TT vs A5s: preflop equity

In equity, TT against A5s stands at 66.96% to 33.04%, a gap of 33.92 points.

TT

66.96%

Wins 66.75%, ties 0.41%

A5s

33.04%

Wins 32.84%, ties 0.41%

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

TT against A5s: the numbers

Exact preflop results for TT against A5s, in percent
HandWinsTiesLosesEquity
TT66.7540.40932.83766.959
A5s32.8370.40966.75433.041

One side is a pocket pair, the other is 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.

That is a clear edge, 66.96% to 33.04%, but A5s still wins often enough that one hand proves nothing. About 0.41% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

TT ranks number 5 of 169 starting hands, and A5s ranks number 30, by equity against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT27,433,000168,00013,494,000
A5s13,494,000168,00027,433,000

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 A5s 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
A5s0.4933.0451.4982.027

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

If you know the kind of flop that came, the numbers shift: TT holds 72.96% on low rainbow flops (nine high or lower) and 62.80% on monotone flops. TT stays ahead on all five textures.

TT against A5s by flop texture, in percent
FlopShare of flopsTT winsTiesA5s 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
Monotone5.21261.6032.40235.99562.804
Paired17.33469.9720.22929.79970.086

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

Start from the random-hand figures, 75.01% for TT and 59.92% for A5s. This opponent changes them by -8.05 and -26.88 points.

TT and A5s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops66.95975.012-8.0530.89264
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, paired70.08675.012-4.9260.93433
A5s, all flops33.04159.923-26.8820.55139
A5s, rainbow, ten or higher32.87759.923-27.0460.54865
A5s, rainbow, nine or lower27.04559.923-32.8780.45133
A5s, two-tone34.73259.923-25.1910.57961
A5s, monotone37.19659.923-22.7270.62073
A5s, paired29.91459.923-30.0090.49921

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (TT at 67.25%) and 12 do not (66.67%). TT does better with a shared suit, by 0.58 points.

TT against A5s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTiesA5s winsTT equity
Share a suit1250.0067.0210.45332.52667.247
No shared suit1250.0066.4890.36433.14766.671

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are TT in one seat and A5s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average TT takes back $133.92 of it, which is $33.92 more than it put in, and A5s takes back $66.08, $33.92 less than it put in.

Per 1,000 deals: TT wins about 668, A5s wins about 328, and about 4 end in a split pot.

The same matchup from the other side

A5s against TT adds nothing new: it is 33.04% for A5s and 66.96% for TT, the same figures reversed.

Open the calculator with TsTh against Ad5d 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

We counted every case. Each suit pattern of the 24 specific TT against A5s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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