44
50.68%
Wins 49.75%, ties 1.86%
75s
49.32%
Wins 48.39%, ties 1.86%
44 against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 44 | 49.750 | 1.863 | 48.387 | 50.682 |
| 75s | 48.387 | 1.863 | 49.750 | 49.318 |
The matchup pits a pocket pair against a suited hand. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.
With only 1.36 points between them, the board decides this matchup far more than the cards in hand. The tie share is 1.86%: on those boards the pot is chopped and neither hand wins outright.
44 ranks number 48 of 169 starting hands, and 75s ranks number 124, by equity against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 44 | 20,445,000 | 766,000 | 19,885,000 |
| 75s | 19,885,000 | 766,000 | 20,445,000 |
The board total is exact, 24 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) |
|---|---|---|---|---|
| 44 | 1.028 | 2.010 | 2.067 | 0.973 |
| 75s | 0.973 | 2.067 | 2.010 | 1.028 |
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
Break the boards down by their first three cards and 44 is strongest on paired flops (55.01%) and weakest on low rainbow flops (nine high or lower) (41.27%). 75s takes over on low rainbow flops (nine high or lower) and two-tone flops, so the favorite before the flop is the underdog on those boards.
| Flop | Share of flops | 44 wins | Ties | 75s wins | 44 equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 52.375 | 1.124 | 46.501 | 52.937 |
| Rainbow, nine or lower | 5.065 | 40.911 | 0.721 | 58.368 | 41.271 |
| Two-tone | 46.545 | 48.413 | 1.002 | 50.585 | 48.914 |
| Monotone | 5.212 | 48.341 | 3.384 | 48.275 | 50.033 |
| Paired | 17.334 | 52.434 | 5.153 | 42.413 | 55.011 |
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
Compared with a random opponent, this matchup shifts 44 from 57.02% by -6.34 points and 75s from 43.68% by +5.64 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 44, all flops | 50.682 | 57.023 | -6.341 | 0.88880 |
| 44, rainbow, ten or higher | 52.937 | 57.023 | -4.086 | 0.92834 |
| 44, rainbow, nine or lower | 41.271 | 57.023 | -15.752 | 0.72376 |
| 44, two-tone | 48.914 | 57.023 | -8.109 | 0.85779 |
| 44, monotone | 50.033 | 57.023 | -6.990 | 0.87742 |
| 44, paired | 55.011 | 57.023 | -2.012 | 0.96472 |
| 75s, all flops | 49.318 | 43.676 | +5.642 | 1.12918 |
| 75s, rainbow, ten or higher | 47.063 | 43.676 | +3.387 | 1.07755 |
| 75s, rainbow, nine or lower | 58.729 | 43.676 | +15.053 | 1.34465 |
| 75s, two-tone | 51.086 | 43.676 | +7.410 | 1.16966 |
| 75s, monotone | 49.967 | 43.676 | +6.291 | 1.14404 |
| 75s, paired | 44.989 | 43.676 | +1.313 | 1.03006 |
Does a shared suit matter?
Two kinds of deal exist here. In 12 of them the hands share a suit and 44 holds 50.80%. In 12 they do not, and it holds 50.57%. The two rows differ by only 0.23 points, so suits barely change this matchup.
| Deals | Specific deals | Share of deals | 44 wins | Ties | 75s wins | 44 equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 49.849 | 1.898 | 48.253 | 50.798 |
| No shared suit | 12 | 50.00 | 49.651 | 1.829 | 48.520 | 50.565 |
How often this matchup comes up
The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.
A worked example
To see what the equity is worth, imagine $100 each in a $200 pot. 44 is worth $101.36 on average (+$1.36); 75s is worth $98.64 (-$1.36).
Out of 1,000 deals you should see around 497 outright wins for 44, 484 for 75s, and 19 split pots.
The same matchup from the other side
Read it from the other side: 75s against 44 is the same matchup with the numbers swapped, so 75s holds 49.32% and 44 holds 50.68%. That address sends you back to this page.
Keep exploring
Open the calculator with 4s4h against 7d5d 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
Method: exact enumeration. The 24 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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