88
66.69%
Wins 66.48%, ties 0.43%
A3s
33.31%
Wins 33.09%, ties 0.43%
88 against A3s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 88 | 66.479 | 0.425 | 33.096 | 66.691 |
| A3s | 33.096 | 0.425 | 66.479 | 33.309 |
The matchup pits a pocket pair against a suited hand. One of the other hand's cards outranks the pair and one is below it, which makes this a closer race than a pair against two small cards.
88 is well ahead, and A3s needs a specific kind of board to catch up. A split pot comes up on 0.43% of boards, so the wins and the equity differ by half of that.
The hand ranking puts 88 at 7 and A3s at 38 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 88 | 27,320,000 | 175,000 | 13,601,000 |
| A3s | 13,601,000 | 175,000 | 27,320,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| 88 | 2.002 | 1.504 | 3.022 | 0.499 |
| A3s | 0.499 | 3.022 | 1.504 | 2.002 |
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 88 is strongest on low rainbow flops (nine high or lower) (78.66%) and weakest on monotone flops (62.80%). 88 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | 88 wins | Ties | A3s wins | 88 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.220 | 66.120 | 0.199 | 33.681 | 66.219 |
| Rainbow, nine or lower | 5.689 | 78.240 | 0.847 | 20.913 | 78.663 |
| Two-tone | 46.545 | 65.148 | 0.294 | 34.558 | 65.295 |
| Monotone | 5.212 | 61.600 | 2.399 | 36.001 | 62.799 |
| Paired | 17.334 | 68.181 | 0.374 | 31.445 | 68.368 |
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
A random hand would give 88 69.16% and A3s 58.22%. Against each other the change is -2.47 points for 88 and -24.91 for A3s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 88, all flops | 66.691 | 69.163 | -2.472 | 0.96426 |
| 88, rainbow, ten or higher | 66.219 | 69.163 | -2.944 | 0.95743 |
| 88, rainbow, nine or lower | 78.663 | 69.163 | +9.500 | 1.13736 |
| 88, two-tone | 65.295 | 69.163 | -3.868 | 0.94407 |
| 88, monotone | 62.799 | 69.163 | -6.364 | 0.90799 |
| 88, paired | 68.368 | 69.163 | -0.795 | 0.98851 |
| A3s, all flops | 33.309 | 58.220 | -24.911 | 0.57212 |
| A3s, rainbow, ten or higher | 33.781 | 58.220 | -24.439 | 0.58023 |
| A3s, rainbow, nine or lower | 21.337 | 58.220 | -36.883 | 0.36649 |
| A3s, two-tone | 34.705 | 58.220 | -23.515 | 0.59610 |
| A3s, monotone | 37.201 | 58.220 | -21.019 | 0.63897 |
| A3s, paired | 31.632 | 58.220 | -26.588 | 0.54332 |
Does a shared suit matter?
Split by suits, the deals give 88 66.99% when the hands overlap in a suit and 66.39% when they do not. 88 does better with a shared suit, by 0.60 points.
| Deals | Specific deals | Share of deals | 88 wins | Ties | A3s wins | 88 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 66.757 | 0.472 | 32.771 | 66.993 |
| No shared suit | 12 | 50.00 | 66.201 | 0.379 | 33.420 | 66.390 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are 88 in one seat and A3s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
Take a $200 pot built from $100 each. 88's equity of 66.69% is worth $133.38, a $33.38 edge, and A3s' 33.31% is worth $66.62, which is $33.38 under its stake.
Think in thousands: about 665 of 1,000 go to 88, about 331 go to A3s, and about 4 are chopped.
The same matchup from the other side
A3s versus 88 is this same page seen from the other hand: 33.31% for A3s, 66.69% for 88.
Keep exploring
8s8h against Ad3d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 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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