77
56.39%
Wins 56.21%, ties 0.37%
A9o
43.61%
Wins 43.42%, ties 0.37%
77 against A9o: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 56.210 | 0.367 | 43.423 | 56.394 |
| A9o | 43.423 | 0.367 | 56.210 | 43.606 |
The first hand is a pocket pair; the second is an offsuit hand. 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.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 0.37% of the boards, and both equity figures count them as half a win each.
The hand ranking puts 77 at 9 and A9o at 25 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 69,299,000 | 452,000 | 53,534,000 |
| A9o | 53,534,000 | 452,000 | 69,299,000 |
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) |
|---|---|---|---|---|
| 77 | 1.293 | 1.779 | 2.303 | 0.773 |
| A9o | 0.773 | 2.303 | 1.779 | 1.293 |
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
By flop texture, 77's equity runs from 52.62% on monotone flops up to 62.98% on low rainbow flops (nine high or lower). 77 stays ahead on all five textures.
| Flop | Share of flops | 77 wins | Ties | A9o wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.341 | 54.360 | 0.223 | 45.417 | 54.472 |
| Rainbow, nine or lower | 5.689 | 62.713 | 0.537 | 36.750 | 62.981 |
| Two-tone | 46.485 | 55.500 | 0.270 | 44.230 | 55.635 |
| Monotone | 5.151 | 51.776 | 1.689 | 46.535 | 52.620 |
| Paired | 17.334 | 60.002 | 0.390 | 39.608 | 60.197 |
Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.
Compared with a random hand
Against one random hand instead, 77 holds 66.24% and A9o holds 60.77%. Facing each other changes that by -9.85 points for 77 and -17.16 points for A9o.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 56.394 | 66.236 | -9.842 | 0.85141 |
| 77, rainbow, ten or higher | 54.472 | 66.236 | -11.764 | 0.82239 |
| 77, rainbow, nine or lower | 62.981 | 66.236 | -3.255 | 0.95086 |
| 77, two-tone | 55.635 | 66.236 | -10.601 | 0.83995 |
| 77, monotone | 52.620 | 66.236 | -13.616 | 0.79443 |
| 77, paired | 60.197 | 66.236 | -6.039 | 0.90883 |
| A9o, all flops | 43.606 | 60.773 | -17.167 | 0.71752 |
| A9o, rainbow, ten or higher | 45.528 | 60.773 | -15.245 | 0.74915 |
| A9o, rainbow, nine or lower | 37.019 | 60.773 | -23.754 | 0.60914 |
| A9o, two-tone | 44.365 | 60.773 | -16.408 | 0.73001 |
| A9o, monotone | 47.380 | 60.773 | -13.393 | 0.77962 |
| A9o, paired | 39.803 | 60.773 | -20.970 | 0.65495 |
Does a shared suit matter?
Of the deals of this matchup, 60 share a suit (77 at 56.32%) and 12 do not (56.78%). 77 does better with no shared suit, by 0.46 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | A9o wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 56.124 | 0.383 | 43.493 | 56.316 |
| No shared suit | 12 | 16.67 | 56.640 | 0.289 | 43.071 | 56.784 |
How often this matchup comes up
77 against A9o is made up of 72 specific-card matchups in one seat order, 0.0044% of the 1,624,350 ordered deals, and 144 counting both seat orders, 0.0089%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 77 averages $112.78 from the $200, up $12.78; A9o averages $87.22, down $12.78.
Think in thousands: about 562 of 1,000 go to 77, about 434 go to A9o, and about 4 are chopped.
The same matchup from the other side
A9o against 77 adds nothing new: it is 43.61% for A9o and 56.39% for 77, the same figures reversed.
Keep exploring
The calculator link fills in 7s7h against Ad9c, 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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