65s
55.50%
Wins 36.18%, ties 38.64%
64s
44.50%
Wins 25.18%, ties 38.64%
65s against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 65s | 36.179 | 38.638 | 25.183 | 55.498 |
| 64s | 25.183 | 38.638 | 36.179 | 44.502 |
65s and 64s are both suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 38.64 are split pots, and the equity figures already include them.
The hand ranking puts 65s at 128 and 64s at 138 out of 169 starting hands.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 65s | 7,434,000 | 7,939,000 | 5,175,000 |
| 64s | 5,175,000 | 7,939,000 | 7,434,000 |
Exact total: 12 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) |
|---|---|---|---|---|
| 65s | 1.247 | 2.764 | 3.971 | 0.802 |
| 64s | 0.802 | 3.971 | 2.764 | 1.247 |
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
Low rainbow flops (nine high or lower) are the best for 65s (61.24%); paired flops are the worst (52.75%). 65s stays ahead on all five textures.
| Flop | Share of flops | 65s wins | Ties | 64s wins | 65s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 34.468 | 42.651 | 22.881 | 55.794 |
| Rainbow, nine or lower | 5.065 | 49.213 | 24.063 | 26.724 | 61.244 |
| Two-tone | 46.543 | 38.569 | 34.580 | 26.851 | 55.859 |
| Monotone | 5.215 | 40.705 | 27.308 | 31.987 | 54.359 |
| Paired | 17.333 | 27.144 | 51.219 | 21.637 | 52.753 |
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
Each hand has a baseline against a random hand: 43.13% for 65s, 41.33% for 64s. Here the change is +12.37 and +3.17 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 65s, all flops | 55.498 | 43.133 | +12.365 | 1.28667 |
| 65s, rainbow, ten or higher | 55.794 | 43.133 | +12.661 | 1.29353 |
| 65s, rainbow, nine or lower | 61.244 | 43.133 | +18.111 | 1.41989 |
| 65s, two-tone | 55.859 | 43.133 | +12.726 | 1.29504 |
| 65s, monotone | 54.359 | 43.133 | +11.226 | 1.26026 |
| 65s, paired | 52.753 | 43.133 | +9.620 | 1.22303 |
| 64s, all flops | 44.502 | 41.333 | +3.169 | 1.07667 |
| 64s, rainbow, ten or higher | 44.206 | 41.333 | +2.873 | 1.06951 |
| 64s, rainbow, nine or lower | 38.756 | 41.333 | -2.577 | 0.93765 |
| 64s, two-tone | 44.141 | 41.333 | +2.808 | 1.06794 |
| 64s, monotone | 45.641 | 41.333 | +4.308 | 1.10423 |
| 64s, paired | 47.247 | 41.333 | +5.914 | 1.14308 |
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 | 65s wins | Ties | 64s wins | 65s equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 36.179 | 38.638 | 25.183 | 55.498 |
How often this matchup comes up
Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.
A worked example
With $100 from each side, the $200 pot is split on average as $111.00 for 65s and $89.00 for 64s; the first side gains $11.00 per all-in and the second gives up $11.00.
Run 1,000 deals and the tally comes out near 362 for 65s, 252 for 64s and 386 ties.
The same matchup from the other side
The mirror image, 64s against 65s, is 44.50% to 55.50%, and its address redirects to this page.
Keep exploring
The calculator link fills in 6s5s against 6h4h, 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
We counted every case. Each suit pattern of the 12 specific 65s against 64s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
Bring your own hands to a session
Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.
Book a session