T9o vs 75s: preflop equity

In equity, T9o against 75s stands at 62.18% to 37.82%, a gap of 24.36 points.

T9o

62.18%

Wins 61.30%, ties 1.75%

75s

37.82%

Wins 36.95%, ties 1.75%

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

T9o against 75s: the numbers

Exact preflop results for T9o against 75s, in percent
HandWinsTiesLosesEquity
T9o61.3021.75436.94462.179
75s36.9441.75461.30237.821

Here an offsuit hand (T9o) meets a suited hand (75s). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. Ties are part of the picture: 1.75% of boards end in a split pot, and each side counts that as half a win.

The hand ranking puts T9o at 78 and 75s at 124 out of 169 starting hands.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T9o50,384,0001,442,00030,364,000
75s30,364,0001,442,00050,384,000

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.

T9o against 75s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T9o1.6441.6312.7070.608
75s0.6082.7071.6311.644

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 T9o's equity moves by 19.07 points, from 48.40% on low rainbow flops (nine high or lower) to 67.47% on rainbow flops topped by a ten or better. 75s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

T9o against 75s by flop texture, in percent
FlopShare of flopsT9o winsTies75s winsT9o equity
Rainbow, ten or higher25.34166.8811.17031.94967.466
Rainbow, nine or lower5.68948.1950.40851.39748.399
Two-tone46.66760.5410.96838.49161.025
Monotone5.21258.8342.92138.24560.294
Paired17.09160.2234.85934.91862.653

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

Compared with a random opponent, this matchup shifts T9o from 51.53% by +10.65 points and 75s from 43.68% by -5.86 points.

T9o and 75s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T9o, all flops62.17951.532+10.6471.20661
T9o, rainbow, ten or higher67.46651.532+15.9341.30921
T9o, rainbow, nine or lower48.39951.532-3.1330.93920
T9o, two-tone61.02551.532+9.4931.18422
T9o, monotone60.29451.532+8.7621.17003
T9o, paired62.65351.532+11.1211.21581
75s, all flops37.82143.676-5.8550.86594
75s, rainbow, ten or higher32.53443.676-11.1420.74489
75s, rainbow, nine or lower51.60143.676+7.9251.18145
75s, two-tone38.97543.676-4.7010.89237
75s, monotone39.70643.676-3.9700.90910
75s, paired37.34743.676-6.3290.85509

Does a shared suit matter?

The suit split reads 62.89% for T9o with a shared suit and 61.46% without one. T9o does better with a shared suit, by 1.43 points.

T9o against 75s by suit overlap, in percent
DealsSpecific dealsShare of dealsT9o winsTies75s winsT9o equity
Share a suit2450.0061.9951.79936.20662.894
No shared suit2450.0060.6091.70937.68261.464

How often this matchup comes up

T9o against 75s is made up of 48 specific-card matchups in one seat order, 0.0030% of the 1,624,350 ordered deals, and 96 counting both seat orders, 0.0059%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average T9o takes back $124.36 of it, which is $24.36 more than it put in, and 75s takes back $75.64, $24.36 less than it put in.

A thousand deals look like this: T9o takes 613, 75s takes 369, 18 are ties.

The same matchup from the other side

Swap the hands and you get 75s with 37.82% against T9o with 62.18%. We keep one page per matchup, with the better-ranked hand first.

Try Ts9h 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 page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 48 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.

Bring your own hands to a session

Review the spots you actually play against these numbers in a Game Assessment, and leave with a one-page written plan.

Book a session