A7s vs 64s: preflop equity

Over all 1,712,304 boards that can follow this deal, A7s finishes with 62.80% of the pot and 64s with 37.20%.

A7s

62.80%

Wins 62.54%, ties 0.52%

64s

37.20%

Wins 36.94%, ties 0.52%

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

A7s against 64s: the numbers

Exact preflop results for A7s against 64s, in percent
HandWinsTiesLosesEquity
A7s62.5350.52036.94562.795
64s36.9450.52062.53537.205

Both hands are suited hands: A7s and 64s. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Ties are 0.52% of the outcomes here; each tied board gives both hands half the pot.

A7s ranks number 24 of 169 starting hands, and 64s ranks number 138, by equity against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A7s17,133,000142,00010,122,000
64s10,122,000142,00017,133,000

The total is exact: 16 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.

A7s against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A7s1.6881.5992.7070.592
64s0.5922.7071.5991.688

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

By flop texture, A7s' equity runs from 46.20% on low rainbow flops (nine high or lower) up to 66.67% on rainbow flops topped by a ten or better. The overall edge for A7s hides low rainbow flops (nine high or lower), where 64s comes out in front.

A7s against 64s by flop texture, in percent
FlopShare of flopsA7s winsTies64s winsA7s equity
Rainbow, ten or higher25.22066.5550.22933.21666.670
Rainbow, nine or lower5.68945.8820.63153.48746.198
Two-tone46.72761.8050.27337.92261.942
Monotone5.27357.9993.46838.53359.733
Paired17.09165.5440.67833.77865.883

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

Compared with a random opponent, this matchup shifts A7s from 60.98% by +1.82 points and 64s from 41.33% by -4.13 points.

A7s and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A7s, all flops62.79560.984+1.8111.02970
A7s, rainbow, ten or higher66.67060.984+5.6861.09324
A7s, rainbow, nine or lower46.19860.984-14.7860.75754
A7s, two-tone61.94260.984+0.9581.01571
A7s, monotone59.73360.984-1.2510.97949
A7s, paired65.88360.984+4.8991.08033
64s, all flops37.20541.333-4.1280.90013
64s, rainbow, ten or higher33.33041.333-8.0030.80638
64s, rainbow, nine or lower53.80241.333+12.4691.30167
64s, two-tone38.05841.333-3.2750.92077
64s, monotone40.26741.333-1.0660.97421
64s, paired34.11741.333-7.2160.82542

Does a shared suit matter?

Of the deals of this matchup, 4 share a suit (A7s at 65.15%) and 12 do not (62.01%). A7s does better with a shared suit, by 3.14 points.

A7s against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsA7s winsTies64s winsA7s equity
Share a suit425.0064.8500.59634.55465.148
No shared suit1275.0061.7640.49537.74162.011

How often this matchup comes up

How often does it happen? 16 of the 1,624,350 ordered deals (0.0010%) are A7s against 64s, and 32 (0.0020%) if either hand may sit in either seat.

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says A7s gets $125.60 of it on average and 64s gets $74.40.

A thousand deals look like this: A7s takes 625, 64s takes 370, 5 are ties.

The same matchup from the other side

The reversed view, 64s against A7s, shows 37.20% for 64s and 62.80% for A7s. It is the same count, so it redirects here.

Open the calculator with As7s against 6h4h already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

This is an exact count with no sampling. For the 16 ways to deal one A7s and one 64s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session