A5s vs 65s: preflop equity

Dealt all in against each other, A5s takes 66.98% of the pot on average and 65s takes the other 33.02%.

A5s

66.98%

Wins 65.95%, ties 2.06%

65s

33.02%

Wins 31.99%, ties 2.06%

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

A5s against 65s: the numbers

Exact preflop results for A5s against 65s, in percent
HandWinsTiesLosesEquity
A5s65.9522.06131.98766.983
65s31.9872.06165.95233.017

The matchup is suited hands on both sides, A5s against 65s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

A5s is well ahead, and 65s needs a specific kind of board to catch up. Split pots make up 2.06% of the boards, and both equity figures count them as half a win each.

For context, A5s sits at number 30 of 169 starting hands and 65s at number 128 when each is run against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A5s13,552,000423,0006,573,000
65s6,573,000423,00013,552,000

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.

A5s against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A5s2.0291.5163.1260.493
65s0.4933.1261.5162.029

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Break the boards down by their first three cards and A5s is strongest on rainbow flops topped by a ten or better (72.30%) and weakest on low rainbow flops (nine high or lower) (46.12%). On low rainbow flops (nine high or lower) the numbers flip and 65s is the one ahead.

A5s against 65s by flop texture, in percent
FlopShare of flopsA5s winsTies65s winsA5s equity
Rainbow, ten or higher25.25471.7911.02027.18972.301
Rainbow, nine or lower5.65442.8896.45250.65946.115
Two-tone46.54364.5391.76233.69965.420
Monotone5.21559.0544.24036.70661.174
Paired17.33470.8382.29126.87171.983

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

How much does the opponent matter? Compared with its random-hand 59.92%, A5s changes by +7.06 points, and 65s, from 43.13%, by -10.11.

A5s and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A5s, all flops66.98359.923+7.0601.11782
A5s, rainbow, ten or higher72.30159.923+12.3781.20657
A5s, rainbow, nine or lower46.11559.923-13.8080.76957
A5s, two-tone65.42059.923+5.4971.09173
A5s, monotone61.17459.923+1.2511.02088
A5s, paired71.98359.923+12.0601.20126
65s, all flops33.01743.133-10.1160.76547
65s, rainbow, ten or higher27.69943.133-15.4340.64218
65s, rainbow, nine or lower53.88543.133+10.7521.24928
65s, two-tone34.58043.133-8.5530.80171
65s, monotone38.82643.133-4.3070.90015
65s, paired28.01743.133-15.1160.64955

Does a shared suit matter?

Every legal deal of A5s against 65s leaves the hands with no suit in common, so the suit split does not apply here.

A5s against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsA5s winsTies65s winsA5s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0065.9522.06131.98766.983

How often this matchup comes up

This page stands for 12 specific-card matchups (0.0007% of 1,624,350 ordered deals), or 24 once you count the seats both ways (0.0015%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average A5s takes back $133.96 of it, which is $33.96 more than it put in, and 65s takes back $66.04, $33.96 less than it put in.

Run 1,000 deals and the tally comes out near 659 for A5s, 320 for 65s and 21 ties.

The same matchup from the other side

65s against A5s adds nothing new: it is 33.02% for 65s and 66.98% for A5s, the same figures reversed.

Try As5s against 6h5h 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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