88 vs 75s: preflop equity

If 88 and 75s get all the chips in before the flop, 88 owns 81.56% of the pot in the long run and 75s owns 18.44%.

88

81.56%

Wins 81.10%, ties 0.92%

75s

18.44%

Wins 17.98%, ties 0.92%

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

88 against 75s: the numbers

Exact preflop results for 88 against 75s, in percent
HandWinsTiesLosesEquity
8881.1030.92317.97481.564
75s17.9740.92381.10318.436

Here a pocket pair (88) meets a suited hand (75s). The pair outranks both of the other hand's cards, which is why the pair is a strong favorite.

That is a heavy lead: 75s needs the board to help it on most runouts and still falls behind far more often than not. Split pots make up 0.92% of the boards, and both equity figures count them as half a win each.

For context, 88 sits at number 7 of 169 starting hands and 75s at number 124 when each is run against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8833,330,000379,0007,386,000
75s7,386,000379,00033,330,000

The board total is exact, 24 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

88 against 75s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
884.4241.2335.5640.226
75s0.2265.5641.2334.424

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

Break the boards down by their first three cards and 88 is strongest on rainbow flops topped by a ten or better (85.82%) and weakest on low rainbow flops (nine high or lower) (72.21%). 88 stays ahead on all five textures.

88 against 75s by flop texture, in percent
FlopShare of flops88 winsTies75s wins88 equity
Rainbow, ten or higher25.84485.5310.57713.89285.819
Rainbow, nine or lower5.06571.9880.44827.56472.212
Two-tone46.54579.6230.52219.85579.884
Monotone5.21274.3362.58923.07575.630
Paired17.33483.1732.15414.67384.250

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Relative to a random opponent, 88 changes by +12.40 points (baseline 69.16%) and 75s by -25.24 points (baseline 43.68%).

88 and 75s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops81.56469.163+12.4011.17930
88, rainbow, ten or higher85.81969.163+16.6561.24082
88, rainbow, nine or lower72.21269.163+3.0491.04408
88, two-tone79.88469.163+10.7211.15501
88, monotone75.63069.163+6.4671.09350
88, paired84.25069.163+15.0871.21814
75s, all flops18.43643.676-25.2400.42211
75s, rainbow, ten or higher14.18143.676-29.4950.32469
75s, rainbow, nine or lower27.78843.676-15.8880.63623
75s, two-tone20.11643.676-23.5600.46057
75s, monotone24.37043.676-19.3060.55797
75s, paired15.75043.676-27.9260.36061

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common 88 has 82.14% equity, and with none in common it has 80.99%. 88 does better with a shared suit, by 1.15 points.

88 against 75s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTies75s wins88 equity
Share a suit1250.0081.6550.96517.38082.138
No shared suit1250.0080.5500.88118.56980.991

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

Take a $200 pot built from $100 each. 88's equity of 81.56% is worth $163.12, a $63.12 edge, and 75s' 18.44% is worth $36.88, which is $63.12 under its stake.

Think in thousands: about 811 of 1,000 go to 88, about 180 go to 75s, and about 9 are chopped.

The same matchup from the other side

The reversed view, 75s against 88, shows 18.44% for 75s and 81.56% for 88. It is the same count, so it redirects here.

The calculator link fills in 8s8h against 7d5d, 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 figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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