AJo vs T8s: preflop equity

Before any board card is dealt, AJo holds 60.77% equity against T8s, which leaves T8s with 39.23%.

AJo

60.77%

Wins 60.56%, ties 0.43%

T8s

39.23%

Wins 39.01%, ties 0.43%

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

AJo against T8s: the numbers

Exact preflop results for AJo against T8s, in percent
HandWinsTiesLosesEquity
AJo60.5550.42539.02060.768
T8s39.0200.42560.55539.232

The matchup pits an offsuit hand against a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. The tie share is 0.43%: on those boards the pot is chopped and neither hand wins outright.

Among the 169 starting hands, AJo is number 15 and T8s is number 73 by strength against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJo49,771,000349,00032,071,000
T8s32,071,000349,00049,771,000

48 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.

AJo against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJo1.5491.6512.5630.646
T8s0.6462.5631.6511.549

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 AJo is strongest on rainbow flops topped by a ten or better (65.25%) and weakest on low rainbow flops (nine high or lower) (50.80%). AJo stays ahead on all five textures.

AJo against T8s by flop texture, in percent
FlopShare of flopsAJo winsTiesT8s winsAJo equity
Rainbow, ten or higher23.98865.1790.15134.67065.254
Rainbow, nine or lower7.04250.4810.64148.87850.801
Two-tone46.66759.0370.24440.71959.159
Monotone5.21257.6802.35639.96458.858
Paired17.09163.2380.62836.13463.552

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

How much does the opponent matter? Compared with its random-hand 63.56%, AJo changes by -2.79 points, and T8s, from 52.33%, by -13.10.

AJo and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJo, all flops60.76863.563-2.7950.95603
AJo, rainbow, ten or higher65.25463.563+1.6911.02660
AJo, rainbow, nine or lower50.80163.563-12.7620.79922
AJo, two-tone59.15963.563-4.4040.93071
AJo, monotone58.85863.563-4.7050.92598
AJo, paired63.55263.563-0.0110.99983
T8s, all flops39.23252.334-13.1020.74965
T8s, rainbow, ten or higher34.74652.334-17.5880.66393
T8s, rainbow, nine or lower49.19952.334-3.1350.94010
T8s, two-tone40.84152.334-11.4930.78039
T8s, monotone41.14252.334-11.1920.78614
T8s, paired36.44852.334-15.8860.69645

Does a shared suit matter?

Two kinds of deal exist here. In 24 of them the hands share a suit and AJo holds 61.45%. In 24 they do not, and it holds 60.09%. AJo does better with a shared suit, by 1.36 points.

AJo against T8s by suit overlap, in percent
DealsSpecific dealsShare of dealsAJo winsTiesT8s winsAJo equity
Share a suit2450.0061.2160.46638.31861.449
No shared suit2450.0059.8940.38539.72160.087

How often this matchup comes up

AJo against T8s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AJo's average share is $121.54 (a gain of $21.54) and T8s' is $78.46 (a loss of $21.54).

Run 1,000 deals and the tally comes out near 606 for AJo, 390 for T8s and 4 ties.

The same matchup from the other side

One page covers both views. From T8s' side the equity is 39.23%, and from AJo's side it is 60.77%.

Open the calculator with AsJh against Td8d 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

This is an exact count with no sampling. For the 48 ways to deal one AJo and one T8s without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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