88
80.60%
Wins 80.13%, ties 0.93%
64s
19.40%
Wins 18.94%, ties 0.93%
88 against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 88 | 80.134 | 0.925 | 18.941 | 80.596 |
| 64s | 18.941 | 0.925 | 80.134 | 19.404 |
Here a pocket pair (88) meets a suited hand (64s). Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
That is a heavy lead: 64s needs the board to help it on most runouts and still falls behind far more often than not. The tie share is 0.93%: on those boards the pot is chopped and neither hand wins outright.
88 ranks number 7 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 88 | 32,931,000 | 380,000 | 7,784,000 |
| 64s | 7,784,000 | 380,000 | 32,931,000 |
24 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| 88 | 4.154 | 1.248 | 5.280 | 0.241 |
| 64s | 0.241 | 5.280 | 1.248 | 4.154 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
By flop texture, 88's equity runs from 69.24% on low rainbow flops (nine high or lower) up to 85.15% on rainbow flops topped by a ten or better. 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 | 64s wins | 88 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 84.876 | 0.548 | 14.576 | 85.150 |
| Rainbow, nine or lower | 5.065 | 68.935 | 0.605 | 30.460 | 69.237 |
| Two-tone | 46.545 | 78.656 | 0.523 | 20.821 | 78.918 |
| Monotone | 5.212 | 73.680 | 2.610 | 23.710 | 74.985 |
| Paired | 17.334 | 82.242 | 2.154 | 15.604 | 83.319 |
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
Against one random hand instead, 88 holds 69.16% and 64s holds 41.33%. Facing each other changes that by +11.44 points for 88 and -21.93 points for 64s.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 88, all flops | 80.596 | 69.163 | +11.433 | 1.16531 |
| 88, rainbow, ten or higher | 85.150 | 69.163 | +15.987 | 1.23115 |
| 88, rainbow, nine or lower | 69.237 | 69.163 | +0.074 | 1.00107 |
| 88, two-tone | 78.918 | 69.163 | +9.755 | 1.14104 |
| 88, monotone | 74.985 | 69.163 | +5.822 | 1.08418 |
| 88, paired | 83.319 | 69.163 | +14.156 | 1.20468 |
| 64s, all flops | 19.404 | 41.333 | -21.929 | 0.46946 |
| 64s, rainbow, ten or higher | 14.850 | 41.333 | -26.483 | 0.35928 |
| 64s, rainbow, nine or lower | 30.763 | 41.333 | -10.570 | 0.74427 |
| 64s, two-tone | 21.082 | 41.333 | -20.251 | 0.51005 |
| 64s, monotone | 25.015 | 41.333 | -16.318 | 0.60521 |
| 64s, paired | 16.681 | 41.333 | -24.652 | 0.40358 |
Does a shared suit matter?
When the hands share a suit, 88 holds 81.18%; when they do not, it holds 80.02%. 88 does better with a shared suit, by 1.16 points.
| Deals | Specific deals | Share of deals | 88 wins | Ties | 64s wins | 88 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 80.692 | 0.967 | 18.341 | 81.176 |
| No shared suit | 12 | 50.00 | 79.575 | 0.883 | 19.542 | 80.017 |
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 64s 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 80.60% is worth $161.20, a $61.20 edge, and 64s' 19.40% is worth $38.80, which is $61.20 under its stake.
Over a long run, 1,000 deals split into about 801 for 88, 190 for 64s and 9 tied.
The same matchup from the other side
64s versus 88 is this same page seen from the other hand: 19.40% for 64s, 80.60% for 88.
Keep exploring
Open the calculator with 8s8h against 6d4d 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
We counted every case. Each suit pattern of the 24 specific 88 against 64s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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