QTs
44.37%
Wins 44.11%, ties 0.52%
A4s
55.63%
Wins 55.37%, ties 0.52%
QTs against A4s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTs | 44.111 | 0.515 | 55.374 | 44.368 |
| A4s | 55.374 | 0.515 | 44.111 | 55.632 |
QTs meets A4s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A4s is ahead, but QTs is far from dead: it takes 441 of every 1,000 deals outright. Ties are 0.52% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, QTs is number 34 of the 169 starting hands and A4s is number 35.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTs | 12,085,000 | 141,000 | 15,171,000 |
| A4s | 15,171,000 | 141,000 | 12,085,000 |
The total is exact: 16 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) |
|---|---|---|---|---|
| QTs | 0.798 | 2.267 | 1.806 | 1.254 |
| A4s | 1.254 | 1.806 | 2.267 | 0.798 |
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
A4s prefers low rainbow flops (nine high or lower), where it holds 72.15%, and likes rainbow flops topped by a ten or better least, where it holds 49.54%. Watch for rainbow flops topped by a ten or better: on those flops QTs holds the better equity.
| Flop | Share of flops | QTs wins | Ties | A4s wins | QTs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 50.389 | 0.152 | 49.459 | 50.465 |
| Rainbow, nine or lower | 7.042 | 27.435 | 0.828 | 71.737 | 27.849 |
| Two-tone | 46.727 | 45.457 | 0.277 | 54.266 | 45.596 |
| Monotone | 5.273 | 44.858 | 3.433 | 51.709 | 46.575 |
| Paired | 17.091 | 38.305 | 0.641 | 61.054 | 38.625 |
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
Each hand has a baseline against a random hand: 59.47% for QTs, 59.03% for A4s. Here the change is -15.10 and -3.40 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTs, all flops | 44.368 | 59.468 | -15.100 | 0.74608 |
| QTs, rainbow, ten or higher | 50.465 | 59.468 | -9.003 | 0.84861 |
| QTs, rainbow, nine or lower | 27.849 | 59.468 | -31.619 | 0.46830 |
| QTs, two-tone | 45.596 | 59.468 | -13.872 | 0.76673 |
| QTs, monotone | 46.575 | 59.468 | -12.893 | 0.78319 |
| QTs, paired | 38.625 | 59.468 | -20.843 | 0.64951 |
| A4s, all flops | 55.632 | 59.034 | -3.402 | 0.94237 |
| A4s, rainbow, ten or higher | 49.535 | 59.034 | -9.499 | 0.83909 |
| A4s, rainbow, nine or lower | 72.151 | 59.034 | +13.117 | 1.22219 |
| A4s, two-tone | 54.404 | 59.034 | -4.630 | 0.92157 |
| A4s, monotone | 53.425 | 59.034 | -5.609 | 0.90499 |
| A4s, paired | 61.375 | 59.034 | +2.341 | 1.03966 |
Does a shared suit matter?
When the hands share a suit, A4s holds 57.36%; when they do not, it holds 55.06%. A4s does better with a shared suit, by 2.30 points.
| Deals | Specific deals | Share of deals | QTs wins | Ties | A4s wins | QTs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 42.340 | 0.595 | 57.065 | 42.638 |
| No shared suit | 12 | 75.00 | 44.701 | 0.488 | 54.811 | 44.945 |
How often this matchup comes up
The class pair covers 16 combinations of specific cards in a fixed seat order, 0.0010% of 1,624,350, and 32 (0.0020%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. A4s is worth $111.26 on average (+$11.26); QTs is worth $88.74 (-$11.26).
Think in thousands: about 554 of 1,000 go to A4s, about 441 go to QTs, and about 5 are chopped.
The same matchup from the other side
The reversed view, A4s against QTs, shows 55.63% for A4s and 44.37% for QTs. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in QsTs against Ah4h, 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
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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