T9o vs 64s: preflop equity

Counting every board, the equity split is 62.00% for T9o and 38.00% for 64s, so T9o leads by 24.00 points.

T9o

62.00%

Wins 61.13%, ties 1.75%

64s

38.00%

Wins 37.12%, ties 1.75%

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

T9o against 64s: the numbers

Exact preflop results for T9o against 64s, in percent
HandWinsTiesLosesEquity
T9o61.1291.74537.12662.002
64s37.1261.74561.12937.998

One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 1.75% of boards, so the wins and the equity differ by half of that.

For context, T9o sits at number 78 of 169 starting hands and 64s at number 138 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
T9o50,242,0001,434,00030,514,000
64s30,514,0001,434,00050,242,000

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 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
T9o1.6321.6362.6940.613
64s0.6132.6941.6361.632

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: T9o holds 67.29% on rainbow flops topped by a ten or better and 48.44% on low rainbow flops (nine high or lower). 64s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

T9o against 64s by flop texture, in percent
FlopShare of flopsT9o winsTies64s winsT9o equity
Rainbow, ten or higher25.34166.7201.13632.14467.288
Rainbow, nine or lower5.68948.1830.51151.30648.439
Two-tone46.66760.3790.96038.66160.859
Monotone5.21258.6742.93638.39060.142
Paired17.09159.9454.84035.21562.365

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

Each hand has a baseline against a random hand: 51.53% for T9o, 41.33% for 64s. Here the change is +10.47 and -3.33 points.

T9o and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
T9o, all flops62.00251.532+10.4701.20317
T9o, rainbow, ten or higher67.28851.532+15.7561.30575
T9o, rainbow, nine or lower48.43951.532-3.0930.93998
T9o, two-tone60.85951.532+9.3271.18099
T9o, monotone60.14251.532+8.6101.16708
T9o, paired62.36551.532+10.8331.21022
64s, all flops37.99841.333-3.3350.91931
64s, rainbow, ten or higher32.71241.333-8.6210.79143
64s, rainbow, nine or lower51.56141.333+10.2281.24745
64s, two-tone39.14141.333-2.1920.94697
64s, monotone39.85841.333-1.4750.96431
64s, paired37.63541.333-3.6980.91053

Does a shared suit matter?

The suit split reads 62.73% for T9o with a shared suit and 61.27% without one. T9o does better with a shared suit, by 1.46 points.

T9o against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsT9o winsTies64s winsT9o equity
Share a suit2450.0061.8351.79036.37562.730
No shared suit2450.0060.4241.70137.87561.274

How often this matchup comes up

T9o against 64s 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

Take a $200 pot built from $100 each. T9o's equity of 62.00% is worth $124.00, a $24.00 edge, and 64s' 38.00% is worth $76.00, which is $24.00 under its stake.

Out of 1,000 deals you should see around 611 outright wins for T9o, 371 for 64s, and 18 split pots.

The same matchup from the other side

64s against T9o adds nothing new: it is 38.00% for 64s and 62.00% for T9o, the same figures reversed.

Open the calculator with Ts9h against 6d4d 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

Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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