 51.196 | 48.618 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 66's average share is $103.14 (a gain of $3.14) and AJs' is $96.86 (a loss of $3.14).
Scaled to 1,000 deals, that is roughly 514 wins for 66, 482 for AJs and 4 chopped pots.
The same matchup from the other side
The reversed view, 66 against AJs, shows 51.57% for 66 and 48.43% for AJs. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in AsJs against 6h6d, 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
Each figure is a complete count over boards. Take the 24 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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