A2s vs 65s: preflop equity

Dealt all in against each other, A2s takes 55.37% of the pot on average and 65s takes the other 44.63%.

A2s

55.37%

Wins 55.09%, ties 0.58%

65s

44.63%

Wins 44.33%, ties 0.58%

Equity counts a tie as half a win. Exact over every board.

A2s against 65s: the numbers

Exact preflop results for A2s against 65s, in percent
HandWinsTiesLosesEquity
A2s55.0860.57644.33855.374
65s44.3380.57655.08644.626

A2s and 65s are both suited hands. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A2s is ahead, but 65s is far from dead: it takes 443 of every 1,000 deals outright. A split pot comes up on 0.58% of boards, so the wins and the equity differ by half of that.

By strength against a random hand, A2s holds place 46 of 169 and 65s holds place 128.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A2s15,092,000158,00012,147,000
65s12,147,000158,00015,092,000

Exact total: 16 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

A2s against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A2s1.2411.8152.2550.806
65s0.8062.2551.8151.241

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Break the boards down by their first three cards and A2s is strongest on paired flops (61.89%) and weakest on low rainbow flops (nine high or lower) (30.70%). Low rainbow flops (nine high or lower) favor 65s, the hand that is behind overall.

A2s against 65s by flop texture, in percent
FlopShare of flopsA2s winsTies65s winsA2s equity
Rainbow, ten or higher25.22059.3800.25540.36559.507
Rainbow, nine or lower5.68930.2450.90868.84730.699
Two-tone46.72753.8410.33545.82454.008
Monotone5.27351.4513.50845.04153.205
Paired17.09161.5450.69437.76161.892

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 57.38%, A2s changes by -2.01 points, and 65s, from 43.13%, by +1.50.

A2s and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A2s, all flops55.37457.379-2.0050.96506
A2s, rainbow, ten or higher59.50757.379+2.1281.03709
A2s, rainbow, nine or lower30.69957.379-26.6800.53502
A2s, two-tone54.00857.379-3.3710.94125
A2s, monotone53.20557.379-4.1740.92726
A2s, paired61.89257.379+4.5131.07865
65s, all flops44.62643.133+1.4931.03461
65s, rainbow, ten or higher40.49343.133-2.6400.93879
65s, rainbow, nine or lower69.30143.133+26.1681.60668
65s, two-tone45.99243.133+2.8591.06628
65s, monotone46.79543.133+3.6621.08490
65s, paired38.10843.133-5.0250.88350

Does a shared suit matter?

Split by suits, the deals give A2s 57.03% when the hands overlap in a suit and 54.82% when they do not. A2s does better with a shared suit, by 2.21 points.

A2s against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsA2s winsTies65s winsA2s equity
Share a suit425.0056.7030.66042.63757.033
No shared suit1275.0054.5470.54844.90554.821

How often this matchup comes up

Counting specific cards, A2s against 65s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. A2s averages $110.74 from the $200, up $10.74; 65s averages $89.26, down $10.74.

Out of 1,000 deals you should see around 551 outright wins for A2s, 443 for 65s, and 6 split pots.

The same matchup from the other side

The reversed view, 65s against A2s, shows 44.63% for 65s and 55.37% for A2s. It is the same count, so it redirects here.

Open the calculator with As2s against 6h5h 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 16 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

Source: our own exact count from the GeorgeLiPoker poker math library. No outside data is used.

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