55 vs A2s: preflop equity

Averaged over every possible board, 55 is ahead of A2s by 33.34 points of equity, 66.67% to 33.33%.

55

66.67%

Wins 66.40%, ties 0.54%

A2s

33.33%

Wins 33.06%, ties 0.54%

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

55 against A2s: the numbers

Exact preflop results for 55 against A2s, in percent
HandWinsTiesLosesEquity
5566.4000.54133.05966.670
A2s33.0590.54166.40033.330

The first hand is a pocket pair; the second is a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

That is a clear edge, 66.67% to 33.33%, but A2s still wins often enough that one hand proves nothing. The tie share is 0.54%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, 55 is number 27 of the 169 starting hands and A2s is number 46.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
5527,287,000222,00013,586,000
A2s13,586,000222,00027,287,000

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.

55 against A2s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
552.0001.5063.0250.500
A2s0.5003.0251.5062.000

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

If you know the kind of flop that came, the numbers shift: 55 holds 82.08% on low rainbow flops (nine high or lower) and 62.97% on monotone flops. 55 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

55 against A2s by flop texture, in percent
FlopShare of flops55 winsTiesA2s wins55 equity
Rainbow, ten or higher25.22066.2270.29133.48266.372
Rainbow, nine or lower5.68981.6130.94017.44782.083
Two-tone46.54565.7550.37333.87265.942
Monotone5.21261.6462.64135.71362.966
Paired17.33464.8200.59234.58865.116

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

Against one random hand instead, 55 holds 60.33% and A2s holds 57.38%. Facing each other changes that by +6.34 points for 55 and -24.05 points for A2s.

55 and A2s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
55, all flops66.67060.325+6.3451.10518
55, rainbow, ten or higher66.37260.325+6.0471.10024
55, rainbow, nine or lower82.08360.325+21.7581.36068
55, two-tone65.94260.325+5.6171.09311
55, monotone62.96660.325+2.6411.04378
55, paired65.11660.325+4.7911.07942
A2s, all flops33.33057.379-24.0490.58087
A2s, rainbow, ten or higher33.62857.379-23.7510.58607
A2s, rainbow, nine or lower17.91757.379-39.4620.31226
A2s, two-tone34.05857.379-23.3210.59356
A2s, monotone37.03457.379-20.3450.64543
A2s, paired34.88457.379-22.4950.60796

Does a shared suit matter?

The suit split reads 66.96% for 55 with a shared suit and 66.39% without one. 55 does better with a shared suit, by 0.57 points.

55 against A2s by suit overlap, in percent
DealsSpecific dealsShare of deals55 winsTiesA2s wins55 equity
Share a suit1250.0066.6640.58232.75466.955
No shared suit1250.0066.1360.49933.36566.386

How often this matchup comes up

55 against A2s is made up of 24 specific-card matchups in one seat order, 0.0015% of the 1,624,350 ordered deals, and 48 counting both seat orders, 0.0030%.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 55 is worth $133.34 on average (+$33.34); A2s is worth $66.66 (-$33.34).

Out of 1,000 deals you should see around 664 outright wins for 55, 331 for A2s, and 5 split pots.

The same matchup from the other side

Read it from the other side: A2s against 55 is the same matchup with the numbers swapped, so A2s holds 33.33% and 55 holds 66.67%. That address sends you back to this page.

Try 5s5h against Ad2d 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

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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