AJo vs T9s: preflop equity

Counting every board, the equity split is 59.92% for AJo and 40.08% for T9s, so AJo leads by 19.84 points.

AJo

59.92%

Wins 59.71%, ties 0.44%

T9s

40.08%

Wins 39.85%, ties 0.44%

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

AJo against T9s: the numbers

Exact preflop results for AJo against T9s, in percent
HandWinsTiesLosesEquity
AJo59.7050.43639.85959.923
T9s39.8590.43659.70540.077

We compare an offsuit hand with a suited hand. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Of every 100 boards, about 0.44 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, AJo is number 15 and T9s is number 64.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
AJo49,072,000358,00032,760,000
T9s32,760,000358,00049,072,000

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 T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
AJo1.4951.6752.5090.669
T9s0.6692.5091.6751.495

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

AJo prefers rainbow flops topped by a ten or better, where it holds 63.69%, and likes low rainbow flops (nine high or lower) least, where it holds 51.89%. AJo stays ahead on all five textures.

AJo against T9s by flop texture, in percent
FlopShare of flopsAJo winsTiesT9s winsAJo equity
Rainbow, ten or higher23.98863.6170.15136.23263.693
Rainbow, nine or lower7.04251.5320.71147.75751.888
Two-tone46.66758.1460.25641.59858.274
Monotone5.21256.9992.36240.63958.180
Paired17.09162.6650.62436.71162.977

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Start from the random-hand figures, 63.56% for AJo and 54.03% for T9s. This opponent changes them by -3.64 and -13.95 points.

AJo and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
AJo, all flops59.92363.563-3.6400.94273
AJo, rainbow, ten or higher63.69363.563+0.1301.00205
AJo, rainbow, nine or lower51.88863.563-11.6750.81632
AJo, two-tone58.27463.563-5.2890.91679
AJo, monotone58.18063.563-5.3830.91531
AJo, paired62.97763.563-0.5860.99078
T9s, all flops40.07754.028-13.9510.74178
T9s, rainbow, ten or higher36.30754.028-17.7210.67200
T9s, rainbow, nine or lower48.11254.028-5.9160.89050
T9s, two-tone41.72654.028-12.3020.77230
T9s, monotone41.82054.028-12.2080.77404
T9s, paired37.02354.028-17.0050.68526

Does a shared suit matter?

Does suit overlap move the numbers? AJo has 60.58% when the hands share a suit and 59.27% when they do not. AJo does better with a shared suit, by 1.31 points.

AJo against T9s by suit overlap, in percent
DealsSpecific dealsShare of dealsAJo winsTiesT9s winsAJo equity
Share a suit2450.0060.3400.47639.18460.578
No shared suit2450.0059.0700.39540.53559.268

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are AJo against T9s, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, AJo's average share is $119.84 (a gain of $19.84) and T9s' is $80.16 (a loss of $19.84).

Out of 1,000 deals you should see around 597 outright wins for AJo, 399 for T9s, and 4 split pots.

The same matchup from the other side

Swap the hands and you get T9s with 40.08% against AJo with 59.92%. We keep one page per matchup, with the better-ranked hand first.

Try AsJh 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

Each figure is a complete count over boards. Take the 48 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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