TT vs A3s: preflop equity

Before any board card is dealt, TT holds 67.32% equity against A3s, which leaves A3s with 32.68%.

TT

67.32%

Wins 67.11%, ties 0.42%

A3s

32.68%

Wins 32.47%, ties 0.42%

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

TT against A3s: the numbers

Exact preflop results for TT against A3s, in percent
HandWinsTiesLosesEquity
TT67.1130.42032.46767.323
A3s32.4670.42067.11332.677

We compare a pocket pair with a suited hand. The pair sits between the other hand's two cards: one is higher and one is lower, so the pair is exposed to the higher card.

A lead of 34.64 points is large but not decisive: A3s still takes about 325 of every 1,000 deals. The tie share is 0.42%: on those boards the pot is chopped and neither hand wins outright.

Ranked by equity against a random hand, TT is number 5 of the 169 starting hands and A3s is number 38.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT27,580,000173,00013,342,000
A3s13,342,000173,00027,580,000

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.

TT against A3s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT2.0601.4903.0800.485
A3s0.4853.0801.4902.060

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

Across the five flop textures TT's equity moves by 11.19 points, from 63.08% on monotone flops to 74.27% on low rainbow flops (nine high or lower). TT stays ahead on all five textures.

TT against A3s by flop texture, in percent
FlopShare of flopsTT winsTiesA3s winsTT equity
Rainbow, ten or higher23.86767.2230.17632.60167.311
Rainbow, nine or lower7.04273.8160.91725.26774.274
Two-tone46.54565.5100.31834.17265.669
Monotone5.21261.8722.40935.71963.076
Paired17.33470.1200.22929.65170.235

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

The table below sets each hand against its own random-hand baseline: a change of -7.69 points for TT, from 75.01%, and -25.54 for A3s, from 58.22%.

TT and A3s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops67.32375.012-7.6890.89750
TT, rainbow, ten or higher67.31175.012-7.7010.89734
TT, rainbow, nine or lower74.27475.012-0.7380.99016
TT, two-tone65.66975.012-9.3430.87545
TT, monotone63.07675.012-11.9360.84088
TT, paired70.23575.012-4.7770.93632
A3s, all flops32.67758.220-25.5430.56127
A3s, rainbow, ten or higher32.68958.220-25.5310.56147
A3s, rainbow, nine or lower25.72658.220-32.4940.44188
A3s, two-tone34.33158.220-23.8890.58968
A3s, monotone36.92458.220-21.2960.63422
A3s, paired29.76558.220-28.4550.51125

Does a shared suit matter?

The suit split reads 67.62% for TT with a shared suit and 67.03% without one. TT does better with a shared suit, by 0.59 points.

TT against A3s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesA3s winsTT equity
Share a suit1250.0067.3830.46432.15367.615
No shared suit1250.0066.8430.37532.78267.031

How often this matchup comes up

This page stands for 24 specific-card matchups (0.0015% of 1,624,350 ordered deals), or 48 once you count the seats both ways (0.0030%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. TT is worth $134.64 on average (+$34.64); A3s is worth $65.36 (-$34.64).

Per 1,000 deals: TT wins about 671, A3s wins about 325, and about 4 end in a split pot.

The same matchup from the other side

One page covers both views. From A3s' side the equity is 32.68%, and from TT's side it is 67.32%.

Try TsTh against Ad3d 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

All 1,712,304 five-card boards are dealt for every suit pattern among the 24 specific deals of TT against A3s, and both hands are scored on each. That is a full count, so the percentages are exact. Ties are half a win each, and each board appears once per flop it contains.

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

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