97s vs 87s: preflop equity

Averaged over every possible board, 97s is ahead of 87s by 35.10 points of equity, 67.55% to 32.45%.

97s

67.55%

Wins 63.04%, ties 9.02%

87s

32.45%

Wins 27.94%, ties 9.02%

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

97s against 87s: the numbers

Exact preflop results for 97s against 87s, in percent
HandWinsTiesLosesEquity
97s63.0409.02327.93767.552
87s27.9379.02363.04032.448

Both hands are suited hands: 97s and 87s. Because the hands share one rank, the one with the higher kicker is ahead when that rank pairs and the other hand is mostly drawing.

97s is the clear favorite, though 87s gets there on roughly one board in 3. Ties are part of the picture: 9.02% of boards end in a split pot, and each side counts that as half a win.

For context, 97s sits at number 94 of 169 starting hands and 87s at number 100 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
97s12,953,0001,854,0005,740,000
87s5,740,0001,854,00012,953,000

12 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 87s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
97s2.0821.5863.5790.480
87s0.4803.5791.5862.082

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

By flop texture, 97s' equity runs from 61.60% on monotone flops up to 70.55% on rainbow flops topped by a ten or better. 97s stays ahead on all five textures.

97s against 87s by flop texture, in percent
FlopShare of flops97s winsTies87s wins97s equity
Rainbow, ten or higher25.84466.1808.73225.08870.546
Rainbow, nine or lower5.06561.8803.98334.13763.872
Two-tone46.54363.1697.29229.53966.815
Monotone5.21557.2158.76034.02561.595
Paired17.33360.10515.65824.23767.934

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

Compared with a random opponent, this matchup shifts 97s from 49.12% by +18.43 points and 87s from 47.94% by -15.49 points.

97s and 87s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
97s, all flops67.55249.118+18.4341.37530
97s, rainbow, ten or higher70.54649.118+21.4281.43626
97s, rainbow, nine or lower63.87249.118+14.7541.30038
97s, two-tone66.81549.118+17.6971.36030
97s, monotone61.59549.118+12.4771.25402
97s, paired67.93449.118+18.8161.38308
87s, all flops32.44847.936-15.4880.67690
87s, rainbow, ten or higher29.45447.936-18.4820.61444
87s, rainbow, nine or lower36.12847.936-11.8080.75367
87s, two-tone33.18547.936-14.7510.69228
87s, monotone38.40547.936-9.5310.80117
87s, paired32.06647.936-15.8700.66893

Does a shared suit matter?

A shared suit is impossible for this matchup, so 97s' 67.55% is the answer for every suit pattern.

97s against 87s by suit overlap, in percent
DealsSpecific dealsShare of deals97s winsTies87s wins97s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0063.0409.02327.93767.552

How often this matchup comes up

Exactly 12 specific deals fit this matchup in one seat order, which is 0.0007% of 1,624,350; both orders together give 24, or 0.0015%.

A worked example

Take a $200 pot built from $100 each. 97s' equity of 67.55% is worth $135.10, a $35.10 edge, and 87s' 32.45% is worth $64.90, which is $35.10 under its stake.

Out of 1,000 deals you should see around 631 outright wins for 97s, 279 for 87s, and 90 split pots.

The same matchup from the other side

Swap the hands and you get 87s with 32.45% against 97s with 67.55%. We keep one page per matchup, with the better-ranked hand first.

9s7s against 8h7h 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 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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