JTo vs 53s: preflop equity

Before any board card is dealt, JTo holds 61.57% equity against 53s, which leaves 53s with 38.43%.

JTo

61.57%

Wins 60.98%, ties 1.18%

53s

38.43%

Wins 37.84%, ties 1.18%

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

JTo against 53s: the numbers

Exact preflop results for JTo against 53s, in percent
HandWinsTiesLosesEquity
JTo60.9791.18137.84061.570
53s37.8401.18160.97938.430

Here an offsuit hand (JTo) meets a suited hand (53s). With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

JTo is ahead, but 53s is far from dead: it takes 378 of every 1,000 deals outright. Ties are 1.18% of the outcomes here; each tied board gives both hands half the pot.

Ranked by equity against a random hand, JTo is number 57 of the 169 starting hands and 53s is number 146.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTo50,119,000971,00031,101,000
53s31,101,000971,00050,119,000

Exact total: 48 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.

JTo against 53s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTo1.6021.6402.6430.624
53s0.6242.6431.6401.602

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

JTo prefers rainbow flops topped by a ten or better, where it holds 69.24%, and likes low rainbow flops (nine high or lower) least, where it holds 39.41%. 53s takes over on low rainbow flops (nine high or lower), so the favorite before the flop is the underdog on those boards.

JTo against 53s by flop texture, in percent
FlopShare of flopsJTo winsTies53s winsJTo equity
Rainbow, ten or higher24.71768.9170.64430.43969.239
Rainbow, nine or lower6.31339.0420.73660.22239.410
Two-tone46.66759.9110.62839.46160.225
Monotone5.21258.3172.72738.95659.680
Paired17.09161.3343.16035.50662.914

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

Against one random hand instead, JTo holds 55.25% and 53s holds 39.69%. Facing each other changes that by +6.32 points for JTo and -1.26 points for 53s.

JTo and 53s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTo, all flops61.57055.248+6.3221.11443
JTo, rainbow, ten or higher69.23955.248+13.9911.25324
JTo, rainbow, nine or lower39.41055.248-15.8380.71333
JTo, two-tone60.22555.248+4.9771.09008
JTo, monotone59.68055.248+4.4321.08022
JTo, paired62.91455.248+7.6661.13876
53s, all flops38.43039.693-1.2630.96818
53s, rainbow, ten or higher30.76139.693-8.9320.77497
53s, rainbow, nine or lower60.59039.693+20.8971.52647
53s, two-tone39.77539.693+0.0821.00207
53s, monotone40.32039.693+0.6271.01580
53s, paired37.08639.693-2.6070.93432

Does a shared suit matter?

Does suit overlap move the numbers? JTo has 62.30% when the hands share a suit and 60.85% when they do not. JTo does better with a shared suit, by 1.45 points.

JTo against 53s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTo winsTies53s winsJTo equity
Share a suit2450.0061.6841.22237.09462.295
No shared suit2450.0060.2751.14038.58560.845

How often this matchup comes up

How often does it happen? 48 of the 1,624,350 ordered deals (0.0030%) are JTo against 53s, and 96 (0.0059%) if either hand may sit in either seat.

A worked example

Put $100 each into a $200 pot and deal every board once: JTo averages $123.14 back, ahead of its $100 by $23.14, while 53s averages $76.86, short of its $100 by $23.14.

Run 1,000 deals and the tally comes out near 610 for JTo, 378 for 53s and 12 ties.

The same matchup from the other side

Swap the hands and you get 53s with 38.43% against JTo with 61.57%. We keep one page per matchup, with the better-ranked hand first.

JsTh against 5d3d is a ready-made deal for the calculator, with no suit in common between the hands. The neighboring matchups below replace one hand with another of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 48 specific deals, group them by suit pattern, deal all 1,712,304 boards against each, and compare the two seven-card hands. Equity counts a tie as half a win; the flop rows use every one of a board's ten flops.

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

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