44
61.11%
Wins 59.30%, ties 3.62%
64s
38.89%
Wins 37.08%, ties 3.62%
44 against 64s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 44 | 59.303 | 3.623 | 37.074 | 61.114 |
| 64s | 37.074 | 3.623 | 59.303 | 38.886 |
The first hand is a pocket pair; the second is a suited hand. The pair already holds one of the other hand's ranks, and that overlap cuts down the cards the other hand can pair with.
That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 3.62% of boards, so the wins and the equity differ by half of that.
Place 48 of 169 belongs to 44 and place 138 belongs to 64s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 44 | 12,185,000 | 744,000 | 7,618,000 |
| 64s | 7,618,000 | 744,000 | 12,185,000 |
The total is exact: 12 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) |
|---|---|---|---|---|
| 44 | 1.572 | 1.686 | 2.697 | 0.636 |
| 64s | 0.636 | 2.697 | 1.686 | 1.572 |
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
Rainbow flops topped by a ten or better are the best for 44 (65.45%); low rainbow flops (nine high or lower) are the worst (46.08%). 64s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | 44 wins | Ties | 64s wins | 44 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.786 | 64.411 | 2.079 | 33.510 | 65.451 |
| Rainbow, nine or lower | 4.995 | 43.125 | 5.901 | 50.974 | 46.075 |
| Two-tone | 46.236 | 58.065 | 2.529 | 39.406 | 59.330 |
| Monotone | 5.152 | 56.394 | 3.936 | 39.670 | 58.362 |
| Paired | 17.831 | 60.494 | 7.965 | 31.541 | 64.477 |
A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.
Compared with a random hand
The table below sets each hand against its own random-hand baseline: a change of +4.09 points for 44, from 57.02%, and -2.44 for 64s, from 41.33%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 44, all flops | 61.114 | 57.023 | +4.091 | 1.07174 |
| 44, rainbow, ten or higher | 65.451 | 57.023 | +8.428 | 1.14780 |
| 44, rainbow, nine or lower | 46.075 | 57.023 | -10.948 | 0.80801 |
| 44, two-tone | 59.330 | 57.023 | +2.307 | 1.04046 |
| 44, monotone | 58.362 | 57.023 | +1.339 | 1.02348 |
| 44, paired | 64.477 | 57.023 | +7.454 | 1.13072 |
| 64s, all flops | 38.886 | 41.333 | -2.447 | 0.94080 |
| 64s, rainbow, ten or higher | 34.549 | 41.333 | -6.784 | 0.83587 |
| 64s, rainbow, nine or lower | 53.925 | 41.333 | +12.592 | 1.30465 |
| 64s, two-tone | 40.670 | 41.333 | -0.663 | 0.98396 |
| 64s, monotone | 41.638 | 41.333 | +0.305 | 1.00738 |
| 64s, paired | 35.523 | 41.333 | -5.810 | 0.85943 |
Does a shared suit matter?
For this pair the shared-suit row is empty: the two hands cannot both own a card of one suit without reusing a card.
| Deals | Specific deals | Share of deals | 44 wins | Ties | 64s wins | 44 equity |
|---|---|---|---|---|---|---|
| Share a suit | 0 | 0.00 | not possible | not possible | not possible | not possible |
| No shared suit | 12 | 100.00 | 59.303 | 3.623 | 37.074 | 61.114 |
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
Worked example: both players commit $100, so $200 sits in the middle. Over every board, 44's average share is $122.22 (a gain of $22.22) and 64s' is $77.78 (a loss of $22.22).
A thousand deals look like this: 44 takes 593, 64s takes 371, 36 are ties.
The same matchup from the other side
Read it from the other side: 64s against 44 is the same matchup with the numbers swapped, so 64s holds 38.89% and 44 holds 61.11%. That address sends you back to this page.
Keep exploring
Try 4s4h 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 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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