QTo
61.27%
Wins 60.81%, ties 0.90%
75s
38.73%
Wins 38.29%, ties 0.90%
QTo against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.814 | 0.902 | 38.284 | 61.265 |
| 75s | 38.284 | 0.902 | 60.814 | 38.735 |
One side is an offsuit hand, the other is a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 22.54 point lead is real, and 75s still takes about 383 of every 1,000 deals outright. Ties are part of the picture: 0.90% of boards end in a split pot, and each side counts that as half a win.
Ranked by equity against a random hand, QTo is number 47 of the 169 starting hands and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,983,000 | 741,000 | 31,466,000 |
| 75s | 31,466,000 | 741,000 | 49,983,000 |
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 | 1.582 | 1.644 | 2.612 | 0.632 |
| 75s | 0.632 | 2.612 | 1.644 | 1.582 |
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
QTo prefers rainbow flops topped by a ten or better, where it holds 69.79%, and likes low rainbow flops (nine high or lower) least, where it holds 35.57%. The lead reverses on low rainbow flops (nine high or lower): there 75s is the favorite even though QTo is ahead overall.
| Flop | Share of flops | QTo wins | Ties | 75s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.545 | 0.495 | 29.960 | 69.792 |
| Rainbow, nine or lower | 6.313 | 35.289 | 0.564 | 64.147 | 35.571 |
| Two-tone | 46.667 | 59.664 | 0.480 | 39.856 | 59.904 |
| Monotone | 5.212 | 58.120 | 2.554 | 39.326 | 59.397 |
| Paired | 17.091 | 61.580 | 2.262 | 36.158 | 62.711 |
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
Each hand has a baseline against a random hand: 57.29% for QTo, 43.68% for 75s. Here the change is +3.98 and -4.95 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 61.265 | 57.291 | +3.974 | 1.06937 |
| QTo, rainbow, ten or higher | 69.792 | 57.291 | +12.501 | 1.21820 |
| QTo, rainbow, nine or lower | 35.571 | 57.291 | -21.720 | 0.62088 |
| QTo, two-tone | 59.904 | 57.291 | +2.613 | 1.04561 |
| QTo, monotone | 59.397 | 57.291 | +2.106 | 1.03676 |
| QTo, paired | 62.711 | 57.291 | +5.420 | 1.09460 |
| 75s, all flops | 38.735 | 43.676 | -4.941 | 0.88687 |
| 75s, rainbow, ten or higher | 30.208 | 43.676 | -13.468 | 0.69164 |
| 75s, rainbow, nine or lower | 64.429 | 43.676 | +20.753 | 1.47516 |
| 75s, two-tone | 40.096 | 43.676 | -3.580 | 0.91803 |
| 75s, monotone | 40.603 | 43.676 | -3.073 | 0.92964 |
| 75s, paired | 37.289 | 43.676 | -6.387 | 0.85376 |
Does a shared suit matter?
Split by suits, the deals give QTo 61.99% when the hands overlap in a suit and 60.54% when they do not. QTo does better with a shared suit, by 1.45 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 75s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.517 | 0.945 | 37.538 | 61.990 |
| No shared suit | 24 | 50.00 | 60.111 | 0.859 | 39.030 | 60.541 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
With $100 from each side, the $200 pot is split on average as $122.54 for QTo and $77.46 for 75s; the first side gains $22.54 per all-in and the second gives up $22.54.
Per 1,000 deals: QTo wins about 608, 75s wins about 383, and about 9 end in a split pot.
The same matchup from the other side
75s versus QTo is this same page seen from the other hand: 38.73% for 75s, 61.27% for QTo.
Keep exploring
The calculator link fills in QsTh against 7d5d, 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
All 1,712,304 five-card boards are dealt for every suit pattern among the 48 specific deals of QTo against 75s, 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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