66 vs T8s: preflop equity

Before any board card is dealt, 66 holds 50.31% equity against T8s, which leaves T8s with 49.69%.

66

50.31%

Wins 49.94%, ties 0.75%

T8s

49.69%

Wins 49.31%, ties 0.75%

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

66 against T8s: the numbers

Exact preflop results for 66 against T8s, in percent
HandWinsTiesLosesEquity
6649.9400.74949.31150.314
T8s49.3110.74949.94049.686

66, a pocket pair, plays T8s, a suited hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

66 leads by less than 1 points of equity, so the result of any one deal is close to a toss-up. The tie share is 0.75%: on those boards the pot is chopped and neither hand wins outright.

The hand ranking puts 66 at 17 and T8s at 73 out of 169 starting hands.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6620,523,000308,00020,265,000
T8s20,265,000308,00020,523,000

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.

66 against T8s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
661.0132.0022.0280.988
T8s0.9882.0282.0021.013

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

Split by what the flop looks like, 66 peaks at 58.40% on low rainbow flops (nine high or lower) and bottoms out at 48.39% on two-tone flops. On rainbow flops topped by a ten or better, two-tone flops and monotone flops the numbers flip and T8s is the one ahead.

66 against T8s by flop texture, in percent
FlopShare of flops66 winsTiesT8s wins66 equity
Rainbow, ten or higher25.22048.4050.43751.15848.623
Rainbow, nine or lower5.68958.2020.39941.39958.402
Two-tone46.54548.1810.41251.40748.387
Monotone5.21248.6542.58148.76549.944
Paired17.33454.5711.67343.75655.408

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

A random hand would give 66 63.29% and T8s 52.33%. Against each other the change is -12.98 points for 66 and -2.64 for T8s.

66 and T8s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops50.31463.285-12.9710.79504
66, rainbow, ten or higher48.62363.285-14.6620.76832
66, rainbow, nine or lower58.40263.285-4.8830.92284
66, two-tone48.38763.285-14.8980.76459
66, monotone49.94463.285-13.3410.78919
66, paired55.40863.285-7.8770.87553
T8s, all flops49.68652.334-2.6480.94940
T8s, rainbow, ten or higher51.37752.334-0.9570.98171
T8s, rainbow, nine or lower41.59852.334-10.7360.79486
T8s, two-tone51.61352.334-0.7210.98622
T8s, monotone50.05652.334-2.2780.95647
T8s, paired44.59252.334-7.7420.85207

Does a shared suit matter?

Two kinds of deal exist here. In 12 of them the hands share a suit and 66 holds 50.44%. In 12 they do not, and it holds 50.19%. 66 does better with a shared suit, by 0.25 points.

66 against T8s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesT8s wins66 equity
Share a suit1250.0050.0490.78949.16250.444
No shared suit1250.0049.8300.70949.46150.185

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 24 are 66 in one seat and T8s in the other (0.0015%); with the seats swapped too, 48 (0.0030%).

A worked example

A $100 all-in from each player makes a $200 pot, and the exact equity says 66 gets $100.62 of it on average and T8s gets $99.38.

Out of 1,000 deals you should see around 499 outright wins for 66, 493 for T8s, and 8 split pots.

The same matchup from the other side

T8s against 66 adds nothing new: it is 49.69% for T8s and 50.31% for 66, the same figures reversed.

Open the calculator with 6s6h against Td8d 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 24 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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