A5s
55.63%
Wins 55.38%, ties 0.51%
QTs
44.37%
Wins 44.11%, ties 0.51%
A5s against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| A5s | 55.375 | 0.514 | 44.111 | 55.632 |
| QTs | 44.111 | 0.514 | 55.375 | 44.368 |
This is a contest between two suited hands, A5s and QTs. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 11.26 point lead is real, and QTs still takes about 441 of every 1,000 deals outright. Ties are 0.51% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, A5s is number 30 of the 169 starting hands and QTs is number 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| A5s | 15,171,000 | 141,000 | 12,085,000 |
| QTs | 12,085,000 | 141,000 | 15,171,000 |
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) |
|---|---|---|---|---|
| A5s | 1.254 | 1.806 | 2.267 | 0.798 |
| QTs | 0.798 | 2.267 | 1.806 | 1.254 |
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
A5s 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%. Rainbow flops topped by a ten or better favor QTs, the hand that is behind overall.
| Flop | Share of flops | A5s wins | Ties | QTs wins | A5s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 23.867 | 49.459 | 0.152 | 50.389 | 49.535 |
| Rainbow, nine or lower | 7.042 | 71.737 | 0.828 | 27.435 | 72.151 |
| Two-tone | 46.727 | 54.266 | 0.277 | 45.457 | 54.404 |
| Monotone | 5.273 | 51.710 | 3.432 | 44.858 | 53.426 |
| Paired | 17.091 | 61.059 | 0.636 | 38.305 | 61.377 |
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
How much does the opponent matter? Compared with its random-hand 59.92%, A5s changes by -4.29 points, and QTs, from 59.47%, by -15.10.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| A5s, all flops | 55.632 | 59.923 | -4.291 | 0.92839 |
| A5s, rainbow, ten or higher | 49.535 | 59.923 | -10.388 | 0.82664 |
| A5s, rainbow, nine or lower | 72.151 | 59.923 | +12.228 | 1.20406 |
| A5s, two-tone | 54.404 | 59.923 | -5.519 | 0.90790 |
| A5s, monotone | 53.426 | 59.923 | -6.497 | 0.89158 |
| A5s, paired | 61.377 | 59.923 | +1.454 | 1.02426 |
| 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 | 46.574 | 59.468 | -12.894 | 0.78318 |
| QTs, paired | 38.623 | 59.468 | -20.845 | 0.64948 |
Does a shared suit matter?
Split by suits, the deals give A5s 57.36% when the hands overlap in a suit and 55.06% when they do not. A5s does better with a shared suit, by 2.30 points.
| Deals | Specific deals | Share of deals | A5s wins | Ties | QTs wins | A5s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 57.065 | 0.595 | 42.340 | 57.363 |
| No shared suit | 12 | 75.00 | 54.812 | 0.487 | 44.701 | 55.055 |
How often this matchup comes up
A5s against QTs is made up of 16 specific-card matchups in one seat order, 0.0010% of the 1,624,350 ordered deals, and 32 counting both seat orders, 0.0020%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. A5s averages $111.26 from the $200, up $11.26; QTs averages $88.74, down $11.26.
Out of 1,000 deals you should see around 554 outright wins for A5s, 441 for QTs, and 5 split pots.
The same matchup from the other side
The reversed view, QTs against A5s, shows 44.37% for QTs and 55.63% for A5s. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in As5s against QhTh, 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
The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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