88 vs T9s: preflop equity

The exact count puts 88 at 51.12% and T9s at 48.88% when the two hands see all five board cards.

88

51.12%

Wins 50.86%, ties 0.52%

T9s

48.88%

Wins 48.62%, ties 0.52%

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

88 against T9s: the numbers

Exact preflop results for 88 against T9s, in percent
HandWinsTiesLosesEquity
8850.8640.51548.62151.122
T9s48.6210.51550.86448.878

88 and T9s are a pocket pair and a suited hand, in that order. One hand holds a pair and the other holds two cards that both outrank it, which keeps the equity closer than most people expect.

88 leads by less than 3 points of equity, so the result of any one deal is close to a toss-up. Ties are 0.52% of the outcomes here; each tied board gives both hands half the pot.

The hand ranking puts 88 at 7 and T9s at 64 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
8820,903,000212,00019,981,000
T9s19,981,000212,00020,903,000

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 T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
881.0461.9662.0570.956
T9s0.9562.0571.9661.046

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

Low rainbow flops (nine high or lower) are the best for 88 (58.33%); two-tone flops are the worst (48.81%). Watch for rainbow flops topped by a ten or better and two-tone flops: on those flops T9s holds the better equity.

88 against T9s by flop texture, in percent
FlopShare of flops88 winsTiesT9s wins88 equity
Rainbow, ten or higher25.22049.0840.28950.62749.228
Rainbow, nine or lower5.68958.0380.58141.38158.329
Two-tone46.54548.6510.32351.02648.812
Monotone5.21248.8992.42648.67550.112
Paired17.33457.6380.75941.60358.017

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

Start from the random-hand figures, 69.16% for 88 and 54.03% for T9s. This opponent changes them by -18.04 and -5.15 points.

88 and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
88, all flops51.12269.163-18.0410.73915
88, rainbow, ten or higher49.22869.163-19.9350.71177
88, rainbow, nine or lower58.32969.163-10.8340.84336
88, two-tone48.81269.163-20.3510.70575
88, monotone50.11269.163-19.0510.72455
88, paired58.01769.163-11.1460.83884
T9s, all flops48.87854.028-5.1500.90468
T9s, rainbow, ten or higher50.77254.028-3.2560.93973
T9s, rainbow, nine or lower41.67154.028-12.3570.77129
T9s, two-tone51.18854.028-2.8400.94743
T9s, monotone49.88854.028-4.1400.92337
T9s, paired41.98354.028-12.0450.77706

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (88 at 51.22%) and 12 do not (51.03%). The two rows differ by only 0.19 points, so suits barely change this matchup.

88 against T9s by suit overlap, in percent
DealsSpecific dealsShare of deals88 winsTiesT9s wins88 equity
Share a suit1250.0050.9370.55548.50851.215
No shared suit1250.0050.7920.47548.73351.029

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are 88 in one seat and T9s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 88 gets $102.24 of it on average and T9s gets $97.76.

Over a long run, 1,000 deals split into about 509 for 88, 486 for T9s and 5 tied.

The same matchup from the other side

If you came looking for T9s against 88, the numbers are the same with the hands swapped: 48.88% and 51.12%.

Try 8s8h against Td9d in the calculator: the hands share no suit, and every card can be changed. The links after it are the closest matchups in the ranking.

How this was computed

We counted every case. Each suit pattern of the 24 specific 88 against T9s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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