66 vs 22: preflop equity

If 66 and 22 get all the chips in before the flop, 66 owns 81.56% of the pot in the long run and 22 owns 18.44%.

66

81.56%

Wins 80.54%, ties 2.03%

22

18.44%

Wins 17.43%, ties 2.03%

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

66 against 22: the numbers

Exact preflop results for 66 against 22, in percent
HandWinsTiesLosesEquity
6680.5422.02917.42981.557
2217.4292.02980.54218.443

Here pocket pairs face each other, 66 on one side and 22 on the other. Both hands are pairs, so the bigger pair is ahead on every board that does not pair a card below it.

A gap this wide means 22 is in trouble before the flop and has few good runouts. 2.03% of boards are ties, so the equity of each hand is its win rate plus half of that.

The hand ranking puts 66 at 17 and 22 at 87 out of 169 starting hands.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
6649,648,0001,251,00010,744,000
2210,744,0001,251,00049,648,000

36 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 22 read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
664.4221.2425.7380.226
220.2265.7381.2424.422

The final column gives the least the pot must offer for each unit called for a call to break even at this equity.

Who is ahead on which flops

By flop texture, 66's equity runs from 76.16% on low rainbow flops (nine high or lower) up to 84.61% on paired flops. 66 stays ahead on all five textures.

66 against 22 by flop texture, in percent
FlopShare of flops66 winsTies22 wins66 equity
Rainbow, ten or higher25.84482.0531.17016.77782.638
Rainbow, nine or lower5.06575.6700.98323.34776.162
Two-tone46.36380.3921.12018.48880.952
Monotone5.15274.7353.45821.80776.464
Paired17.57681.8215.57512.60484.609

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

The table below sets each hand against its own random-hand baseline: a change of +18.27 points for 66, from 63.29%, and -31.89 for 22, from 50.33%.

66 and 22 here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
66, all flops81.55763.285+18.2721.28873
66, rainbow, ten or higher82.63863.285+19.3531.30581
66, rainbow, nine or lower76.16263.285+12.8771.20348
66, two-tone80.95263.285+17.6671.27917
66, monotone76.46463.285+13.1791.20825
66, paired84.60963.285+21.3241.33695
22, all flops18.44350.334-31.8910.36641
22, rainbow, ten or higher17.36250.334-32.9720.34494
22, rainbow, nine or lower23.83850.334-26.4960.47360
22, two-tone19.04850.334-31.2860.37843
22, monotone23.53650.334-26.7980.46760
22, paired15.39150.334-34.9430.30578

Does a shared suit matter?

Does suit overlap move the numbers? 66 has 81.69% when the hands share a suit and 80.89% when they do not. 66 does better with a shared suit, by 0.80 points.

66 against 22 by suit overlap, in percent
DealsSpecific dealsShare of deals66 winsTies22 wins66 equity
Share a suit3083.3380.6732.03617.29181.691
No shared suit616.6779.8891.99318.11880.886

How often this matchup comes up

You will meet this exact matchup 0.0044% of the time in a random heads-up deal: 72 of 1,624,350, counting either seat order.

A worked example

With $100 from each side, the $200 pot is split on average as $163.12 for 66 and $36.88 for 22; the first side gains $63.12 per all-in and the second gives up $63.12.

Out of 1,000 deals you should see around 806 outright wins for 66, 174 for 22, and 20 split pots.

The same matchup from the other side

The reversed view, 22 against 66, shows 18.44% for 22 and 81.56% for 66. It is the same count, so it redirects here.

The calculator link fills in 6s6h against 2d2c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

The figures are counted, not estimated: 1,712,304 boards for every suit pattern of the 36 specific deals, with both seven-card hands compared each time. Equity gives half a win for a tie. For the flop rows, a board is counted once under each of the ten flops inside it.

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

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