AKs
62.26%
Wins 62.01%, ties 0.51%
75s
37.74%
Wins 37.48%, ties 0.51%
AKs against 75s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AKs | 62.006 | 0.505 | 37.489 | 62.259 |
| 75s | 37.489 | 0.505 | 62.006 | 37.741 |
AKs meets 75s, and both are suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.
The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are part of the picture: 0.51% of boards end in a split pot, and each side counts that as half a win.
Among the 169 starting hands, AKs is number 8 and 75s is number 124 by strength against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AKs | 16,988,000 | 138,000 | 10,271,000 |
| 75s | 10,271,000 | 138,000 | 16,988,000 |
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) |
|---|---|---|---|---|
| AKs | 1.650 | 1.613 | 2.667 | 0.606 |
| 75s | 0.606 | 2.667 | 1.613 | 1.650 |
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
Rainbow flops topped by a ten or better are the best for AKs (69.11%); low rainbow flops (nine high or lower) are the worst (35.85%). Low rainbow flops (nine high or lower) favor 75s, the hand that is behind overall.
| Flop | Share of flops | AKs wins | Ties | 75s wins | AKs equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 69.021 | 0.172 | 30.807 | 69.107 |
| Rainbow, nine or lower | 6.314 | 35.471 | 0.748 | 63.781 | 35.845 |
| Two-tone | 46.727 | 61.368 | 0.265 | 38.367 | 61.500 |
| Monotone | 5.273 | 57.842 | 3.443 | 38.715 | 59.563 |
| Paired | 17.091 | 64.745 | 0.645 | 34.610 | 65.067 |
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
The table below sets each hand against its own random-hand baseline: a change of -4.79 points for AKs, from 67.05%, and -5.94 for 75s, from 43.68%.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AKs, all flops | 62.259 | 67.045 | -4.786 | 0.92862 |
| AKs, rainbow, ten or higher | 69.107 | 67.045 | +2.062 | 1.03076 |
| AKs, rainbow, nine or lower | 35.845 | 67.045 | -31.200 | 0.53464 |
| AKs, two-tone | 61.500 | 67.045 | -5.545 | 0.91729 |
| AKs, monotone | 59.563 | 67.045 | -7.482 | 0.88840 |
| AKs, paired | 65.067 | 67.045 | -1.978 | 0.97050 |
| 75s, all flops | 37.741 | 43.676 | -5.935 | 0.86411 |
| 75s, rainbow, ten or higher | 30.893 | 43.676 | -12.783 | 0.70732 |
| 75s, rainbow, nine or lower | 64.155 | 43.676 | +20.479 | 1.46888 |
| 75s, two-tone | 38.500 | 43.676 | -5.176 | 0.88149 |
| 75s, monotone | 40.437 | 43.676 | -3.239 | 0.92584 |
| 75s, paired | 34.933 | 43.676 | -8.743 | 0.79982 |
Does a shared suit matter?
Of the deals of this matchup, 4 share a suit (AKs at 64.49%) and 12 do not (61.51%). AKs does better with a shared suit, by 2.98 points.
| Deals | Specific deals | Share of deals | AKs wins | Ties | 75s wins | AKs equity |
|---|---|---|---|---|---|---|
| Share a suit | 4 | 25.00 | 64.200 | 0.585 | 35.215 | 64.492 |
| No shared suit | 12 | 75.00 | 61.275 | 0.478 | 38.247 | 61.514 |
How often this matchup comes up
Out of 1,624,350 ways to deal two seats two cards each, 16 are AKs in one seat and 75s in the other (0.0010%); with the seats swapped too, 32 (0.0020%).
A worked example
Worked example: both players commit $100, so $200 sits in the middle. Over every board, AKs' average share is $124.52 (a gain of $24.52) and 75s' is $75.48 (a loss of $24.52).
Run 1,000 deals and the tally comes out near 620 for AKs, 375 for 75s and 5 ties.
The same matchup from the other side
The reversed view, 75s against AKs, shows 37.74% for 75s and 62.26% for AKs. It is the same count, so it redirects here.
Keep exploring
Open the calculator with AsKs against 7h5h 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
Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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