T8s vs 22: preflop equity

Counting every board, the equity split is 52.84% for T8s and 47.16% for 22, so T8s leads by 5.68 points.

T8s

52.84%

Wins 51.97%, ties 1.75%

22

47.16%

Wins 46.28%, ties 1.75%

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

T8s against 22: the numbers

Exact preflop results for T8s against 22, in percent
HandWinsTiesLosesEquity
T8s51.9681.74546.28752.841
2246.2871.74551.96847.159

Here a suited hand (T8s) meets a pocket pair (22). A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

That is a slim edge: neither hand is far ahead. The tie share is 1.75%: on those boards the pot is chopped and neither hand wins outright.

T8s ranks number 73 of 169 starting hands, and 22 ranks number 87, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s21,356,000717,00019,022,000
2219,022,000717,00021,356,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

T8s against 22 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.1201.9242.1600.892
220.8922.1601.9241.120

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

Break the boards down by their first three cards and T8s is strongest on two-tone flops (54.00%) and weakest on low rainbow flops (nine high or lower) (48.68%). On low rainbow flops (nine high or lower) the numbers flip and 22 is the one ahead.

T8s against 22 by flop texture, in percent
FlopShare of flopsT8s winsTies22 winsT8s equity
Rainbow, ten or higher25.22052.4460.98246.57252.937
Rainbow, nine or lower5.68948.3520.66250.98648.683
Two-tone46.54553.5540.88145.56553.995
Monotone5.21250.2274.16545.60852.309
Paired17.33448.7274.80246.47151.128

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

Relative to a random opponent, T8s changes by +0.51 points (baseline 52.33%) and 22 by -3.17 points (baseline 50.33%).

T8s and 22 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops52.84152.334+0.5071.00969
T8s, rainbow, ten or higher52.93752.334+0.6031.01152
T8s, rainbow, nine or lower48.68352.334-3.6510.93024
T8s, two-tone53.99552.334+1.6611.03174
T8s, monotone52.30952.334-0.0250.99952
T8s, paired51.12852.334-1.2060.97696
22, all flops47.15950.334-3.1750.93692
22, rainbow, ten or higher47.06350.334-3.2710.93501
22, rainbow, nine or lower51.31750.334+0.9831.01953
22, two-tone46.00550.334-4.3290.91399
22, monotone47.69150.334-2.6430.94749
22, paired48.87250.334-1.4620.97095

Does a shared suit matter?

Does suit overlap move the numbers? T8s has 52.69% when the hands share a suit and 52.99% when they do not. T8s does better with no shared suit, by 0.30 points.

T8s against 22 by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies22 winsT8s equity
Share a suit1250.0051.8051.76546.43052.687
No shared suit1250.0052.1321.72546.14352.994

How often this matchup comes up

How often does it happen? 24 of the 1,624,350 ordered deals (0.0015%) are T8s against 22, and 48 (0.0030%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: T8s averages $105.68 back, ahead of its $100 by $5.68, while 22 averages $94.32, short of its $100 by $5.68.

A thousand deals look like this: T8s takes 520, 22 takes 463, 17 are ties.

The same matchup from the other side

One page covers both views. From 22's side the equity is 47.16%, and from T8s' side it is 52.84%.

Try Ts8s against 2h2d 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

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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