AJo vs 64s: preflop equity

Before any board card is dealt, AJo holds 60.27% equity against 64s, which leaves 64s with 39.73%.

AJo

60.27%

Wins 60.03%, ties 0.47%

64s

39.73%

Wins 39.50%, ties 0.47%

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

AJo against 64s: the numbers

Exact preflop results for AJo against 64s, in percent
HandWinsTiesLosesEquity
AJo60.0300.47339.49760.267
64s39.4970.47360.03039.733

The matchup pits an offsuit hand against a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

AJo is ahead, but 64s is far from dead: it takes 395 of every 1,000 deals outright. Ties are 0.47% of the outcomes here; each tied board gives both hands half the pot.

For context, AJo sits at number 15 of 169 starting hands and 64s at number 138 when each is run against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJo49,339,000389,00032,463,000
64s32,463,000389,00049,339,000

Exact total: 48 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.

AJo against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJo1.5171.6662.5320.659
64s0.6592.5321.6661.517

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

Split by what the flop looks like, AJo peaks at 68.66% on rainbow flops topped by a ten or better and bottoms out at 33.17% on low rainbow flops (nine high or lower). 64s is ahead on low rainbow flops (nine high or lower), even though it trails AJo when every flop is counted.

AJo against 64s by flop texture, in percent
FlopShare of flopsAJo winsTies64s winsAJo equity
Rainbow, ten or higher24.71768.5710.17231.25768.657
Rainbow, nine or lower6.31332.7410.85966.40033.171
Two-tone46.66758.4540.29341.25358.601
Monotone5.21257.2372.42340.34058.448
Paired17.09162.9160.66136.42363.246

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

Against one random hand instead, AJo holds 63.56% and 64s holds 41.33%. Facing each other changes that by -3.29 points for AJo and -1.60 points for 64s.

AJo and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJo, all flops60.26763.563-3.2960.94815
AJo, rainbow, ten or higher68.65763.563+5.0941.08014
AJo, rainbow, nine or lower33.17163.563-30.3920.52186
AJo, two-tone58.60163.563-4.9620.92194
AJo, monotone58.44863.563-5.1150.91953
AJo, paired63.24663.563-0.3170.99501
64s, all flops39.73341.333-1.6000.96129
64s, rainbow, ten or higher31.34341.333-9.9900.75830
64s, rainbow, nine or lower66.82941.333+25.4961.61684
64s, two-tone41.39941.333+0.0661.00160
64s, monotone41.55241.333+0.2191.00530
64s, paired36.75441.333-4.5790.88922

Does a shared suit matter?

Does suit overlap move the numbers? AJo has 60.98% when the hands share a suit and 59.55% when they do not. AJo does better with a shared suit, by 1.43 points.

AJo against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsAJo winsTies64s winsAJo equity
Share a suit2450.0060.7230.51438.76360.980
No shared suit2450.0059.3380.43240.23059.554

How often this matchup comes up

This page stands for 48 specific-card matchups (0.0030% of 1,624,350 ordered deals), or 96 once you count the seats both ways (0.0059%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average AJo takes back $120.54 of it, which is $20.54 more than it put in, and 64s takes back $79.46, $20.54 less than it put in.

In 1,000 deals of exactly this matchup, expect about 600 won outright by AJo, about 395 won outright by 64s and about 5 split.

The same matchup from the other side

64s against AJo adds nothing new: it is 39.73% for 64s and 60.27% for AJo, the same figures reversed.

AsJh against 6d4d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 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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