AKo vs 55: preflop equity

The exact count puts 55 at 54.62% and AKo at 45.38% when the two hands see all five board cards.

AKo

45.38%

Wins 45.16%, ties 0.46%

55

54.62%

Wins 54.38%, ties 0.46%

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

AKo against 55: the numbers

Exact preflop results for AKo against 55, in percent
HandWinsTiesLosesEquity
AKo45.1550.45654.38945.383
5554.3890.45645.15554.617

The first hand is an offsuit hand; the second is a pocket pair. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

This is close to even money, with 55 a little ahead. Of every 100 boards, about 0.46 are split pots, and the equity figures already include them.

The hand ranking puts AKo at 12 and 55 at 27 out of 169 starting hands.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AKo55,670,000562,00067,054,000
5567,054,000562,00055,670,000

Exact total: 72 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.

AKo against 55 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AKo0.8312.2151.8391.203
551.2031.8392.2150.831

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

55 prefers low rainbow flops (nine high or lower), where it holds 81.06%, and likes rainbow flops topped by a ten or better least, where it holds 47.81%. Watch for rainbow flops topped by a ten or better: on those flops AKo holds the better equity.

AKo against 55 by flop texture, in percent
FlopShare of flopsAKo winsTies55 winsAKo equity
Rainbow, ten or higher24.71752.0910.20847.70152.195
Rainbow, nine or lower6.31418.4750.94180.58418.945
Two-tone46.48545.6130.34354.04445.785
Monotone5.15147.6161.85850.52648.545
Paired17.33343.0210.52056.45943.281

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

A random hand would give AKo 65.32% and 55 60.33%. Against each other the change is -19.94 points for AKo and -5.71 for 55.

AKo and 55 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AKo, all flops45.38365.320-19.9370.69478
AKo, rainbow, ten or higher52.19565.320-13.1250.79907
AKo, rainbow, nine or lower18.94565.320-46.3750.29003
AKo, two-tone45.78565.320-19.5350.70093
AKo, monotone48.54565.320-16.7750.74319
AKo, paired43.28165.320-22.0390.66260
55, all flops54.61760.325-5.7080.90538
55, rainbow, ten or higher47.80560.325-12.5200.79246
55, rainbow, nine or lower81.05560.325+20.7301.34364
55, two-tone54.21560.325-6.1100.89872
55, monotone51.45560.325-8.8700.85296
55, paired56.71960.325-3.6060.94022

Does a shared suit matter?

Looking only at deals where the hands share a suit, 55 has 54.54%; looking only at deals where they do not, 55.02%. 55 does better with no shared suit, by 0.48 points.

AKo against 55 by suit overlap, in percent
DealsSpecific dealsShare of dealsAKo winsTies55 winsAKo equity
Share a suit6083.3345.2270.47154.30245.462
No shared suit1216.6744.7940.38254.82444.985

How often this matchup comes up

You will meet this exact matchup 0.0089% of the time in a random heads-up deal: 144 of 1,624,350, counting either seat order.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 55 gets $109.24 of it on average and AKo gets $90.76.

Scaled to 1,000 deals, that is roughly 544 wins for 55, 451 for AKo and 5 chopped pots.

The same matchup from the other side

The reversed view, 55 against AKo, shows 54.62% for 55 and 45.38% for AKo. It is the same count, so it redirects here.

The calculator link fills in AsKh against 5d5c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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