QTo
61.00%
Wins 60.55%, ties 0.90%
64s
39.00%
Wins 38.55%, ties 0.90%
QTo against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 60.548 | 0.895 | 38.557 | 60.995 |
| 64s | 38.557 | 0.895 | 60.548 | 39.005 |
QTo and 64s are an offsuit hand and a suited hand, in that order. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
A 22.00 point lead is real, and 64s still takes about 386 of every 1,000 deals outright. Ties are 0.90% of the outcomes here; each tied board gives both hands half the pot.
Ranked by equity against a random hand, QTo is number 47 of the 169 starting hands and 64s is number 138.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 49,765,000 | 736,000 | 31,690,000 |
| 64s | 31,690,000 | 736,000 | 49,765,000 |
The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.
| Hand | Equity as odds (to 1) | Wins one deal in | Loses one deal in | Pot odds needed to call (to 1) |
|---|---|---|---|---|
| QTo | 1.564 | 1.652 | 2.594 | 0.639 |
| 64s | 0.639 | 2.594 | 1.652 | 1.564 |
The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.
Who is ahead on which flops
QTo prefers rainbow flops topped by a ten or better, where it holds 69.42%, and likes low rainbow flops (nine high or lower) least, where it holds 35.12%. The lead reverses on low rainbow flops (nine high or lower): there 64s is the favorite even though QTo is ahead overall.
| Flop | Share of flops | QTo wins | Ties | 64s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 69.192 | 0.455 | 30.353 | 69.420 |
| Rainbow, nine or lower | 6.313 | 34.795 | 0.652 | 64.553 | 35.121 |
| Two-tone | 46.667 | 59.320 | 0.470 | 40.210 | 59.555 |
| Monotone | 5.212 | 57.885 | 2.569 | 39.546 | 59.169 |
| Paired | 17.091 | 61.725 | 2.271 | 36.004 | 62.861 |
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: 57.29% for QTo, 41.33% for 64s. Here the change is +3.71 and -2.33 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 60.995 | 57.291 | +3.704 | 1.06465 |
| QTo, rainbow, ten or higher | 69.420 | 57.291 | +12.129 | 1.21171 |
| QTo, rainbow, nine or lower | 35.121 | 57.291 | -22.170 | 0.61303 |
| QTo, two-tone | 59.555 | 57.291 | +2.264 | 1.03952 |
| QTo, monotone | 59.169 | 57.291 | +1.878 | 1.03278 |
| QTo, paired | 62.861 | 57.291 | +5.570 | 1.09722 |
| 64s, all flops | 39.005 | 41.333 | -2.328 | 0.94368 |
| 64s, rainbow, ten or higher | 30.580 | 41.333 | -10.753 | 0.73984 |
| 64s, rainbow, nine or lower | 64.879 | 41.333 | +23.546 | 1.56967 |
| 64s, two-tone | 40.445 | 41.333 | -0.888 | 0.97852 |
| 64s, monotone | 40.831 | 41.333 | -0.502 | 0.98785 |
| 64s, paired | 37.139 | 41.333 | -4.194 | 0.89853 |
Does a shared suit matter?
Split by suits, the deals give QTo 61.71% when the hands overlap in a suit and 60.28% when they do not. QTo does better with a shared suit, by 1.43 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 64s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 61.243 | 0.937 | 37.820 | 61.711 |
| No shared suit | 24 | 50.00 | 59.853 | 0.853 | 39.294 | 60.279 |
How often this matchup comes up
How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are QTo against 64s, and 96 (0.0059%) if either hand may sit in either seat.
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, QTo's average share is $122.00 (a gain of $22.00) and 64s' is $78.00 (a loss of $22.00).
Think in thousands: about 605 of 1,000 go to QTo, about 386 go to 64s, and about 9 are chopped.
The same matchup from the other side
Swap the hands and you get 64s with 39.00% against QTo with 61.00%. We keep one page per matchup, with the better-ranked hand first.
Keep exploring
The calculator link fills in QsTh against 6d4d, 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
This is an exact count with no sampling. For the 48 ways to deal one QTo and one 64s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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