44 vs JTo: preflop equity

Over all 1,712,304 boards that can follow this deal, JTo finishes with 50.44% of the pot and 44 with 49.56%.

44

49.56%

Wins 49.09%, ties 0.95%

JTo

50.44%

Wins 49.96%, ties 0.95%

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

44 against JTo: the numbers

Exact preflop results for 44 against JTo, in percent
HandWinsTiesLosesEquity
4449.0870.94649.96749.560
JTo49.9670.94649.08750.440

44, a pocket pair, plays JTo, an offsuit hand. A pair against two higher cards is the classic race: the pair is usually a small favorite or close to even, and each overcard that pairs is a way to take the lead.

JTo leads by less than 1 points of equity, so the result of any one deal is close to a toss-up. Ties are part of the picture: 0.95% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, 44 is number 48 and JTo is number 57 by strength against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
4460,517,0001,166,00061,602,000
JTo61,602,0001,166,00060,517,000

Exact total: 72 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.

44 against JTo read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
440.9832.0372.0011.018
JTo1.0182.0012.0370.983

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

The flop changes the picture. JTo does best on rainbow flops topped by a ten or better, at 56.86%, and worst on low rainbow flops (nine high or lower), at 28.06%. On low rainbow flops (nine high or lower) and paired flops the numbers flip and 44 is the one ahead.

44 against JTo by flop texture, in percent
FlopShare of flops44 winsTiesJTo wins44 equity
Rainbow, ten or higher24.71742.8790.53156.59043.144
Rainbow, nine or lower6.31471.6310.62427.74571.943
Two-tone46.48548.5790.53750.88448.847
Monotone5.15146.3292.20651.46547.432
Paired17.33351.9112.37845.71153.100

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, 44 holds 57.02% and JTo holds 55.25%. Facing each other changes that by -7.46 points for 44 and -4.81 points for JTo.

44 and JTo here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
44, all flops49.56057.023-7.4630.86912
44, rainbow, ten or higher43.14457.023-13.8790.75661
44, rainbow, nine or lower71.94357.023+14.9201.26165
44, two-tone48.84757.023-8.1760.85662
44, monotone47.43257.023-9.5910.83180
44, paired53.10057.023-3.9230.93120
JTo, all flops50.44055.248-4.8080.91297
JTo, rainbow, ten or higher56.85655.248+1.6081.02911
JTo, rainbow, nine or lower28.05755.248-27.1910.50784
JTo, two-tone51.15355.248-4.0950.92588
JTo, monotone52.56855.248-2.6800.95149
JTo, paired46.90055.248-8.3480.84890

Does a shared suit matter?

The suit split reads 50.53% for JTo with a shared suit and 49.98% without one. JTo does better with a shared suit, by 0.55 points.

44 against JTo by suit overlap, in percent
DealsSpecific dealsShare of deals44 winsTiesJTo wins44 equity
Share a suit6083.3348.9880.95950.05349.467
No shared suit1216.6749.5830.88049.53750.023

How often this matchup comes up

The class pair covers 72 combinations of specific cards in a fixed seat order, 0.0044% of 1,624,350, and 144 (0.0089%) in either order.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average JTo takes back $100.88 of it, which is $0.88 more than it put in, and 44 takes back $99.12, $0.88 less than it put in.

Per 1,000 deals: JTo wins about 500, 44 wins about 491, and about 9 end in a split pot.

The same matchup from the other side

JTo against 44 adds nothing new: it is 50.44% for JTo and 49.56% for 44, the same figures reversed.

4s4h against JdTc 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

The page is built from a full enumeration: 1,712,304 boards, every suit pattern of the 72 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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