TT vs A4s: preflop equity

If TT and A4s get all the chips in before the flop, TT owns 66.96% of the pot in the long run and A4s owns 33.04%.

TT

66.96%

Wins 66.76%, ties 0.41%

A4s

33.04%

Wins 32.83%, ties 0.41%

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

TT against A4s: the numbers

Exact preflop results for TT against A4s, in percent
HandWinsTiesLosesEquity
TT66.7550.40932.83666.960
A4s32.8360.40966.75533.040

TT is a pocket pair and A4s is a suited hand. The pair is ahead of one card and behind the other, so the board decides how that plays out.

A lead of 33.92 points is large but not decisive: A4s still takes about 328 of every 1,000 deals. 0.41% of boards are ties, so the equity of each hand is its win rate plus half of that.

By strength against a random hand, TT holds place 5 of 169 and A4s holds place 35.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT27,433,000168,00013,494,000
A4s13,494,000168,00027,433,000

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.

TT against A4s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT2.0271.4983.0450.493
A4s0.4933.0451.4982.027

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

Low rainbow flops (nine high or lower) are the best for TT (72.96%); monotone flops are the worst (62.80%). TT stays ahead on all five textures.

TT against A4s by flop texture, in percent
FlopShare of flopsTT winsTiesA4s winsTT equity
Rainbow, ten or higher23.86767.0350.17632.78967.123
Rainbow, nine or lower7.04272.5320.84626.62272.955
Two-tone46.54565.1150.30634.57965.268
Monotone5.21261.6032.40335.99462.804
Paired17.33469.9760.22929.79570.090

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

Compared with a random opponent, this matchup shifts TT from 75.01% by -8.05 points and A4s from 59.03% by -25.99 points.

TT and A4s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops66.96075.012-8.0520.89266
TT, rainbow, ten or higher67.12375.012-7.8890.89483
TT, rainbow, nine or lower72.95575.012-2.0570.97258
TT, two-tone65.26875.012-9.7440.87010
TT, monotone62.80475.012-12.2080.83725
TT, paired70.09075.012-4.9220.93438
A4s, all flops33.04059.034-25.9940.55968
A4s, rainbow, ten or higher32.87759.034-26.1570.55692
A4s, rainbow, nine or lower27.04559.034-31.9890.45813
A4s, two-tone34.73259.034-24.3020.58834
A4s, monotone37.19659.034-21.8380.63008
A4s, paired29.91059.034-29.1240.50666

Does a shared suit matter?

Split by suits, the deals give TT 67.25% when the hands overlap in a suit and 66.67% when they do not. TT does better with a shared suit, by 0.58 points.

TT against A4s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesA4s winsTT equity
Share a suit1250.0067.0210.45332.52667.248
No shared suit1250.0066.4890.36433.14766.671

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. TT is worth $133.92 on average (+$33.92); A4s is worth $66.08 (-$33.92).

Per 1,000 deals: TT wins about 668, A4s wins about 328, and about 4 end in a split pot.

The same matchup from the other side

One page covers both views. From A4s' side the equity is 33.04%, and from TT's side it is 66.96%.

Open the calculator with TsTh against Ad4d 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 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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