A2s vs T8s: preflop equity

Dealt all in against each other, A2s takes 55.44% of the pot on average and T8s takes the other 44.56%.

A2s

55.44%

Wins 55.19%, ties 0.51%

T8s

44.56%

Wins 44.30%, ties 0.51%

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

A2s against T8s: the numbers

Exact preflop results for A2s against T8s, in percent
HandWinsTiesLosesEquity
A2s55.1850.50844.30755.439
T8s44.3070.50855.18544.561

This is a contest between two suited hands, A2s and T8s. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A2s is ahead, but T8s is far from dead: it takes 443 of every 1,000 deals outright. Split pots make up 0.51% of the boards, and both equity figures count them as half a win each.

Among the 169 starting hands, A2s is number 46 and T8s is number 73 by strength against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
A2s15,119,000139,00012,139,000
T8s12,139,000139,00015,119,000

16 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.

A2s against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
A2s1.2441.8122.2570.804
T8s0.8042.2571.8121.244

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 A2s is strongest on paired flops (61.27%) and weakest on low rainbow flops (nine high or lower) (50.08%). A2s stays ahead on all five textures.

A2s against T8s by flop texture, in percent
FlopShare of flopsA2s winsTiesT8s winsA2s equity
Rainbow, ten or higher24.54355.4540.19344.35355.551
Rainbow, nine or lower6.36649.7520.66349.58550.083
Two-tone46.72754.0790.26545.65654.212
Monotone5.27351.6523.42944.91953.366
Paired17.09160.9330.66538.40261.266

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

The table below sets each hand against its own random-hand baseline: a change of -1.94 points for A2s, from 57.38%, and -7.77 for T8s, from 52.33%.

A2s and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
A2s, all flops55.43957.379-1.9400.96619
A2s, rainbow, ten or higher55.55157.379-1.8280.96814
A2s, rainbow, nine or lower50.08357.379-7.2960.87285
A2s, two-tone54.21257.379-3.1670.94481
A2s, monotone53.36657.379-4.0130.93006
A2s, paired61.26657.379+3.8871.06774
T8s, all flops44.56152.334-7.7730.85147
T8s, rainbow, ten or higher44.44952.334-7.8850.84933
T8s, rainbow, nine or lower49.91752.334-2.4170.95382
T8s, two-tone45.78852.334-6.5460.87492
T8s, monotone46.63452.334-5.7000.89108
T8s, paired38.73452.334-13.6000.74013

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common A2s has 57.11% equity, and with none in common it has 54.88%. A2s does better with a shared suit, by 2.23 points.

A2s against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsA2s winsTiesT8s winsA2s equity
Share a suit425.0056.8180.58942.59357.113
No shared suit1275.0054.6400.48144.87954.881

How often this matchup comes up

Exactly 16 specific deals fit this matchup in one seat order, which is 0.0010% of 1,624,350; both orders together give 32, or 0.0020%.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. A2s is worth $110.88 on average (+$10.88); T8s is worth $89.12 (-$10.88).

Over a long run, 1,000 deals split into about 552 for A2s, 443 for T8s and 5 tied.

The same matchup from the other side

One page covers both views. From T8s' side the equity is 44.56%, and from A2s' side it is 55.44%.

Open the calculator with As2s against Th8h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 16 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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