77 vs JTo: preflop equity

Over all 1,712,304 boards that can follow this deal, 77 finishes with 51.72% of the pot and JTo with 48.28%.

77

51.72%

Wins 51.47%, ties 0.50%

JTo

48.28%

Wins 48.03%, ties 0.50%

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

77 against JTo: the numbers

Exact preflop results for 77 against JTo, in percent
HandWinsTiesLosesEquity
7751.4680.50048.03251.718
JTo48.0320.50051.46848.282

The first hand is a pocket pair; the second is an offsuit hand. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

This is close to even money, with 77 a little ahead. About 0.50% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

Place 9 of 169 belongs to 77 and place 57 belongs to JTo in the ranking against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
7763,453,000616,00059,217,000
JTo59,217,000616,00063,453,000

72 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.

77 against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
771.0711.9432.0820.934
JTo0.9342.0821.9431.071

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

Across the five flop textures 77's equity moves by 32.08 points, from 44.14% on rainbow flops topped by a ten or better to 76.22% on low rainbow flops (nine high or lower). The overall edge for 77 hides rainbow flops topped by a ten or better and monotone flops, where JTo comes out in front.

77 against JTo by flop texture, in percent
FlopShare of flops77 winsTiesJTo wins77 equity
Rainbow, ten or higher24.71743.9870.30555.70844.139
Rainbow, nine or lower6.31475.9630.50723.53076.217
Two-tone46.48550.2920.33449.37450.459
Monotone5.15147.9511.74850.30148.825
Paired17.33357.4110.84941.74057.836

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Each hand has a baseline against a random hand: 66.24% for 77, 55.25% for JTo. Here the change is -14.52 and -6.97 points.

77 and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
77, all flops51.71866.236-14.5180.78081
77, rainbow, ten or higher44.13966.236-22.0970.66639
77, rainbow, nine or lower76.21766.236+9.9811.15069
77, two-tone50.45966.236-15.7770.76181
77, monotone48.82566.236-17.4110.73714
77, paired57.83666.236-8.4000.87318
JTo, all flops48.28255.248-6.9660.87391
JTo, rainbow, ten or higher55.86155.248+0.6131.01110
JTo, rainbow, nine or lower23.78355.248-31.4650.43048
JTo, two-tone49.54155.248-5.7070.89670
JTo, monotone51.17555.248-4.0730.92628
JTo, paired42.16455.248-13.0840.76318

Does a shared suit matter?

Suit overlap shows up in the numbers. With a suit in common 77 has 51.63% equity, and with none in common it has 52.18%. 77 does better with no shared suit, by 0.55 points.

77 against JTo by suit overlap, in percent
DealsSpecific dealsShare of deals77 winsTiesJTo wins77 equity
Share a suit6083.3351.3670.51648.11751.625
No shared suit1216.6751.9690.42147.61052.179

How often this matchup comes up

Counting specific cards, 77 against JTo appears in 72 of the 1,624,350 ordered heads-up deals (0.0044%), and in 144 when the seats are swapped too (0.0089%).

A worked example

Try it with money: two players each put in $100 and the whole board runs out every possible way. 77 averages $103.44 from the $200, up $3.44; JTo averages $96.56, down $3.44.

Run 1,000 deals and the tally comes out near 515 for 77, 480 for JTo and 5 ties.

The same matchup from the other side

Read it from the other side: JTo against 77 is the same matchup with the numbers swapped, so JTo holds 48.28% and 77 holds 51.72%. That address sends you back to this page.

The calculator link fills in 7s7h against JdTc, 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 72 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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