66
55.98%
Wins 55.78%, ties 0.39%
A9o
44.02%
Wins 43.83%, ties 0.39%
66 against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66 | 55.781 | 0.389 | 43.830 | 55.975 |
| A9o | 43.830 | 0.389 | 55.781 | 44.025 |
We compare a pocket pair with an offsuit hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
A 11.96 point lead is real, and A9o still takes about 438 of every 1,000 deals outright. About 0.39% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
The hand ranking puts 66 at 17 and A9o at 25 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 66 | 68,770,000 | 480,000 | 54,036,000 |
| A9o | 54,036,000 | 480,000 | 68,770,000 |
Exact total: 72 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| 66 | 1.271 | 1.793 | 2.282 | 0.787 |
| A9o | 0.787 | 2.282 | 1.793 | 1.271 |
The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with 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 64.58%, and worst on monotone flops, at 52.41%. 66 stays ahead on all five textures.
| Flop | Share of flops | 66 wins | Ties | A9o wins | 66 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 53.720 | 0.212 | 46.068 | 53.826 |
| Rainbow, nine or lower | 5.689 | 64.262 | 0.631 | 35.107 | 64.577 |
| Two-tone | 46.485 | 55.267 | 0.278 | 44.455 | 55.406 |
| Monotone | 5.151 | 51.542 | 1.732 | 46.726 | 52.408 |
| Paired | 17.334 | 58.650 | 0.463 | 40.887 | 58.882 |
Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 63.29% for 66, 60.77% for A9o. Here the change is -7.31 and -16.75 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 66, all flops | 55.975 | 63.285 | -7.310 | 0.88449 |
| 66, rainbow, ten or higher | 53.826 | 63.285 | -9.459 | 0.85053 |
| 66, rainbow, nine or lower | 64.577 | 63.285 | +1.292 | 1.02042 |
| 66, two-tone | 55.406 | 63.285 | -7.879 | 0.87550 |
| 66, monotone | 52.408 | 63.285 | -10.877 | 0.82813 |
| 66, paired | 58.882 | 63.285 | -4.403 | 0.93043 |
| A9o, all flops | 44.025 | 60.773 | -16.748 | 0.72442 |
| A9o, rainbow, ten or higher | 46.174 | 60.773 | -14.599 | 0.75978 |
| A9o, rainbow, nine or lower | 35.423 | 60.773 | -25.350 | 0.58287 |
| A9o, two-tone | 44.594 | 60.773 | -16.179 | 0.73378 |
| A9o, monotone | 47.592 | 60.773 | -13.181 | 0.78311 |
| A9o, paired | 41.118 | 60.773 | -19.655 | 0.67658 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common 66 has 55.90% equity, and with none in common it has 56.36%. 66 does better with no shared suit, by 0.46 points.
| Deals | Specific deals | Share of deals | 66 wins | Ties | A9o wins | 66 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 55.696 | 0.404 | 43.900 | 55.898 |
| No shared suit | 12 | 16.67 | 56.208 | 0.312 | 43.480 | 56.364 |
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
Take a $200 pot built from $100 each. 66's equity of 55.98% is worth $111.96, a $11.96 edge, and A9o's 44.02% is worth $88.04, which is $11.96 under its stake.
Per 1,000 deals: 66 wins about 558, A9o wins about 438, and about 4 end in a split pot.
The same matchup from the other side
Swap the hands and you get A9o with 44.02% against 66 with 55.98%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
Open the calculator with 6s6h against Ad9c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
Method: exact enumeration. The 72 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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