AA
77.50%
Wins 77.29%, ties 0.42%
65s
22.50%
Wins 22.29%, ties 0.42%
AA against 65s: the numbers
| Hand | Wins | Ties | Loses | Equity |
|---|---|---|---|---|
| AA | 77.294 | 0.415 | 22.291 | 77.501 |
| 65s | 22.291 | 0.415 | 77.294 | 22.499 |
Here a pocket pair (AA) meets a suited hand (65s). The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.
AA is well ahead, and 65s needs a specific kind of board to catch up. Split pots make up 0.42% of the boards, and both equity figures count them as half a win each.
For context, AA sits at number 1 of 169 starting hands and 65s at number 128 when each is run against a random hand.
| Hand | Boards won, about | Boards tied, about | Boards lost, about |
|---|---|---|---|
| AA | 31,764,000 | 171,000 | 9,161,000 |
| 65s | 9,161,000 | 171,000 | 31,764,000 |
The total is exact: 24 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) |
|---|---|---|---|---|
| AA | 3.445 | 1.294 | 4.486 | 0.290 |
| 65s | 0.290 | 4.486 | 1.294 | 3.445 |
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
By flop texture, AA's equity runs from 59.57% on low rainbow flops (nine high or lower) up to 83.71% on rainbow flops topped by a ten or better. AA stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.
| Flop | Share of flops | AA wins | Ties | 65s wins | AA equity |
|---|---|---|---|---|---|
| Rainbow, ten or higher | 24.595 | 83.581 | 0.249 | 16.170 | 83.706 |
| Rainbow, nine or lower | 6.314 | 59.115 | 0.903 | 39.982 | 59.566 |
| Two-tone | 46.545 | 75.290 | 0.359 | 24.351 | 75.470 |
| Monotone | 5.212 | 71.307 | 2.467 | 26.226 | 72.541 |
| Paired | 17.334 | 82.172 | 0.007 | 17.821 | 82.176 |
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
Compared with a random opponent, this matchup shifts AA from 85.20% by -7.70 points and 65s from 43.13% by -20.63 points.
| Case | Equity here | Against a random hand | Change in points | Times the random-hand equity |
|---|---|---|---|---|
| AA, all flops | 77.501 | 85.204 | -7.703 | 0.90959 |
| AA, rainbow, ten or higher | 83.706 | 85.204 | -1.498 | 0.98242 |
| AA, rainbow, nine or lower | 59.566 | 85.204 | -25.638 | 0.69910 |
| AA, two-tone | 75.470 | 85.204 | -9.734 | 0.88576 |
| AA, monotone | 72.541 | 85.204 | -12.663 | 0.85138 |
| AA, paired | 82.176 | 85.204 | -3.028 | 0.96446 |
| 65s, all flops | 22.499 | 43.133 | -20.634 | 0.52162 |
| 65s, rainbow, ten or higher | 16.294 | 43.133 | -26.839 | 0.37776 |
| 65s, rainbow, nine or lower | 40.434 | 43.133 | -2.699 | 0.93743 |
| 65s, two-tone | 24.530 | 43.133 | -18.603 | 0.56871 |
| 65s, monotone | 27.459 | 43.133 | -15.674 | 0.63661 |
| 65s, paired | 17.824 | 43.133 | -25.309 | 0.41323 |
Does a shared suit matter?
Looking only at deals where the hands share a suit, AA has 78.06%; looking only at deals where they do not, 76.94%. AA does better with a shared suit, by 1.12 points.
| Deals | Specific deals | Share of deals | AA wins | Ties | 65s wins | AA equity |
|---|---|---|---|---|---|---|
| Share a suit | 12 | 50.00 | 77.830 | 0.456 | 21.714 | 78.058 |
| No shared suit | 12 | 50.00 | 76.756 | 0.375 | 22.869 | 76.944 |
How often this matchup comes up
This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).
A worked example
Take a $200 pot built from $100 each. AA's equity of 77.50% is worth $155.00, a $55.00 edge, and 65s' 22.50% is worth $45.00, which is $55.00 under its stake.
In 1,000 deals of exactly this matchup, expect about 773 won outright by AA, about 223 won outright by 65s and about 4 split.
The same matchup from the other side
65s against AA adds nothing new: it is 22.50% for 65s and 77.50% for AA, the same figures reversed.
Keep exploring
AsAh against 6d5d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.
How this was computed
All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of AA against 65s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.
Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.
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