97s vs 64s: preflop equity

Averaged over every possible board, 97s is ahead of 64s by 28.08 points of equity, 64.04% to 35.96%.

97s

64.04%

Wins 62.61%, ties 2.86%

64s

35.96%

Wins 34.53%, ties 2.86%

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

97s against 64s: the numbers

Exact preflop results for 97s against 64s, in percent
HandWinsTiesLosesEquity
97s62.6092.86434.52764.041
64s34.5272.86462.60935.959

97s and 64s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

97s is ahead, but 64s is far from dead: it takes 345 of every 1,000 deals outright. A split pot comes up on 2.86% of boards, so the wins and the equity differ by half of that.

The hand ranking puts 97s at 94 and 64s at 138 out of 169 starting hands.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
97s17,153,000785,0009,459,000
64s9,459,000785,00017,153,000

Exact total: 16 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.

97s against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
97s1.7811.5972.8960.561
64s0.5612.8961.5971.781

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Split by what the flop looks like, 97s peaks at 66.30% on rainbow flops topped by a ten or better and bottoms out at 58.10% on low rainbow flops (nine high or lower). 97s stays ahead on all five textures.

97s against 64s by flop texture, in percent
FlopShare of flops97s winsTies64s wins97s equity
Rainbow, ten or higher25.84465.2122.18332.60566.304
Rainbow, nine or lower5.06557.8840.43541.68158.102
Two-tone46.72762.9331.69735.37063.782
Monotone5.27359.0444.40436.55261.246
Paired17.09160.2877.33132.38263.952

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

Relative to a random opponent, 97s changes by +14.92 points (baseline 49.12%) and 64s by -5.37 points (baseline 41.33%).

97s and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
97s, all flops64.04149.118+14.9231.30382
97s, rainbow, ten or higher66.30449.118+17.1861.34989
97s, rainbow, nine or lower58.10249.118+8.9841.18291
97s, two-tone63.78249.118+14.6641.29855
97s, monotone61.24649.118+12.1281.24692
97s, paired63.95249.118+14.8341.30201
64s, all flops35.95941.333-5.3740.86998
64s, rainbow, ten or higher33.69641.333-7.6370.81523
64s, rainbow, nine or lower41.89841.333+0.5651.01367
64s, two-tone36.21841.333-5.1150.87625
64s, monotone38.75441.333-2.5790.93760
64s, paired36.04841.333-5.2850.87214

Does a shared suit matter?

Does suit overlap move the numbers? 97s has 66.55% when the hands share a suit and 63.20% when they do not. 97s does better with a shared suit, by 3.35 points.

97s against 64s by suit overlap, in percent
DealsSpecific dealsShare of deals97s winsTies64s wins97s equity
Share a suit425.0065.0123.08431.90466.554
No shared suit1275.0061.8082.79135.40163.203

How often this matchup comes up

Counting specific cards, 97s against 64s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

Take a $200 pot built from $100 each. 97s' equity of 64.04% is worth $128.08, a $28.08 edge, and 64s' 35.96% is worth $71.92, which is $28.08 under its stake.

Run 1,000 deals and the tally comes out near 626 for 97s, 345 for 64s and 29 ties.

The same matchup from the other side

If you came looking for 64s against 97s, the numbers are the same with the hands swapped: 35.96% and 64.04%.

9s7s against 6h4h 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

Each figure is a complete count over boards. Take the 16 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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