66
49.43%
Wins 49.15%, ties 0.54%
QJs
50.57%
Wins 50.31%, ties 0.54%
66 against QJs: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66 | 49.154 | 0.544 | 50.302 | 49.426 |
| QJs | 50.302 | 0.544 | 49.154 | 50.574 |
66 is a pocket pair and QJs 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.
QJs leads by less than 2 points of equity, so the result of any one deal is close to a toss-up. Ties are part of the picture: 0.54% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, 66 is number 17 and QJs is number 28 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 66 | 20,200,000 | 224,000 | 20,672,000 |
| QJs | 20,672,000 | 224,000 | 20,200,000 |
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) |
|---|---|---|---|---|
| 66 | 0.977 | 2.034 | 1.988 | 1.023 |
| QJs | 1.023 | 1.988 | 2.034 | 0.977 |
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
Across the five flop textures QJs' equity moves by 33.30 points, from 23.95% on low rainbow flops (nine high or lower) to 57.25% on rainbow flops topped by a ten or better. Low rainbow flops (nine high or lower) and paired flops favor 66, the hand that is behind overall.
| Flop | Share of flops | 66 wins | Ties | QJs wins | 66 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 42.635 | 0.236 | 57.129 | 42.753 |
| Rainbow, nine or lower | 6.314 | 75.713 | 0.677 | 23.610 | 76.051 |
| Two-tone | 46.545 | 47.431 | 0.310 | 52.259 | 47.586 |
| Monotone | 5.212 | 48.222 | 2.499 | 49.279 | 49.472 |
| Paired | 17.334 | 53.639 | 0.973 | 45.388 | 54.126 |
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
Relative to a random opponent, 66 changes by -13.86 points (baseline 63.29%) and QJs by -9.69 points (baseline 60.26%).
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 66, all flops | 49.426 | 63.285 | -13.859 | 0.78101 |
| 66, rainbow, ten or higher | 42.753 | 63.285 | -20.532 | 0.67556 |
| 66, rainbow, nine or lower | 76.051 | 63.285 | +12.766 | 1.20172 |
| 66, two-tone | 47.586 | 63.285 | -15.699 | 0.75193 |
| 66, monotone | 49.472 | 63.285 | -13.813 | 0.78173 |
| 66, paired | 54.126 | 63.285 | -9.159 | 0.85527 |
| QJs, all flops | 50.574 | 60.259 | -9.685 | 0.83928 |
| QJs, rainbow, ten or higher | 57.247 | 60.259 | -3.012 | 0.95002 |
| QJs, rainbow, nine or lower | 23.949 | 60.259 | -36.310 | 0.39743 |
| QJs, two-tone | 52.414 | 60.259 | -7.845 | 0.86981 |
| QJs, monotone | 50.528 | 60.259 | -9.731 | 0.83851 |
| QJs, paired | 45.874 | 60.259 | -14.385 | 0.76128 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, QJs has 50.42%; looking only at deals where they do not, 50.73%. QJs does better with no shared suit, by 0.31 points.
| Deals | Specific deals | Share of deals | 66 wins | Ties | QJs wins | 66 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.286 | 0.587 | 50.127 | 49.579 |
| No shared suit | 12 | 50.00 | 49.023 | 0.500 | 50.477 | 49.273 |
How often this matchup comes up
Exactly 24 specific deals fit this matchup in one seat order, which is 0.0015% of 1,624,350; both orders together give 48, or 0.0030%.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. QJs is worth $101.14 on average (+$1.14); 66 is worth $98.86 (-$1.14).
Out of 1,000 deals you should see around 503 outright wins for QJs, 492 for 66, and 5 split pots.
The same matchup from the other side
QJs against 66 adds nothing new: it is 50.57% for QJs and 49.43% for 66, the same figures reversed.
Keep exploring
Open the calculator with 6s6h against QdJd already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.
How this was computed
This is an exact count with no sampling. For the 24 ways to deal one 66 and one QJs 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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