77
49.74%
Wins 49.50%, ties 0.49%
QTs
50.26%
Wins 50.01%, ties 0.49%
77 against QTs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 77 | 49.500 | 0.486 | 50.014 | 49.743 |
| QTs | 50.014 | 0.486 | 49.500 | 50.257 |
One side is a pocket pair, the other is a suited hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.
That is a slim edge: neither hand is far ahead. About 0.49% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
In the ranking of all 169 starting hands, 77 is number 9 and QTs is number 34.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 77 | 20,342,000 | 200,000 | 20,553,000 |
| QTs | 20,553,000 | 200,000 | 20,342,000 |
Exact total: 24 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) |
|---|---|---|---|---|
| 77 | 0.990 | 2.020 | 1.999 | 1.010 |
| QTs | 1.010 | 1.999 | 2.020 | 0.990 |
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
Rainbow flops topped by a ten or better are the best for QTs (56.97%); low rainbow flops (nine high or lower) are the worst (24.30%). Low rainbow flops (nine high or lower) and paired flops favor 77, the hand that is behind overall.
| Flop | Share of flops | 77 wins | Ties | QTs wins | 77 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 42.893 | 0.268 | 56.839 | 43.027 |
| Rainbow, nine or lower | 6.314 | 75.437 | 0.527 | 24.036 | 75.701 |
| Two-tone | 46.545 | 47.582 | 0.303 | 52.115 | 47.733 |
| Monotone | 5.212 | 48.387 | 2.433 | 49.180 | 49.604 |
| Paired | 17.334 | 54.916 | 0.686 | 44.398 | 55.259 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
Each hand has a baseline against a random hand: 66.24% for 77, 59.47% for QTs. Here the change is -16.50 and -9.21 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 77, all flops | 49.743 | 66.236 | -16.493 | 0.75100 |
| 77, rainbow, ten or higher | 43.027 | 66.236 | -23.209 | 0.64960 |
| 77, rainbow, nine or lower | 75.701 | 66.236 | +9.465 | 1.14290 |
| 77, two-tone | 47.733 | 66.236 | -18.503 | 0.72065 |
| 77, monotone | 49.604 | 66.236 | -16.632 | 0.74890 |
| 77, paired | 55.259 | 66.236 | -10.977 | 0.83427 |
| QTs, all flops | 50.257 | 59.468 | -9.211 | 0.84511 |
| QTs, rainbow, ten or higher | 56.973 | 59.468 | -2.495 | 0.95804 |
| QTs, rainbow, nine or lower | 24.299 | 59.468 | -35.169 | 0.40861 |
| QTs, two-tone | 52.267 | 59.468 | -7.201 | 0.87891 |
| QTs, monotone | 50.396 | 59.468 | -9.072 | 0.84745 |
| QTs, paired | 44.741 | 59.468 | -14.727 | 0.75235 |
Does a shared suit matter?
Suit overlap shows up in the numbers. With a suit in common QTs has 50.11% equity, and with none in common it has 50.40%. QTs does better with no shared suit, by 0.29 points.
| Deals | Specific deals | Share of deals | 77 wins | Ties | QTs wins | 77 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.623 | 0.529 | 49.848 | 49.887 |
| No shared suit | 12 | 50.00 | 49.377 | 0.444 | 50.179 | 49.599 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 24 are 77 in one seat and QTs in the other (0.0015%); with the seats swapped too, 48 (0.0030%).
A worked example
With $100 from each side, the $200 pot is split on average as $100.52 for QTs and $99.48 for 77; the first side gains $0.52 per all-in and the second gives up $0.52.
Per 1,000 deals: QTs wins about 500, 77 wins about 495, and about 5 end in a split pot.
The same matchup from the other side
The reversed view, QTs against 77, shows 50.26% for QTs and 49.74% for 77. It is the same count, so it redirects here.
Keep exploring
The calculator link fills in 7s7h against QdTd, 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
Nothing here is simulated. The 24 deals of 77 against QTs fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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