88
80.06%
Wins 79.60%, ties 0.92%
65s
19.94%
Wins 19.48%, ties 0.92%
88 against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 88 | 79.596 | 0.920 | 19.484 | 80.056 |
| 65s | 19.484 | 0.920 | 79.596 | 19.944 |
One side is a pocket pair, the other is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.
A gap this wide means 65s is in trouble before the flop and has few good runouts. Of every 100 boards, about 0.92 are split pots, and the equity figures already include them.
88 ranks number 7 of 169 starting hands, and 65s ranks number 128, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 88 | 32,710,000 | 378,000 | 8,007,000 |
| 65s | 8,007,000 | 378,000 | 32,710,000 |
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) |
|---|---|---|---|---|
| 88 | 4.014 | 1.256 | 5.132 | 0.249 |
| 65s | 0.249 | 5.132 | 1.256 | 4.014 |
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
By flop texture, 88's equity runs from 67.38% on low rainbow flops (nine high or lower) up to 84.69% 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 | 65s wins | 88 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 84.414 | 0.548 | 15.038 | 84.688 |
| Rainbow, nine or lower | 5.065 | 67.098 | 0.563 | 32.339 | 67.379 |
| Two-tone | 46.545 | 78.030 | 0.518 | 21.452 | 78.289 |
| Monotone | 5.212 | 73.168 | 2.604 | 24.228 | 74.470 |
| Paired | 17.334 | 82.203 | 2.154 | 15.643 | 83.280 |
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
Start from the random-hand figures, 69.16% for 88 and 43.13% for 65s. This opponent changes them by +10.90 and -23.19 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 88, all flops | 80.056 | 69.163 | +10.893 | 1.15750 |
| 88, rainbow, ten or higher | 84.688 | 69.163 | +15.525 | 1.22447 |
| 88, rainbow, nine or lower | 67.379 | 69.163 | -1.784 | 0.97421 |
| 88, two-tone | 78.289 | 69.163 | +9.126 | 1.13195 |
| 88, monotone | 74.470 | 69.163 | +5.307 | 1.07673 |
| 88, paired | 83.280 | 69.163 | +14.117 | 1.20411 |
| 65s, all flops | 19.944 | 43.133 | -23.189 | 0.46238 |
| 65s, rainbow, ten or higher | 15.312 | 43.133 | -27.821 | 0.35500 |
| 65s, rainbow, nine or lower | 32.621 | 43.133 | -10.512 | 0.75629 |
| 65s, two-tone | 21.711 | 43.133 | -21.422 | 0.50335 |
| 65s, monotone | 25.530 | 43.133 | -17.603 | 0.59189 |
| 65s, paired | 16.720 | 43.133 | -26.413 | 0.38764 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, 88 has 80.61%; looking only at deals where they do not, 79.50%. 88 does better with a shared suit, by 1.11 points.
| Deals | Specific deals | Share of deals | 88 wins | Ties | 65s wins | 88 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 80.131 | 0.962 | 18.907 | 80.612 |
| No shared suit | 12 | 50.00 | 79.061 | 0.878 | 20.061 | 79.500 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Put $100 each into a $200 pot and deal every board once: 88 averages $160.12 back, ahead of its $100 by $60.12, while 65s averages $39.88, short of its $100 by $60.12.
In 1,000 deals of exactly this matchup, expect about 796 won outright by 88, about 195 won outright by 65s and about 9 split.
The same matchup from the other side
The mirror image, 65s against 88, is 19.94% to 80.06%, and its address redirects to this page.
Keep exploring
The calculator link fills in 8s8h against 6d5d, 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
Method: exact enumeration. The 24 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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