88 vs 54s: preflop equity

The exact count puts 88 at 78.71% and 54s at 21.29% when the two hands see all five board cards.

88

78.71%

Wins 78.23%, ties 0.96%

54s

21.29%

Wins 20.81%, ties 0.96%

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

88 against 54s: the numbers

Exact preflop results for 88 against 54s, in percent
HandWinsTiesLosesEquity
8878.2280.96420.80878.710
54s20.8080.96478.22821.290

One side is a pocket pair, the other is a suited hand. A pair against two lower cards is a lopsided matchup: the pair is ahead and the other hand has no overcard to catch.

That is a clear edge, 78.71% to 21.29%, but 54s still wins often enough that one hand proves nothing. Ties are part of the picture: 0.96% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts 88 at 7 and 54s at 136 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8832,148,000396,0008,551,000
54s8,551,000396,00032,148,000

24 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.

88 against 54s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
883.6971.2784.8060.270
54s0.2704.8061.2783.697

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

Rainbow flops topped by a ten or better are the best for 88 (82.82%); low rainbow flops (nine high or lower) are the worst (67.71%). 88 stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

88 against 54s by flop texture, in percent
FlopShare of flops88 winsTies54s wins88 equity
Rainbow, ten or higher25.84482.5250.58216.89382.816
Rainbow, nine or lower5.06567.3510.71831.93167.710
Two-tone46.54576.6190.56822.81376.903
Monotone5.21272.1982.67625.12673.536
Paired17.33481.1322.15316.71582.208

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

How much does the opponent matter? Compared with its random-hand 69.16%, 88 changes by +9.55 points, and 54s, from 41.45%, by -20.16.

88 and 54s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops78.71069.163+9.5471.13804
88, rainbow, ten or higher82.81669.163+13.6531.19740
88, rainbow, nine or lower67.71069.163-1.4530.97899
88, two-tone76.90369.163+7.7401.11191
88, monotone73.53669.163+4.3731.06323
88, paired82.20869.163+13.0451.18861
54s, all flops21.29041.453-20.1630.51359
54s, rainbow, ten or higher17.18441.453-24.2690.41454
54s, rainbow, nine or lower32.29041.453-9.1630.77895
54s, two-tone23.09741.453-18.3560.55719
54s, monotone26.46441.453-14.9890.63841
54s, paired17.79241.453-23.6610.42921

Does a shared suit matter?

The suit split reads 79.27% for 88 with a shared suit and 78.15% without one. 88 does better with a shared suit, by 1.12 points.

88 against 54s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTies54s wins88 equity
Share a suit1250.0078.7631.00620.23179.266
No shared suit1250.0077.6920.92221.38678.153

How often this matchup comes up

You will meet this exact matchup 0.0030% of the time in a random heads-up deal: 48 of 1,624,350, counting either seat order.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. 88 averages $157.42 from the $200, up $57.42; 54s averages $42.58, down $57.42.

Run 1,000 deals and the tally comes out near 782 for 88, 208 for 54s and 10 ties.

The same matchup from the other side

The mirror image, 54s against 88, is 21.29% to 78.71%, and its address redirects to this page.

The calculator link fills in 8s8h against 5d4d, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 24 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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