QTs
63.74%
Wins 63.28%, ties 0.93%
75s
36.26%
Wins 35.79%, ties 0.93%
QTs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 63.279 | 0.927 | 35.794 | 63.743 |
| 75s | 35.794 | 0.927 | 63.279 | 36.257 |
Each side holds one of the suited hands: QTs and 75s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 27.48 point lead is real, and 75s still takes about 358 of every 1,000 deals outright. Ties are 0.93% of the outcomes here; each tied board gives both hands half the pot.
In the ranking of all 169 starting hands, QTs is number 34 and 75s is number 124.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 17,336,000 | 254,000 | 9,806,000 |
| 75s | 9,806,000 | 254,000 | 17,336,000 |
Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QTs | 1.758 | 1.580 | 2.794 | 0.569 |
| 75s | 0.569 | 2.794 | 1.580 | 1.758 |
The final column gives the least the pot must offer for each unit called for a call to break even at this equity.
Who is ahead on which flops
Break the boards down by their first three cards and QTs is strongest on rainbow flops topped by a ten or better (71.06%) and weakest on low rainbow flops (nine high or lower) (38.01%). The lead reverses on low rainbow flops (nine high or lower): there 75s is the favorite even though QTs is ahead overall.
| Flop | Share of flops | QTs wins | Ties | 75s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 70.824 | 0.480 | 28.696 | 71.064 |
| Rainbow, nine or lower | 6.314 | 37.739 | 0.541 | 61.720 | 38.010 |
| Two-tone | 46.727 | 63.031 | 0.456 | 36.513 | 63.259 |
| Monotone | 5.273 | 59.114 | 3.563 | 37.323 | 60.896 |
| Paired | 17.091 | 63.821 | 2.186 | 33.993 | 64.914 |
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
Compared with a random opponent, this matchup shifts QTs from 59.47% by +4.27 points and 75s from 43.68% by -7.42 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 63.743 | 59.468 | +4.275 | 1.07189 |
| QTs, rainbow, ten or higher | 71.064 | 59.468 | +11.596 | 1.19500 |
| QTs, rainbow, nine or lower | 38.010 | 59.468 | -21.458 | 0.63917 |
| QTs, two-tone | 63.259 | 59.468 | +3.791 | 1.06375 |
| QTs, monotone | 60.896 | 59.468 | +1.428 | 1.02401 |
| QTs, paired | 64.914 | 59.468 | +5.446 | 1.09158 |
| 75s, all flops | 36.257 | 43.676 | -7.419 | 0.83014 |
| 75s, rainbow, ten or higher | 28.936 | 43.676 | -14.740 | 0.66251 |
| 75s, rainbow, nine or lower | 61.990 | 43.676 | +18.314 | 1.41931 |
| 75s, two-tone | 36.741 | 43.676 | -6.935 | 0.84122 |
| 75s, monotone | 39.104 | 43.676 | -4.572 | 0.89532 |
| 75s, paired | 35.086 | 43.676 | -8.590 | 0.80332 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QTs has 66.14% equity, and with none in common it has 62.95%. QTs does better with a shared suit, by 3.19 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | 75s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 65.621 | 1.029 | 33.350 | 66.136 |
| No shared suit | 12 | 75.00 | 62.498 | 0.893 | 36.609 | 62.945 |
How often this matchup comes up
Counting specific cards, QTs against 75s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QTs averages $127.48 from the $200, up $27.48; 75s averages $72.52, down $27.48.
Think in thousands: about 633 of 1,000 go to QTs, about 358 go to 75s, and about 9 are chopped.
The same matchup from the other side
Read it from the other side: 75s against QTs is the same matchup with the numbers swapped, so 75s holds 36.26% and QTs holds 63.74%. That address sends you back to this page.
Keep exploring
Try QsTs against 7h5h 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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