88
53.57%
Wins 53.37%, ties 0.41%
QTo
46.43%
Wins 46.22%, ties 0.41%
88 against QTo: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 88 | 53.367 | 0.413 | 46.220 | 53.574 |
| QTo | 46.220 | 0.413 | 53.367 | 46.426 |
88, a pocket pair, plays QTo, an offsuit hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
With only 7.14 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.41% of boards end in a split pot, and each side counts that as half a win.
88 ranks number 7 of 169 starting hands, and QTo ranks number 47, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 88 | 65,794,000 | 509,000 | 56,983,000 |
| QTo | 56,983,000 | 509,000 | 65,794,000 |
72 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 | 1.154 | 1.874 | 2.164 | 0.867 |
| QTo | 0.867 | 2.164 | 1.874 | 1.154 |
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
If you know the kind of flop that came, the numbers shift: 88 holds 79.36% on low rainbow flops (nine high or lower) and 45.76% on rainbow flops topped by a ten or better. Watch for rainbow flops topped by a ten or better: on those flops QTo holds the better equity.
| Flop | Share of flops | 88 wins | Ties | QTo wins | 88 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 45.652 | 0.223 | 54.125 | 45.764 |
| Rainbow, nine or lower | 6.314 | 78.999 | 0.728 | 20.273 | 79.363 |
| Two-tone | 46.485 | 52.168 | 0.313 | 47.519 | 52.325 |
| Monotone | 5.151 | 49.354 | 1.706 | 48.940 | 50.207 |
| Paired | 17.333 | 59.440 | 0.455 | 40.105 | 59.667 |
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
Compared with a random opponent, this matchup shifts 88 from 69.16% by -15.59 points and QTo from 57.29% by -10.86 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 88, all flops | 53.574 | 69.163 | -15.589 | 0.77460 |
| 88, rainbow, ten or higher | 45.764 | 69.163 | -23.399 | 0.66168 |
| 88, rainbow, nine or lower | 79.363 | 69.163 | +10.200 | 1.14748 |
| 88, two-tone | 52.325 | 69.163 | -16.838 | 0.75655 |
| 88, monotone | 50.207 | 69.163 | -18.956 | 0.72592 |
| 88, paired | 59.667 | 69.163 | -9.496 | 0.86270 |
| QTo, all flops | 46.426 | 57.291 | -10.865 | 0.81035 |
| QTo, rainbow, ten or higher | 54.236 | 57.291 | -3.055 | 0.94668 |
| QTo, rainbow, nine or lower | 20.637 | 57.291 | -36.654 | 0.36021 |
| QTo, two-tone | 47.675 | 57.291 | -9.616 | 0.83216 |
| QTo, monotone | 49.793 | 57.291 | -7.498 | 0.86912 |
| QTo, paired | 40.333 | 57.291 | -16.958 | 0.70400 |
Does a shared suit matter?
When the hands share a suit, 88 holds 53.49%; when they do not, it holds 54.02%. 88 does better with no shared suit, by 0.53 points.
| Deals | Specific deals | Share of deals | 88 wins | Ties | QTo wins | 88 equity |
|---|---|---|---|---|---|---|
| Share a suit | 60 | 83.33 | 53.271 | 0.429 | 46.300 | 53.486 |
| No shared suit | 12 | 16.67 | 53.848 | 0.334 | 45.818 | 54.015 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 72 are 88 in one seat and QTo in the other (0.0044%); with the seats swapped too, 144 (0.0089%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. 88 averages $107.14 from the $200, up $7.14; QTo averages $92.86, down $7.14.
Scaled to 1,000 deals, that is roughly 534 wins for 88, 462 for QTo and 4 chopped pots.
The same matchup from the other side
Read it from the other side: QTo against 88 is the same matchup with the numbers swapped, so QTo holds 46.43% and 88 holds 53.57%. That address sends you back to this page.
Keep exploring
Try 8s8h against QdTc in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 72 specific deals of 88 against QTo, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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