JTs vs 53s: preflop equity

In equity, JTs against 53s stands at 64.02% to 35.98%, a gap of 28.04 points.

JTs

64.02%

Wins 63.43%, ties 1.20%

53s

35.98%

Wins 35.37%, ties 1.20%

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

JTs against 53s: the numbers

Exact preflop results for JTs against 53s, in percent
HandWinsTiesLosesEquity
JTs63.4251.19535.38064.023
53s35.3801.19563.42535.977

JTs and 53s are both suited hands. Neither hand shares a rank with the other, so this is a contest of high cards, connection and suits.

That is a modest edge, the kind that shows up over many hands and is easy to miss in one. A split pot comes up on 1.20% of boards, so the wins and the equity differ by half of that.

In the ranking of all 169 starting hands, JTs is number 45 and 53s is number 146.

Boards behind the percentages: 27,396,864 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTs17,376,000327,0009,693,000
53s9,693,000327,00017,376,000

The total is exact: 16 specific deals times 1,712,304 boards. The three counts are approximate, worked out from the percentages to five decimals and rounded to the nearest thousand.

JTs against 53s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTs1.7801.5772.8260.562
53s0.5622.8261.5771.780

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

The flop changes the picture. JTs does best on rainbow flops topped by a ten or better, at 70.52%, and worst on low rainbow flops (nine high or lower), at 41.74%. 53s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

JTs against 53s by flop texture, in percent
FlopShare of flopsJTs winsTies53s winsJTs equity
Rainbow, ten or higher24.59570.2040.62729.16970.517
Rainbow, nine or lower6.31441.3880.70357.90941.740
Two-tone46.72763.2480.59636.15663.546
Monotone5.27359.2833.74536.97261.155
Paired17.09163.5743.04433.38265.096

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, JTs holds 57.53% and 53s holds 39.69%. Facing each other changes that by +6.49 points for JTs and -3.71 points for 53s.

JTs and 53s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTs, all flops64.02357.528+6.4951.11290
JTs, rainbow, ten or higher70.51757.528+12.9891.22579
JTs, rainbow, nine or lower41.74057.528-15.7880.72556
JTs, two-tone63.54657.528+6.0181.10461
JTs, monotone61.15557.528+3.6271.06305
JTs, paired65.09657.528+7.5681.13155
53s, all flops35.97739.693-3.7160.90638
53s, rainbow, ten or higher29.48339.693-10.2100.74278
53s, rainbow, nine or lower58.26039.693+18.5671.46777
53s, two-tone36.45439.693-3.2390.91840
53s, monotone38.84539.693-0.8480.97864
53s, paired34.90439.693-4.7890.87935

Does a shared suit matter?

Does suit overlap move the numbers? JTs has 66.44% when the hands share a suit and 63.22% when they do not. JTs does better with a shared suit, by 3.22 points.

JTs against 53s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTs winsTies53s winsJTs equity
Share a suit425.0065.7891.30832.90366.443
No shared suit1275.0062.6381.15736.20563.216

How often this matchup comes up

Counting specific cards, JTs against 53s appears in 16 of the 1,624,350 ordered heads-up deals (0.0010%), and in 32 when the seats are swapped too (0.0020%).

A worked example

Take a $200 pot built from $100 each. JTs' equity of 64.02% is worth $128.04, a $28.04 edge, and 53s' 35.98% is worth $71.96, which is $28.04 under its stake.

In 1,000 deals of exactly this matchup, expect about 634 won outright by JTs, about 354 won outright by 53s and about 12 split.

The same matchup from the other side

The reversed view, 53s against JTs, shows 35.98% for 53s and 64.02% for JTs. It is the same count, so it redirects here.

Try JsTs against 5h3h 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

Method: exact enumeration. The 16 specific deals are grouped by suit pattern, each is run against all 1,712,304 boards, and both seven-card hands are scored. Equity adds half of every tie, and flop textures are tallied over the ten flops inside each board.

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

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