64s vs 43s: preflop equity

If 64s and 43s get all the chips in before the flop, 64s owns 61.54% of the pot in the long run and 43s owns 38.46%.

64s

61.54%

Wins 49.82%, ties 23.43%

43s

38.46%

Wins 26.75%, ties 23.43%

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

64s against 43s: the numbers

Exact preflop results for 64s against 43s, in percent
HandWinsTiesLosesEquity
64s49.82423.43326.74361.540
43s26.74323.43349.82438.460

64s meets 43s, and both are suited hands. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

The lead is steady rather than large, and the flop still has plenty of say in who wins. A split pot comes up on 23.43% of boards, so the wins and the equity differ by half of that.

By strength against a random hand, 64s holds place 138 of 169 and 43s holds place 150.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
64s10,238,0004,815,0005,495,000
43s5,495,0004,815,00010,238,000

12 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.

64s against 43s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
64s1.6002.0073.7390.625
43s0.6253.7392.0071.600

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

64s prefers low rainbow flops (nine high or lower), where it holds 64.34%, and likes monotone flops least, where it holds 57.92%. 64s stays ahead on all five textures.

64s against 43s by flop texture, in percent
FlopShare of flops64s winsTies43s wins64s equity
Rainbow, ten or higher25.84450.49324.49425.01362.740
Rainbow, nine or lower5.06556.56415.56027.87664.344
Two-tone46.54350.97120.52628.50361.234
Monotone5.21548.66418.50232.83457.915
Paired17.33344.12533.43922.43660.844

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

Against one random hand instead, 64s holds 41.33% and 43s holds 38.64%. Facing each other changes that by +20.21 points for 64s and -0.18 points for 43s.

64s and 43s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
64s, all flops61.54041.333+20.2071.48888
64s, rainbow, ten or higher62.74041.333+21.4071.51792
64s, rainbow, nine or lower64.34441.333+23.0111.55672
64s, two-tone61.23441.333+19.9011.48148
64s, monotone57.91541.333+16.5821.40118
64s, paired60.84441.333+19.5111.47204
43s, all flops38.46038.642-0.1820.99529
43s, rainbow, ten or higher37.26038.642-1.3820.96424
43s, rainbow, nine or lower35.65638.642-2.9860.92273
43s, two-tone38.76638.642+0.1241.00321
43s, monotone42.08538.642+3.4431.08910
43s, paired39.15638.642+0.5141.01330

Does a shared suit matter?

Every legal deal of 64s against 43s leaves the hands with no suit in common, so the suit split does not apply here.

64s against 43s by suit overlap, in percent
DealsSpecific dealsShare of deals64s winsTies43s wins64s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0049.82423.43326.74361.540

How often this matchup comes up

How often does it happen? 12 of the 1,624,350 ordered deals (0.0007%) are 64s against 43s, and 24 (0.0015%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: 64s averages $123.08 back, ahead of its $100 by $23.08, while 43s averages $76.92, short of its $100 by $23.08.

Out of 1,000 deals you should see around 498 outright wins for 64s, 268 for 43s, and 234 split pots.

The same matchup from the other side

Swap the hands and you get 43s with 38.46% against 64s with 61.54%. We keep one page per matchup, with the better-ranked hand first.

Try 6s4s against 4h3h 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 12 specific deals of 64s against 43s, 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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