88 vs 44: preflop equity

The exact count puts 88 at 81.14% and 44 at 18.86% when the two hands see all five board cards.

88

81.14%

Wins 80.64%, ties 1.00%

44

18.86%

Wins 18.36%, ties 1.00%

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

88 against 44: the numbers

Exact preflop results for 88 against 44, in percent
HandWinsTiesLosesEquity
8880.6440.99618.36081.142
4418.3600.99680.64418.858

88 meets 44, and both are pocket pairs. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.

A gap this wide means 44 is in trouble before the flop and has few good runouts. The tie share is 1.00%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, 88 is number 7 and 44 is number 48 by strength against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8849,711,000614,00011,318,000
4411,318,000614,00049,711,000

The board total is exact, 36 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 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
884.3031.2405.4470.232
440.2325.4471.2404.303

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

Across the five flop textures 88's equity moves by 13.57 points, from 72.23% on low rainbow flops (nine high or lower) to 85.80% on paired flops. 88 stays ahead on all five textures.

88 against 44 by flop texture, in percent
FlopShare of flops88 winsTies44 wins88 equity
Rainbow, ten or higher25.84482.1760.60117.22382.476
Rainbow, nine or lower5.06571.8510.75327.39672.228
Two-tone46.36379.9030.61119.48680.209
Monotone5.15274.5732.26623.16175.706
Paired17.57684.6582.28813.05485.802

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

Start from the random-hand figures, 69.16% for 88 and 57.02% for 44. This opponent changes them by +11.98 and -38.16 points.

88 and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops81.14269.163+11.9791.17320
88, rainbow, ten or higher82.47669.163+13.3131.19249
88, rainbow, nine or lower72.22869.163+3.0651.04432
88, two-tone80.20969.163+11.0461.15971
88, monotone75.70669.163+6.5431.09460
88, paired85.80269.163+16.6391.24058
44, all flops18.85857.023-38.1650.33071
44, rainbow, ten or higher17.52457.023-39.4990.30731
44, rainbow, nine or lower27.77257.023-29.2510.48703
44, two-tone19.79157.023-37.2320.34707
44, monotone24.29457.023-32.7290.42604
44, paired14.19857.023-42.8250.24899

Does a shared suit matter?

Of the deals of this matchup, 30 share a suit (88 at 81.28%) and 6 do not (80.47%). 88 does better with a shared suit, by 0.81 points.

88 against 44 by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTies44 wins88 equity
Share a suit3083.3380.7711.00918.22081.276
No shared suit616.6780.0080.92819.06480.472

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

With $100 from each side, the $200 pot is split on average as $162.28 for 88 and $37.72 for 44; the first side gains $62.28 per all-in and the second gives up $62.28.

Over a long run, 1,000 deals split into about 806 for 88, 184 for 44 and 10 tied.

The same matchup from the other side

Swap the hands and you get 44 with 18.86% against 88 with 81.14%. We keep one page per matchup, with the better-ranked hand first.

Open the calculator with 8s8h against 4d4c already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Each figure is a complete count over boards. Take the 36 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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