66 vs 44: preflop equity

Averaged over every possible board, 66 is ahead of 44 by 62.80 points of equity, 81.40% to 18.60%.

66

81.40%

Wins 80.42%, ties 1.97%

44

18.60%

Wins 17.61%, ties 1.97%

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

66 against 44: the numbers

Exact preflop results for 66 against 44, in percent
HandWinsTiesLosesEquity
6680.4181.97017.61281.403
4417.6121.97080.41818.597

This is a contest between two pocket pairs, 66 and 44. Two pairs against each other is a one-way street: the lower pair needs one of its two remaining cards.

That is a heavy lead: 44 needs the board to help it on most runouts and still falls behind far more often than not. Of every 100 boards, about 1.97 are split pots, and the equity figures already include them.

In the ranking of all 169 starting hands, 66 is number 17 and 44 is number 48.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6649,572,0001,214,00010,857,000
4410,857,0001,214,00049,572,000

The board total is exact, 36 deals at 1,712,304 boards each. Won, tied and lost counts are rounded to the nearest thousand from the five-decimal percentages.

66 against 44 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
664.3771.2445.6780.228
440.2285.6781.2444.377

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

Paired flops are the best for 66 (84.46%); low rainbow flops (nine high or lower) are the worst (75.61%). 66 stays ahead on all five textures.

66 against 44 by flop texture, in percent
FlopShare of flops66 winsTies44 wins66 equity
Rainbow, ten or higher25.84481.9931.17016.83782.578
Rainbow, nine or lower5.06575.2300.76124.00975.611
Two-tone46.36380.2741.08618.64080.817
Monotone5.15274.6422.83422.52476.059
Paired17.57681.6735.57412.75384.460

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

Relative to a random opponent, 66 changes by +18.11 points (baseline 63.29%) and 44 by -38.42 points (baseline 57.02%).

66 and 44 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops81.40363.285+18.1181.28629
66, rainbow, ten or higher82.57863.285+19.2931.30486
66, rainbow, nine or lower75.61163.285+12.3261.19477
66, two-tone80.81763.285+17.5321.27703
66, monotone76.05963.285+12.7741.20185
66, paired84.46063.285+21.1751.33460
44, all flops18.59757.023-38.4260.32613
44, rainbow, ten or higher17.42257.023-39.6010.30553
44, rainbow, nine or lower24.38957.023-32.6340.42770
44, two-tone19.18357.023-37.8400.33641
44, monotone23.94157.023-33.0820.41985
44, paired15.54057.023-41.4830.27252

Does a shared suit matter?

Does suit overlap move the numbers? 66 has 81.54% when the hands share a suit and 80.72% when they do not. 66 does better with a shared suit, by 0.82 points.

66 against 44 by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTies44 wins66 equity
Share a suit3083.3380.5491.98317.46881.540
No shared suit616.6779.7671.90418.32980.719

How often this matchup comes up

Counting specific cards, 66 against 44 appears in 36 of the 1,624,350 ordered heads-up deals (0.0022%), and in 72 when the seats are swapped too (0.0044%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 66 is worth $162.80 on average (+$62.80); 44 is worth $37.20 (-$62.80).

A thousand deals look like this: 66 takes 804, 44 takes 176, 20 are ties.

The same matchup from the other side

The reversed view, 44 against 66, shows 18.60% for 44 and 81.40% for 66. It is the same count, so it redirects here.

Try 6s6h against 4d4c 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

This is an exact count with no sampling. For the 36 ways to deal one 66 and one 44 without reusing a card, grouped by suit pattern, every one of the 1,712,304 possible boards is dealt and both seven-card hands are compared. A tie counts as half a win in the equity column, and each board is counted once under each of its ten three-card flops.

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

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