AQs vs A5s: preflop equity

If AQs and A5s get all the chips in before the flop, AQs owns 69.31% of the pot in the long run and A5s owns 30.69%.

AQs

69.31%

Wins 66.61%, ties 5.40%

A5s

30.69%

Wins 27.99%, ties 5.40%

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

AQs against A5s: the numbers

Exact preflop results for AQs against A5s, in percent
HandWinsTiesLosesEquity
AQs66.6075.40327.99069.308
A5s27.9905.40366.60730.692

Each side holds one of the suited hands: AQs and A5s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

A lead of 38.62 points is large but not decisive: A5s still takes about 280 of every 1,000 deals. Ties are 5.40% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, AQs is number 10 of the 169 starting hands and A5s is number 30.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AQs13,686,0001,110,0005,751,000
A5s5,751,0001,110,00013,686,000

Exact total: 12 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.

AQs against A5s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AQs2.2581.5013.5730.443
A5s0.4433.5731.5012.258

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

If you know the kind of flop that came, the numbers shift: AQs holds 76.29% on rainbow flops topped by a ten or better and 54.20% on low rainbow flops (nine high or lower). AQs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AQs against A5s by flop texture, in percent
FlopShare of flopsAQs winsTiesA5s winsAQs equity
Rainbow, ten or higher23.86774.5503.47621.97476.288
Rainbow, nine or lower7.04252.1754.05443.77154.202
Two-tone46.54366.9563.29629.74868.604
Monotone5.21560.7985.26433.93863.430
Paired17.33362.34214.30423.35469.494

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 +3.10 points for AQs, from 66.21%, and -29.23 for A5s, from 59.92%.

AQs and A5s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AQs, all flops69.30866.209+3.0991.04681
AQs, rainbow, ten or higher76.28866.209+10.0791.15223
AQs, rainbow, nine or lower54.20266.209-12.0070.81865
AQs, two-tone68.60466.209+2.3951.03617
AQs, monotone63.43066.209-2.7790.95803
AQs, paired69.49466.209+3.2851.04962
A5s, all flops30.69259.923-29.2310.51219
A5s, rainbow, ten or higher23.71259.923-36.2110.39571
A5s, rainbow, nine or lower45.79859.923-14.1250.76428
A5s, two-tone31.39659.923-28.5270.52394
A5s, monotone36.57059.923-23.3530.61028
A5s, paired30.50659.923-29.4170.50909

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 69.31% for AQs.

AQs against A5s by suit overlap, in percent
DealsSpecific dealsShare of dealsAQs winsTiesA5s winsAQs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0066.6075.40327.99069.308

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are AQs against A5s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. AQs is worth $138.62 on average (+$38.62); A5s is worth $61.38 (-$38.62).

In 1,000 deals of exactly this matchup, expect about 666 won outright by AQs, about 280 won outright by A5s and about 54 split.

The same matchup from the other side

If you came looking for A5s against AQs, the numbers are the same with the hands swapped: 30.69% and 69.31%.

Try AsQs against Ah5h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 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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