QTo
60.04%
Wins 59.59%, ties 0.89%
65s
39.96%
Wins 39.52%, ties 0.89%
QTo against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| QTo | 59.589 | 0.894 | 39.517 | 60.036 |
| 65s | 39.517 | 0.894 | 59.589 | 39.964 |
The matchup pits an offsuit hand against a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
A 20.08 point lead is real, and 65s still takes about 395 of every 1,000 deals outright. 0.89% of boards are ties, so the equity of each hand is its win rate plus half of that.
In the ranking of all 169 starting hands, QTo is number 47 and 65s is number 128.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| QTo | 48,977,000 | 735,000 | 32,479,000 |
| 65s | 32,479,000 | 735,000 | 48,977,000 |
The total is exact: 48 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) |
|---|---|---|---|---|
| QTo | 1.502 | 1.678 | 2.531 | 0.666 |
| 65s | 0.666 | 2.531 | 1.678 | 1.502 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: QTo holds 68.71% on rainbow flops topped by a ten or better and 32.79% on low rainbow flops (nine high or lower). On low rainbow flops (nine high or lower) the numbers flip and 65s is the one ahead.
| Flop | Share of flops | QTo wins | Ties | 65s wins | QTo equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.717 | 68.486 | 0.455 | 31.059 | 68.714 |
| Rainbow, nine or lower | 6.313 | 32.463 | 0.652 | 66.885 | 32.789 |
| Two-tone | 46.667 | 58.374 | 0.470 | 41.156 | 58.609 |
| Monotone | 5.212 | 57.179 | 2.565 | 40.256 | 58.462 |
| Paired | 17.091 | 60.796 | 2.267 | 36.937 | 61.929 |
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 57.29%, QTo changes by +2.75 points, and 65s, from 43.13%, by -3.17.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| QTo, all flops | 60.036 | 57.291 | +2.745 | 1.04791 |
| QTo, rainbow, ten or higher | 68.714 | 57.291 | +11.423 | 1.19939 |
| QTo, rainbow, nine or lower | 32.789 | 57.291 | -24.502 | 0.57232 |
| QTo, two-tone | 58.609 | 57.291 | +1.318 | 1.02301 |
| QTo, monotone | 58.462 | 57.291 | +1.171 | 1.02044 |
| QTo, paired | 61.929 | 57.291 | +4.638 | 1.08096 |
| 65s, all flops | 39.964 | 43.133 | -3.169 | 0.92653 |
| 65s, rainbow, ten or higher | 31.286 | 43.133 | -11.847 | 0.72534 |
| 65s, rainbow, nine or lower | 67.211 | 43.133 | +24.078 | 1.55823 |
| 65s, two-tone | 41.391 | 43.133 | -1.742 | 0.95961 |
| 65s, monotone | 41.538 | 43.133 | -1.595 | 0.96302 |
| 65s, paired | 38.071 | 43.133 | -5.062 | 0.88264 |
Does a shared suit matter?
Does suit overlap move the numbers? QTo has 60.74% when the hands share a suit and 59.34% when they do not. QTo does better with a shared suit, by 1.40 points.
| Deals | Specific deals | Share of deals | QTo wins | Ties | 65s wins | QTo equity |
|---|---|---|---|---|---|---|
| Share a suit | 24 | 50.00 | 60.268 | 0.936 | 38.796 | 60.736 |
| No shared suit | 24 | 50.00 | 58.910 | 0.852 | 40.238 | 59.336 |
How often this matchup comes up
Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.
A worked example
Try it with money: two players each put in $100 and the whole board runs out every possible way. QTo averages $120.08 from the $200, up $20.08; 65s averages $79.92, down $20.08.
Over a long run, 1,000 deals split into about 596 for QTo, 395 for 65s and 9 tied.
The same matchup from the other side
The mirror image, 65s against QTo, is 39.96% to 60.04%, and its address redirects to this page.
Keep exploring
The calculator link fills in QsTh against 6d5d, 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 48 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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