76s vs 75s: preflop equity

Before any board card is dealt, 76s holds 58.37% equity against 75s, which leaves 75s with 41.63%.

76s

58.37%

Wins 42.42%, ties 31.90%

75s

41.63%

Wins 25.68%, ties 31.90%

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

76s against 75s: the numbers

Exact preflop results for 76s against 75s, in percent
HandWinsTiesLosesEquity
76s42.42031.89625.68458.368
75s25.68431.89642.42041.632

Each side holds one of the suited hands: 76s and 75s. Sharing a rank is the signature of a dominated hand, since the weaker hand is usually out-kicked when the shared rank shows up.

76s is ahead, but 75s is far from dead: it takes 257 of every 1,000 deals outright. About 31.90% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Among the 169 starting hands, 76s is number 115 and 75s is number 124 by strength against a random hand.

Boards behind the percentages: 20,547,648 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
76s8,716,0006,554,0005,277,000
75s5,277,0006,554,0008,716,000

Exact total: 12 deals times 1,712,304 boards. The other three counts come from the five-decimal percentages and are rounded to the nearest thousand, so read them as approximate.

76s against 75s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
76s1.4022.3573.8930.713
75s0.7133.8932.3571.402

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

Split by what the flop looks like, 76s peaks at 62.93% on low rainbow flops (nine high or lower) and bottoms out at 54.59% on paired flops. 76s stays ahead on all five textures.

76s against 75s by flop texture, in percent
FlopShare of flops76s winsTies75s wins76s equity
Rainbow, ten or higher25.84442.38934.42423.18759.601
Rainbow, nine or lower5.06554.56216.73128.70762.927
Two-tone46.54344.98727.66327.35058.818
Monotone5.21545.11022.51832.37256.369
Paired17.33331.21946.74222.03954.590

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 +13.00 points for 76s, from 45.37%, and -2.05 for 75s, from 43.68%.

76s and 75s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
76s, all flops58.36845.372+12.9961.28643
76s, rainbow, ten or higher59.60145.372+14.2291.31361
76s, rainbow, nine or lower62.92745.372+17.5551.38691
76s, two-tone58.81845.372+13.4461.29635
76s, monotone56.36945.372+10.9971.24237
76s, paired54.59045.372+9.2181.20316
75s, all flops41.63243.676-2.0440.95320
75s, rainbow, ten or higher40.39943.676-3.2770.92497
75s, rainbow, nine or lower37.07343.676-6.6030.84882
75s, two-tone41.18243.676-2.4940.94290
75s, monotone43.63143.676-0.0450.99897
75s, paired45.41043.676+1.7341.03970

Does a shared suit matter?

The hands cannot hold a suit in common here, which leaves a single case and a single number: 58.37% for 76s.

76s against 75s by suit overlap, in percent
DealsSpecific dealsShare of deals76s winsTies75s wins76s equity
Share a suit00.00not possiblenot possiblenot possiblenot possible
No shared suit12100.0042.42031.89625.68458.368

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 12 are 76s in one seat and 75s in the other (0.0007%); with the seats swapped too, 24 (0.0015%).

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. 76s is worth $116.74 on average (+$16.74); 75s is worth $83.26 (-$16.74).

Out of 1,000 deals you should see around 424 outright wins for 76s, 257 for 75s, and 319 split pots.

The same matchup from the other side

Read it from the other side: 75s against 76s is the same matchup with the numbers swapped, so 75s holds 41.63% and 76s holds 58.37%. That address sends you back to this page.

Try 7s6s against 7h5h 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 12 specific deals, both seven-card hands evaluated. A tie is worth half a win to each hand, and a board is tallied under each of its ten possible flops for the texture rows.

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

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