66
83.12%
Wins 80.81%, ties 4.62%
64s
16.88%
Wins 14.57%, ties 4.62%
66 against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 66 | 80.807 | 4.623 | 14.570 | 83.118 |
| 64s | 14.570 | 4.623 | 80.807 | 16.882 |
One side is a pocket pair, the other is a suited hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.
66 is a big favorite here before anyone sees a flop. About 4.62% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.
For context, 66 sits at number 17 of 169 starting hands and 64s at number 138 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 66 | 16,604,000 | 950,000 | 2,994,000 |
| 64s | 2,994,000 | 950,000 | 16,604,000 |
The board total is exact, 12 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) |
|---|---|---|---|---|
| 66 | 4.923 | 1.238 | 6.863 | 0.203 |
| 64s | 0.203 | 6.863 | 1.238 | 4.923 |
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
Break the boards down by their first three cards and 66 is strongest on rainbow flops topped by a ten or better (88.75%) and weakest on monotone flops (74.70%). 66 stays ahead on all five textures.
| Flop | Share of flops | 66 wins | Ties | 64s wins | 66 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.786 | 87.327 | 2.848 | 9.825 | 88.751 |
| Rainbow, nine or lower | 4.995 | 71.602 | 8.896 | 19.502 | 76.050 |
| Two-tone | 46.236 | 80.315 | 3.545 | 16.140 | 82.087 |
| Monotone | 5.152 | 72.624 | 4.154 | 23.222 | 74.701 |
| Paired | 17.831 | 77.597 | 8.923 | 13.480 | 82.059 |
Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.
Compared with a random hand
Start from the random-hand figures, 63.29% for 66 and 41.33% for 64s. This opponent changes them by +19.83 and -24.45 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 66, all flops | 83.118 | 63.285 | +19.833 | 1.31339 |
| 66, rainbow, ten or higher | 88.751 | 63.285 | +25.466 | 1.40240 |
| 66, rainbow, nine or lower | 76.050 | 63.285 | +12.765 | 1.20171 |
| 66, two-tone | 82.087 | 63.285 | +18.802 | 1.29710 |
| 66, monotone | 74.701 | 63.285 | +11.416 | 1.18039 |
| 66, paired | 82.059 | 63.285 | +18.774 | 1.29666 |
| 64s, all flops | 16.882 | 41.333 | -24.451 | 0.40844 |
| 64s, rainbow, ten or higher | 11.249 | 41.333 | -30.084 | 0.27216 |
| 64s, rainbow, nine or lower | 23.950 | 41.333 | -17.383 | 0.57944 |
| 64s, two-tone | 17.913 | 41.333 | -23.420 | 0.43338 |
| 64s, monotone | 25.299 | 41.333 | -16.034 | 0.61208 |
| 64s, paired | 17.941 | 41.333 | -23.392 | 0.43406 |
Does a shared suit matter?
There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.
| Deals | Specific deals | Share of deals | 66 wins | Ties | 64s wins | 66 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 80.807 | 4.623 | 14.570 | 83.118 |
How often this matchup comes up
You will meet this exact matchup 0.0015% of the time in a random heads-up deal: 24 of 1,624,350, counting either seat order.
A worked example
Say each player puts $100 in before the flop, making a $200 pot. On average 66 takes back $166.24 of it, which is $66.24 more than it put in, and 64s takes back $33.76, $66.24 less than it put in.
Scaled to 1,000 deals, that is roughly 808 wins for 66, 146 for 64s and 46 chopped pots.
The same matchup from the other side
64s against 66 adds nothing new: it is 16.88% for 64s and 83.12% for 66, the same figures reversed.
Keep exploring
Try 6s6h against 6d4d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.
How this was computed
The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 12 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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