AJs vs A5s: preflop equity

Counting every board, the equity split is 68.44% for AJs and 31.56% for A5s, so AJs leads by 36.88 points.

AJs

68.44%

Wins 64.83%, ties 7.21%

A5s

31.56%

Wins 27.96%, ties 7.21%

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

AJs against A5s: the numbers

Exact preflop results for AJs against A5s, in percent
HandWinsTiesLosesEquity
AJs64.8347.21227.95468.440
A5s27.9547.21264.83431.560

Both hands are suited hands: AJs and A5s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

That is a clear edge, 68.44% to 31.56%, but A5s still wins often enough that one hand proves nothing. Ties are part of the picture: 7.21% of boards end in a split pot, and each side counts that as half a win.

Ranked by equity against a random hand, AJs is number 11 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
AJs13,322,0001,482,0005,744,000
A5s5,744,0001,482,00013,322,000

The total is exact: 12 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.

AJs against A5s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJs2.1691.5423.5770.461
A5s0.4613.5771.5422.169

The last column is the break-even price: the pot odds a call needs to offer, as a ratio of pot to call.

Who is ahead on which flops

The flop changes the picture. AJs does best on rainbow flops topped by a ten or better, at 75.33%, and worst on low rainbow flops (nine high or lower), at 54.34%. AJs stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

AJs against A5s by flop texture, in percent
FlopShare of flopsAJs winsTiesA5s winsAJs equity
Rainbow, ten or higher23.86772.5855.48021.93575.325
Rainbow, nine or lower7.04252.3563.96143.68354.337
Two-tone46.54365.6114.68429.70567.953
Monotone5.21559.7456.34733.90862.919
Paired17.33358.67817.96823.35467.662

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Start from the random-hand figures, 65.39% for AJs and 59.92% for A5s. This opponent changes them by +3.05 and -28.36 points.

AJs and A5s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJs, all flops68.44065.393+3.0471.04660
AJs, rainbow, ten or higher75.32565.393+9.9321.15188
AJs, rainbow, nine or lower54.33765.393-11.0560.83093
AJs, two-tone67.95365.393+2.5601.03915
AJs, monotone62.91965.393-2.4740.96217
AJs, paired67.66265.393+2.2691.03470
A5s, all flops31.56059.923-28.3630.52668
A5s, rainbow, ten or higher24.67559.923-35.2480.41178
A5s, rainbow, nine or lower45.66359.923-14.2600.76203
A5s, two-tone32.04759.923-27.8760.53480
A5s, monotone37.08159.923-22.8420.61881
A5s, paired32.33859.923-27.5850.53966

Does a shared suit matter?

There is no shared-suit case for this pair, since the cards they would need are already in the other hand. Every deal is a no-shared-suit deal.

AJs against A5s by suit overlap, in percent
DealsSpecific dealsShare of dealsAJs winsTiesA5s winsAJs equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0064.8347.21227.95468.440

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Take a $200 pot built from $100 each. AJs' equity of 68.44% is worth $136.88, a $36.88 edge, and A5s' 31.56% is worth $63.12, which is $36.88 under its stake.

Out of 1,000 deals you should see around 648 outright wins for AJs, 280 for A5s, and 72 split pots.

The same matchup from the other side

The reversed view, A5s against AJs, shows 31.56% for A5s and 68.44% for AJs. It is the same count, so it redirects here.

The calculator link fills in AsJs against Ah5h, 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 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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