66 vs 54s: preflop equity

Over all 1,712,304 boards that can follow this deal, 66 finishes with 81.01% of the pot and 54s with 18.99%.

66

81.01%

Wins 80.07%, ties 1.87%

54s

18.99%

Wins 18.06%, ties 1.87%

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

66 against 54s: the numbers

Exact preflop results for 66 against 54s, in percent
HandWinsTiesLosesEquity
6680.0701.87118.05981.005
54s18.0591.87180.07018.995

66 and 54s are a pocket pair and a suited hand, in that order. Here a pair faces two cards that are both smaller, so the other hand needs to pair up and still be behind.

66 is a big favorite here before anyone sees a flop. Ties are 1.87% of the outcomes here; each tied board gives both hands half the pot.

Place 17 of 169 belongs to 66 and place 136 belongs to 54s in the ranking against a random hand.

Boards behind the percentages: 41,095,296 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6632,905,000769,0007,421,000
54s7,421,000769,00032,905,000

24 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.

66 against 54s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
664.2651.2495.5370.234
54s0.2345.5371.2494.265

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

66 prefers rainbow flops topped by a ten or better, where it holds 84.60%, and likes monotone flops least, where it holds 75.26%. 66 stays ahead on all five textures.

66 against 54s by flop texture, in percent
FlopShare of flops66 winsTies54s wins66 equity
Rainbow, ten or higher25.84484.0371.13014.83384.602
Rainbow, nine or lower5.06575.6980.71923.58376.058
Two-tone46.54579.0181.00119.98179.518
Monotone5.21273.7043.11523.18175.262
Paired17.33480.1735.27114.55682.808

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

How much does the opponent matter? Compared with its random-hand 63.29%, 66 changes by +17.72 points, and 54s, from 41.45%, by -22.46.

66 and 54s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops81.00563.285+17.7201.28000
66, rainbow, ten or higher84.60263.285+21.3171.33684
66, rainbow, nine or lower76.05863.285+12.7731.20183
66, two-tone79.51863.285+16.2331.25651
66, monotone75.26263.285+11.9771.18925
66, paired82.80863.285+19.5231.30849
54s, all flops18.99541.453-22.4580.45823
54s, rainbow, ten or higher15.39841.453-26.0550.37146
54s, rainbow, nine or lower23.94241.453-17.5110.57757
54s, two-tone20.48241.453-20.9710.49410
54s, monotone24.73841.453-16.7150.59677
54s, paired17.19241.453-24.2610.41473

Does a shared suit matter?

Split by suits, the deals give 66 81.56% when the hands overlap in a suit and 80.45% when they do not. 66 does better with a shared suit, by 1.11 points.

66 against 54s by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTies54s wins66 equity
Share a suit1250.0080.6051.91017.48581.560
No shared suit1250.0079.5351.83118.63480.451

How often this matchup comes up

The class pair covers 24 combinations of specific cards in a fixed seat order, 0.0015% of 1,624,350, and 48 (0.0030%) in either order.

A worked example

Take a $200 pot built from $100 each. 66's equity of 81.01% is worth $162.02, a $62.02 edge, and 54s' 18.99% is worth $37.98, which is $62.02 under its stake.

Think in thousands: about 801 of 1,000 go to 66, about 180 go to 54s, and about 19 are chopped.

The same matchup from the other side

The reversed view, 54s against 66, shows 18.99% for 54s and 81.01% for 66. It is the same count, so it redirects here.

Try 6s6h against 5d4d 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 24 deals of 66 against 54s 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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