75s
62.34%
Wins 58.68%, ties 7.32%
43s
37.66%
Wins 34.00%, ties 7.32%
75s against 43s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| 75s | 58.677 | 7.324 | 33.999 | 62.339 |
| 43s | 33.999 | 7.324 | 58.677 | 37.661 |
Two suited hands meet here: 75s against 43s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.
75s is ahead, but 43s is far from dead: it takes 340 of every 1,000 deals outright. A split pot comes up on 7.32% of boards, so the wins and the equity differ by half of that.
Place 124 of 169 belongs to 75s and place 150 belongs to 43s in the ranking against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| 75s | 16,076,000 | 2,007,000 | 9,315,000 |
| 43s | 9,315,000 | 2,007,000 | 16,076,000 |
16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, 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) |
|---|---|---|---|---|
| 75s | 1.655 | 1.704 | 2.941 | 0.604 |
| 43s | 0.604 | 2.941 | 1.704 | 1.655 |
In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.
Who is ahead on which flops
If you know the kind of flop that came, the numbers shift: 75s holds 64.22% on low rainbow flops (nine high or lower) and 60.33% on monotone flops. 75s stays ahead on all five textures.
| Flop | Share of flops | 75s wins | Ties | 43s wins | 75s equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 25.844 | 59.727 | 7.077 | 33.196 | 63.265 |
| Rainbow, nine or lower | 5.065 | 63.711 | 1.025 | 35.264 | 64.223 |
| Two-tone | 46.727 | 59.746 | 5.331 | 34.923 | 62.412 |
| Monotone | 5.273 | 56.833 | 6.998 | 36.169 | 60.332 |
| Paired | 17.091 | 53.243 | 15.115 | 31.642 | 60.800 |
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
How much does the opponent matter? Compared with its random-hand 43.68%, 75s changes by +18.66 points, and 43s, from 38.64%, by -0.98.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| 75s, all flops | 62.339 | 43.676 | +18.663 | 1.42731 |
| 75s, rainbow, ten or higher | 63.265 | 43.676 | +19.589 | 1.44851 |
| 75s, rainbow, nine or lower | 64.223 | 43.676 | +20.547 | 1.47044 |
| 75s, two-tone | 62.412 | 43.676 | +18.736 | 1.42898 |
| 75s, monotone | 60.332 | 43.676 | +16.656 | 1.38135 |
| 75s, paired | 60.800 | 43.676 | +17.124 | 1.39207 |
| 43s, all flops | 37.661 | 38.642 | -0.981 | 0.97461 |
| 43s, rainbow, ten or higher | 36.735 | 38.642 | -1.907 | 0.95065 |
| 43s, rainbow, nine or lower | 35.777 | 38.642 | -2.865 | 0.92586 |
| 43s, two-tone | 37.588 | 38.642 | -1.054 | 0.97272 |
| 43s, monotone | 39.668 | 38.642 | +1.026 | 1.02655 |
| 43s, paired | 39.200 | 38.642 | +0.558 | 1.01444 |
Does a shared suit matter?
The suit split reads 64.76% for 75s with a shared suit and 61.53% without one. 75s does better with a shared suit, by 3.23 points.
| Deals | Specific deals | Share of deals | 75s wins | Ties | 43s wins | 75s equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 60.828 | 7.868 | 31.304 | 64.762 |
| No shared suit | 12 | 75.00 | 57.960 | 7.143 | 34.897 | 61.531 |
How often this matchup comes up
Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.
A worked example
Take a $200 pot built from $100 each. 75s' equity of 62.34% is worth $124.68, a $24.68 edge, and 43s' 37.66% is worth $75.32, which is $24.68 under its stake.
Think in thousands: about 587 of 1,000 go to 75s, about 340 go to 43s, and about 73 are chopped.
The same matchup from the other side
The reversed view, 43s against 75s, shows 37.66% for 43s and 62.34% for 75s. It is the same count, so it redirects here.
Keep exploring
Try 7s5s against 4h3h 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
This is an exact count with no sampling. For the 16 ways to deal one 75s and one 43s 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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