TT vs 75s: preflop equity

Averaged over every possible board, TT is ahead of 75s by 58.66 points of equity, 79.33% to 20.67%.

TT

79.33%

Wins 79.08%, ties 0.50%

75s

20.67%

Wins 20.42%, ties 0.50%

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

TT against 75s: the numbers

Exact preflop results for TT against 75s, in percent
HandWinsTiesLosesEquity
TT79.0770.49520.42879.325
75s20.4280.49579.07720.675

One side is a pocket pair, the other is a suited hand. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

That is a clear edge, 79.33% to 20.67%, but 75s still wins often enough that one hand proves nothing. About 0.50% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Place 5 of 169 belongs to TT and place 124 belongs to 75s in the ranking against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
TT32,497,000203,0008,395,000
75s8,395,000203,00032,497,000

Exact total: 24 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

TT against 75s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
TT3.8371.2654.8950.261
75s0.2614.8951.2653.837

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

The flop changes the picture. TT does best on rainbow flops topped by a ten or better, at 84.88%, and worst on low rainbow flops (nine high or lower), at 65.73%. TT stays ahead on all five textures, but the swing between them is large, so how the flop looks matters a great deal.

TT against 75s by flop texture, in percent
FlopShare of flopsTT winsTies75s winsTT equity
Rainbow, ten or higher24.59584.7410.28114.97884.882
Rainbow, nine or lower6.31465.4570.55133.99265.733
Two-tone46.54577.3310.31722.35277.490
Monotone5.21272.7982.42924.77374.013
Paired17.33482.5770.67416.74982.914

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

The table below sets each hand against its own random-hand baseline: a change of +4.32 points for TT, from 75.01%, and -23.01 for 75s, from 43.68%.

TT and 75s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
TT, all flops79.32575.012+4.3131.05750
TT, rainbow, ten or higher84.88275.012+9.8701.13158
TT, rainbow, nine or lower65.73375.012-9.2790.87630
TT, two-tone77.49075.012+2.4781.03303
TT, monotone74.01375.012-0.9990.98668
TT, paired82.91475.012+7.9021.10534
75s, all flops20.67543.676-23.0010.47337
75s, rainbow, ten or higher15.11843.676-28.5580.34614
75s, rainbow, nine or lower34.26743.676-9.4090.78457
75s, two-tone22.51043.676-21.1660.51539
75s, monotone25.98743.676-17.6890.59499
75s, paired17.08643.676-26.5900.39120

Does a shared suit matter?

Of the deals of this matchup, 12 share a suit (TT at 79.90%) and 12 do not (78.75%). TT does better with a shared suit, by 1.15 points.

TT against 75s by suit overlap, in percent
DealsSpecific dealsShare of dealsTT winsTies75s winsTT equity
Share a suit1250.0079.6330.53919.82879.902
No shared suit1250.0078.5220.45021.02878.747

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

A $100 all-in from each player makes a $200 pot, and the exact equity says TT gets $158.66 of it on average and 75s gets $41.34.

Per 1,000 deals: TT wins about 791, 75s wins about 204, and about 5 end in a split pot.

The same matchup from the other side

Read it from the other side: 75s against TT is the same matchup with the numbers swapped, so 75s holds 20.67% and TT holds 79.33%. That address sends you back to this page.

Try TsTh against 7d5d 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

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 24 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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