97s vs 43s: preflop equity

The exact count puts 97s at 63.53% and 43s at 36.47% when the two hands see all five board cards.

97s

63.53%

Wins 62.08%, ties 2.90%

43s

36.47%

Wins 35.02%, ties 2.90%

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

97s against 43s: the numbers

Exact preflop results for 97s against 43s, in percent
HandWinsTiesLosesEquity
97s62.0802.90135.01963.531
43s35.0192.90162.08036.469

This is a contest between two suited hands, 97s and 43s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

A 27.06 point lead is real, and 43s still takes about 350 of every 1,000 deals outright. The tie share is 2.90%: on those boards the pot is chopped and neither hand wins outright.

By strength against a random hand, 97s holds place 94 of 169 and 43s holds place 150.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
97s17,008,000795,0009,594,000
43s9,594,000795,00017,008,000

16 specific deals times 1,712,304 boards gives the exact total. The won, tied and lost counts are approximations from the five-decimal percentages, rounded to the nearest thousand.

97s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
97s1.7421.6112.8560.574
43s0.5742.8561.6111.742

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

Split by what the flop looks like, 97s peaks at 64.85% on rainbow flops topped by a ten or better and bottoms out at 60.97% on monotone flops. 97s stays ahead on all five textures.

97s against 43s by flop texture, in percent
FlopShare of flops97s winsTies43s wins97s equity
Rainbow, ten or higher25.84463.7472.20734.04664.850
Rainbow, nine or lower5.06561.7410.59937.66062.040
Two-tone46.72762.4161.73935.84563.286
Monotone5.27358.6734.58536.74260.965
Paired17.09159.7937.29132.91663.439

Read the flop types this way: rainbow has three suits, two-tone has two cards of one suit, monotone has three, and paired repeats a rank.

Compared with a random hand

Each hand has a baseline against a random hand: 49.12% for 97s, 38.64% for 43s. Here the change is +14.41 and -2.17 points.

97s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
97s, all flops63.53149.118+14.4131.29344
97s, rainbow, ten or higher64.85049.118+15.7321.32029
97s, rainbow, nine or lower62.04049.118+12.9221.26308
97s, two-tone63.28649.118+14.1681.28845
97s, monotone60.96549.118+11.8471.24119
97s, paired63.43949.118+14.3211.29156
43s, all flops36.46938.642-2.1730.94377
43s, rainbow, ten or higher35.15038.642-3.4920.90963
43s, rainbow, nine or lower37.96038.642-0.6820.98235
43s, two-tone36.71438.642-1.9280.95011
43s, monotone39.03538.642+0.3931.01017
43s, paired36.56138.642-2.0810.94615

Does a shared suit matter?

When the hands share a suit, 97s holds 65.96%; when they do not, it holds 62.72%. 97s does better with a shared suit, by 3.24 points.

97s against 43s by suit overlap, in percent
DealsSpecific dealsShare of deals97s winsTies43s wins97s equity
Share a suit425.0064.4003.11932.48165.960
No shared suit1275.0061.3072.82835.86562.721

How often this matchup comes up

Counting specific cards, 97s against 43s 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

With $100 from each side, the $200 pot is split on average as $127.06 for 97s and $72.94 for 43s; the first side gains $27.06 per all-in and the second gives up $27.06.

Per 1,000 deals: 97s wins about 621, 43s wins about 350, and about 29 end in a split pot.

The same matchup from the other side

The mirror image, 43s against 97s, is 36.47% to 63.53%, and its address redirects to this page.

9s7s against 4h3h 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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