66 vs T9s: preflop equity

Before any board card is dealt, T9s holds 50.88% equity against 66, which leaves 66 with 49.12%.

66

49.12%

Wins 48.76%, ties 0.72%

T9s

50.88%

Wins 50.52%, ties 0.72%

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

66 against T9s: the numbers

Exact preflop results for 66 against T9s, in percent
HandWinsTiesLosesEquity
6648.7580.72150.52149.119
T9s50.5210.72148.75850.881

One side is a pocket pair, the other is 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.

That is a slim edge: neither hand is far ahead. A split pot comes up on 0.72% of boards, so the wins and the equity differ by half of that.

Ranked by equity against a random hand, 66 is number 17 of the 169 starting hands and T9s is number 64.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6620,037,000296,00020,762,000
T9s20,762,000296,00020,037,000

The total is exact: 24 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

66 against T9s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
660.9652.0511.9791.036
T9s1.0361.9792.0510.965

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

Across the five flop textures T9s' equity moves by 11.11 points, from 41.88% on low rainbow flops (nine high or lower) to 52.99% on rainbow flops topped by a ten or better. 66 is ahead on low rainbow flops (nine high or lower) and paired flops, even though it trails T9s when every flop is counted.

66 against T9s by flop texture, in percent
FlopShare of flops66 winsTiesT9s wins66 equity
Rainbow, ten or higher25.22046.8040.40652.79047.007
Rainbow, nine or lower5.68957.8960.44241.66258.117
Two-tone46.54546.9430.39652.66147.141
Monotone5.21247.8022.57149.62749.087
Paired17.33453.7661.58644.64854.559

Rainbow flops have three suits, two-tone flops repeat one suit, monotone flops are all one suit, and paired flops repeat a rank.

Compared with a random hand

Start from the random-hand figures, 63.29% for 66 and 54.03% for T9s. This opponent changes them by -14.17 and -3.15 points.

66 and T9s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops49.11963.285-14.1660.77616
66, rainbow, ten or higher47.00763.285-16.2780.74278
66, rainbow, nine or lower58.11763.285-5.1680.91834
66, two-tone47.14163.285-16.1440.74490
66, monotone49.08763.285-14.1980.77565
66, paired54.55963.285-8.7260.86212
T9s, all flops50.88154.028-3.1470.94175
T9s, rainbow, ten or higher52.99354.028-1.0350.98084
T9s, rainbow, nine or lower41.88354.028-12.1450.77521
T9s, two-tone52.85954.028-1.1690.97836
T9s, monotone50.91354.028-3.1150.94234
T9s, paired45.44154.028-8.5870.84106

Does a shared suit matter?

The suit split reads 50.76% for T9s with a shared suit and 51.00% without one. The two rows differ by only 0.24 points, so suits barely change this matchup.

66 against T9s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTiesT9s wins66 equity
Share a suit1250.0048.8600.76250.37849.241
No shared suit1250.0048.6570.68050.66348.997

How often this matchup comes up

Counting specific cards, 66 against T9s appears in 24 of the 1,624,350 ordered heads-up deals (0.0015%), and in 48 when the seats are swapped too (0.0030%).

A worked example

Take a $200 pot built from $100 each. T9s' equity of 50.88% is worth $101.76, a $1.76 edge, and 66's 49.12% is worth $98.24, which is $1.76 under its stake.

In 1,000 deals of exactly this matchup, expect about 505 won outright by T9s, about 488 won outright by 66 and about 7 split.

The same matchup from the other side

T9s against 66 adds nothing new: it is 50.88% for T9s and 49.12% for 66, the same figures reversed.

Try 6s6h against Td9d 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 24 specific deals of 66 against T9s, 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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