T9o vs 65s: preflop equity

The exact count puts T9o at 61.09% and 65s at 38.91% when the two hands see all five board cards.

T9o

61.09%

Wins 60.22%, ties 1.75%

65s

38.91%

Wins 38.03%, ties 1.75%

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

T9o against 65s: the numbers

Exact preflop results for T9o against 65s, in percent
HandWinsTiesLosesEquity
T9o60.2211.74538.03461.093
65s38.0341.74560.22138.907

T9o, an offsuit hand, plays 65s, a suited hand. The two hands share no rank, which makes this a pure matchup of card strength, straight chances and flush chances.

The lead is steady rather than large, and the flop still has plenty of say in who wins. Split pots make up 1.75% of the boards, and both equity figures count them as half a win each.

For context, T9o sits at number 78 of 169 starting hands and 65s at number 128 when each is run against a random hand.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
T9o49,496,0001,434,00031,260,000
65s31,260,0001,434,00049,496,000

The board total is exact, 48 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

T9o against 65s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T9o1.5701.6612.6290.637
65s0.6372.6291.6611.570

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

By flop texture, T9o's equity runs from 45.75% on low rainbow flops (nine high or lower) up to 66.65% on rainbow flops topped by a ten or better. The lead reverses on low rainbow flops (nine high or lower): there 65s is the favorite even though T9o is ahead overall.

T9o against 65s by flop texture, in percent
FlopShare of flopsT9o winsTies65s winsT9o equity
Rainbow, ten or higher25.34166.0801.13632.78466.648
Rainbow, nine or lower5.68945.4950.51153.99445.751
Two-tone46.66759.4460.96039.59459.926
Monotone5.21257.9672.93239.10159.433
Paired17.09159.2404.83635.92461.658

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

Start from the random-hand figures, 51.53% for T9o and 43.13% for 65s. This opponent changes them by +9.56 and -4.22 points.

T9o and 65s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T9o, all flops61.09351.532+9.5611.18554
T9o, rainbow, ten or higher66.64851.532+15.1161.29333
T9o, rainbow, nine or lower45.75151.532-5.7810.88782
T9o, two-tone59.92651.532+8.3941.16289
T9o, monotone59.43351.532+7.9011.15332
T9o, paired61.65851.532+10.1261.19650
65s, all flops38.90743.133-4.2260.90202
65s, rainbow, ten or higher33.35243.133-9.7810.77324
65s, rainbow, nine or lower54.24943.133+11.1161.25771
65s, two-tone40.07443.133-3.0590.92908
65s, monotone40.56743.133-2.5660.94051
65s, paired38.34243.133-4.7910.88892

Does a shared suit matter?

Does suit overlap move the numbers? T9o has 61.80% when the hands share a suit and 60.39% when they do not. T9o does better with a shared suit, by 1.41 points.

T9o against 65s by suit overlap, in percent
DealsSpecific dealsShare of dealsT9o winsTies65s winsT9o equity
Share a suit2450.0060.9031.78937.30861.798
No shared suit2450.0059.5391.70038.76160.389

How often this matchup comes up

Exactly 48 specific deals fit this matchup in one seat order, which is 0.0030% of 1,624,350; both orders together give 96, or 0.0059%.

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. T9o averages $122.18 from the $200, up $22.18; 65s averages $77.82, down $22.18.

Scaled to 1,000 deals, that is roughly 602 wins for T9o, 380 for 65s and 18 chopped pots.

The same matchup from the other side

The reversed view, 65s against T9o, shows 38.91% for 65s and 61.09% for T9o. It is the same count, so it redirects here.

Try Ts9h against 6d5d 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

Nothing here is simulated. The 48 deals of T9o against 65s fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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