QTo
61.30%
Wins 60.88%, ties 0.86%
86s
38.70%
Wins 38.26%, ties 0.86%
QTo against 86s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.875 | 0.855 | 38.270 | 61.303 |
| 86s | 38.270 | 0.855 | 60.875 | 38.697 |
QTo and 86s are an offsuit hand and a suited hand, in that order. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. The tie share is 0.86%: on those boards the pot is chopped and neither hand wins outright.
For context, QTo sits at number 47 of 169 starting hands and 86s at number 110 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 50,034,000 | 703,000 | 31,454,000 |
| 86s | 31,454,000 | 703,000 | 50,034,000 |
48 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) |
|---|---|---|---|---|
| QTo | 1.584 | 1.643 | 2.613 | 0.631 |
| 86s | 0.631 | 2.613 | 1.643 | 1.584 |
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
QTo prefers rainbow flops topped by a ten or better, where it holds 69.52%, and likes low rainbow flops (nine high or lower) least, where it holds 36.38%. Watch for low rainbow flops (nine high or lower): on those flops 86s holds the better equity.
| Flop | Share of flops | QTo wins | Ties | 86s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.305 | 0.436 | 30.259 | 69.523 |
| Rainbow, nine or lower | 6.313 | 36.123 | 0.507 | 63.370 | 36.377 |
| Two-tone | 46.667 | 59.689 | 0.427 | 39.884 | 59.902 |
| Monotone | 5.212 | 58.170 | 2.509 | 39.321 | 59.424 |
| Paired | 17.091 | 61.892 | 2.254 | 35.854 | 63.019 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 57.29% for QTo and 46.24% for 86s. This opponent changes them by +4.01 and -7.54 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 61.303 | 57.291 | +4.012 | 1.07003 |
| QTo, rainbow, ten or higher | 69.523 | 57.291 | +12.232 | 1.21351 |
| QTo, rainbow, nine or lower | 36.377 | 57.291 | -20.914 | 0.63495 |
| QTo, two-tone | 59.902 | 57.291 | +2.611 | 1.04557 |
| QTo, monotone | 59.424 | 57.291 | +2.133 | 1.03723 |
| QTo, paired | 63.019 | 57.291 | +5.728 | 1.09998 |
| 86s, all flops | 38.697 | 46.243 | -7.546 | 0.83682 |
| 86s, rainbow, ten or higher | 30.477 | 46.243 | -15.766 | 0.65906 |
| 86s, rainbow, nine or lower | 63.623 | 46.243 | +17.380 | 1.37584 |
| 86s, two-tone | 40.098 | 46.243 | -6.145 | 0.86712 |
| 86s, monotone | 40.576 | 46.243 | -5.667 | 0.87745 |
| 86s, paired | 36.981 | 46.243 | -9.262 | 0.79971 |
Does a shared suit matter?
Split by suits, the deals give QTo 62.01% when the hands overlap in a suit and 60.60% when they do not. QTo does better with a shared suit, by 1.41 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 86s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.557 | 0.897 | 37.546 | 62.006 |
| No shared suit | 24 | 50.00 | 60.193 | 0.813 | 38.994 | 60.599 |
How often this matchup comes up
QTo against 86s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.
A worked example
Take a $200 pot built from $100 each. QTo's equity of 61.30% is worth $122.60, a $22.60 edge, and 86s' 38.70% is worth $77.40, which is $22.60 under its stake.
Run 1,000 deals and the tally comes out near 609 for QTo, 383 for 86s and 8 ties.
The same matchup from the other side
The mirror image, 86s against QTo, is 38.70% to 61.30%, and its address redirects to this page.
Keep exploring
Open the calculator with QsTh against 8d6d 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of QTo against 86s, 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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