T8s vs 65s: preflop equity

Dealt all in against each other, T8s takes 62.88% of the pot on average and 65s takes the other 37.12%.

T8s

62.88%

Wins 61.96%, ties 1.84%

65s

37.12%

Wins 36.20%, ties 1.84%

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

T8s against 65s: the numbers

Exact preflop results for T8s against 65s, in percent
HandWinsTiesLosesEquity
T8s61.9601.84336.19762.882
65s36.1971.84361.96037.118

Each side holds one of the suited hands: T8s and 65s. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

T8s is ahead, but 65s is far from dead: it takes 362 of every 1,000 deals outright. Ties are part of the picture: 1.84% of boards end in a split pot, and each side counts that as half a win.

Place 73 of 169 belongs to T8s and place 128 belongs to 65s in the ranking against a random hand.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T8s16,975,000505,0009,917,000
65s9,917,000505,00016,975,000

The board total is exact, 16 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

T8s against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T8s1.6941.6142.7630.590
65s0.5902.7631.6141.694

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

Break the boards down by their first three cards and T8s is strongest on rainbow flops topped by a ten or better (67.13%) and weakest on low rainbow flops (nine high or lower) (47.34%). The overall edge for T8s hides low rainbow flops (nine high or lower), where 65s comes out in front.

T8s against 65s by flop texture, in percent
FlopShare of flopsT8s winsTies65s winsT8s equity
Rainbow, ten or higher25.22066.5091.23432.25767.126
Rainbow, nine or lower5.68947.1220.44252.43647.343
Two-tone46.72761.9850.98937.02662.480
Monotone5.27358.2813.93337.78660.248
Paired17.09161.2544.89833.84863.703

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

Relative to a random opponent, T8s changes by +10.55 points (baseline 52.33%) and 65s by -6.01 points (baseline 43.13%).

T8s and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T8s, all flops62.88252.334+10.5481.20155
T8s, rainbow, ten or higher67.12652.334+14.7921.28265
T8s, rainbow, nine or lower47.34352.334-4.9910.90463
T8s, two-tone62.48052.334+10.1461.19387
T8s, monotone60.24852.334+7.9141.15122
T8s, paired63.70352.334+11.3691.21724
65s, all flops37.11843.133-6.0150.86055
65s, rainbow, ten or higher32.87443.133-10.2590.76215
65s, rainbow, nine or lower52.65743.133+9.5241.22081
65s, two-tone37.52043.133-5.6130.86987
65s, monotone39.75243.133-3.3810.92161
65s, paired36.29743.133-6.8360.84151

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common T8s has 65.24% equity, and with none in common it has 62.10%. T8s does better with a shared suit, by 3.14 points.

T8s against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsT8s winsTies65s winsT8s equity
Share a suit425.0064.2431.99633.76165.241
No shared suit1275.0061.1991.79237.00962.095

How often this matchup comes up

You will meet this exact matchup 0.0020% of the time in a random heads-up deal: 32 of 1,624,350, counting either seat order.

A worked example

Take a $200 pot built from $100 each. T8s' equity of 62.88% is worth $125.76, a $25.76 edge, and 65s' 37.12% is worth $74.24, which is $25.76 under its stake.

In 1,000 deals of exactly this matchup, expect about 620 won outright by T8s, about 362 won outright by 65s and about 18 split.

The same matchup from the other side

If you came looking for 65s against T8s, the numbers are the same with the hands swapped: 37.12% and 62.88%.

Try Ts8s against 6h5h 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 16 specific deals of T8s against 65s, 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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