JJ vs JTo: preflop equity

Before any board card is dealt, JJ holds 87.03% equity against JTo, which leaves JTo with 12.97%.

JJ

87.03%

Wins 85.97%, ties 2.11%

JTo

12.97%

Wins 11.92%, ties 2.11%

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

JJ against JTo: the numbers

Exact preflop results for JJ against JTo, in percent
HandWinsTiesLosesEquity
JJ85.9702.11011.92087.025
JTo11.9202.11085.97012.975

JJ is a pocket pair and JTo is an offsuit hand. The non-pair hand shares a rank with the pair, so two of its outs for pairing are blocked by the pair itself.

That is a heavy lead: JTo needs the board to help it on most runouts and still falls behind far more often than not. Ties are 2.11% of the outcomes here; each tied board gives both hands half the pot.

For context, JJ sits at number 4 of 169 starting hands and JTo at number 57 when each is run against a random hand.

Boards behind the percentages: 61,642,944 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JJ52,994,0001,301,0007,348,000
JTo7,348,0001,301,00052,994,000

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.

JJ against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JJ6.7071.1638.3890.149
JTo0.1498.3891.1636.707

In the last column, a pot-to-call ratio at or above the figure makes a call break even or better at this equity.

Who is ahead on which flops

Across the five flop textures JJ's equity moves by 10.72 points, from 79.21% on monotone flops to 89.93% on low rainbow flops (nine high or lower). JJ stays ahead on all five textures.

JJ against JTo by flop texture, in percent
FlopShare of flopsJJ winsTiesJTo winsJJ equity
Rainbow, ten or higher23.05385.6922.45711.85186.921
Rainbow, nine or lower7.77189.1031.6479.25089.927
Two-tone46.21585.5812.15512.26486.659
Monotone5.13077.9482.51319.53979.205
Paired17.83188.2811.63210.08789.097

A rainbow flop shows three suits, a two-tone flop repeats one suit, a monotone flop is a single suit, and a paired flop repeats a rank.

Compared with a random hand

Start from the random-hand figures, 77.47% for JJ and 55.25% for JTo. This opponent changes them by +9.56 and -42.28 points.

JJ and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JJ, all flops87.02577.469+9.5561.12335
JJ, rainbow, ten or higher86.92177.469+9.4521.12201
JJ, rainbow, nine or lower89.92777.469+12.4581.16081
JJ, two-tone86.65977.469+9.1901.11863
JJ, monotone79.20577.469+1.7361.02241
JJ, paired89.09777.469+11.6281.15010
JTo, all flops12.97555.248-42.2730.23485
JTo, rainbow, ten or higher13.07955.248-42.1690.23673
JTo, rainbow, nine or lower10.07355.248-45.1750.18232
JTo, two-tone13.34155.248-41.9070.24147
JTo, monotone20.79555.248-34.4530.37639
JTo, paired10.90355.248-44.3450.19735

Does a shared suit matter?

Looking only at deals where the hands share a suit, JJ has 87.30%; looking only at deals where they do not, 86.49%. JJ does better with a shared suit, by 0.81 points.

JJ against JTo by suit overlap, in percent
DealsSpecific dealsShare of dealsJJ winsTiesJTo winsJJ equity
Share a suit2466.6786.2222.14511.63387.295
No shared suit1233.3385.4672.04012.49386.487

How often this matchup comes up

The class pair covers 36 combinations of specific cards in a fixed seat order, 0.0022% of 1,624,350, and 72 (0.0044%) in either order.

A worked example

To see what the equity is worth, imagine $100 each in a $200 pot. JJ is worth $174.06 on average (+$74.06); JTo is worth $25.94 (-$74.06).

In 1,000 deals of exactly this matchup, expect about 860 won outright by JJ, about 119 won outright by JTo and about 21 split.

The same matchup from the other side

JTo against JJ adds nothing new: it is 12.97% for JTo and 87.03% for JJ, the same figures reversed.

Open the calculator with JsJh against JdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

How this was computed

Nothing here is simulated. The 36 deals of JJ against JTo fall into a few suit patterns, each dealt against all 1,712,304 boards, with both best five-card hands compared on every board. Ties give each hand half a win, and the flop rows count a board under each of its ten flops.

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

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