JTo vs 64s: preflop equity

Averaged over every possible board, JTo is ahead of 64s by 23.56 points of equity, 61.78% to 38.22%.

JTo

61.78%

Wins 61.21%, ties 1.14%

64s

38.22%

Wins 37.65%, ties 1.14%

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

JTo against 64s: the numbers

Exact preflop results for JTo against 64s, in percent
HandWinsTiesLosesEquity
JTo61.2061.14437.65061.778
64s37.6501.14461.20638.222

One side is an offsuit hand, the other is a suited hand. With no overlap in ranks, every card that pairs one hand is a card that does not pair the other.

A 23.56 point lead is real, and 64s still takes about 377 of every 1,000 deals outright. About 1.14% of boards chop the pot, which is why equity sits slightly above the win figure for both hands.

In the ranking of all 169 starting hands, JTo is number 57 and 64s is number 138.

Boards behind the percentages: 82,190,592 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
JTo50,306,000940,00030,945,000
64s30,945,000940,00050,306,000

48 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.

JTo against 64s read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
JTo1.6161.6342.6560.619
64s0.6192.6561.6341.616

The last column is the smallest pot odds, written as a pot-to-call ratio, at which a call breaks even with this equity.

Who is ahead on which flops

Split by what the flop looks like, JTo peaks at 69.92% on rainbow flops topped by a ten or better and bottoms out at 38.31% on low rainbow flops (nine high or lower). Watch for low rainbow flops (nine high or lower): on those flops 64s holds the better equity.

JTo against 64s by flop texture, in percent
FlopShare of flopsJTo winsTies64s winsJTo equity
Rainbow, ten or higher24.71769.6050.61929.77669.915
Rainbow, nine or lower6.31338.0170.59461.38938.314
Two-tone46.66760.2130.58239.20560.504
Monotone5.21258.5142.65638.83059.842
Paired17.09161.1603.18035.66062.750

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

Start from the random-hand figures, 55.25% for JTo and 41.33% for 64s. This opponent changes them by +6.53 and -3.11 points.

JTo and 64s here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
JTo, all flops61.77855.248+6.5301.11819
JTo, rainbow, ten or higher69.91555.248+14.6671.26548
JTo, rainbow, nine or lower38.31455.248-16.9340.69349
JTo, two-tone60.50455.248+5.2561.09513
JTo, monotone59.84255.248+4.5941.08315
JTo, paired62.75055.248+7.5021.13579
64s, all flops38.22241.333-3.1110.92473
64s, rainbow, ten or higher30.08541.333-11.2480.72787
64s, rainbow, nine or lower61.68641.333+20.3531.49242
64s, two-tone39.49641.333-1.8370.95556
64s, monotone40.15841.333-1.1750.97157
64s, paired37.25041.333-4.0830.90122

Does a shared suit matter?

Of the deals of this matchup, 24 share a suit (JTo at 62.51%) and 24 do not (61.05%). JTo does better with a shared suit, by 1.46 points.

JTo against 64s by suit overlap, in percent
DealsSpecific dealsShare of dealsJTo winsTies64s winsJTo equity
Share a suit2450.0061.9151.18736.89862.508
No shared suit2450.0060.4981.10138.40161.048

How often this matchup comes up

Counting specific cards, JTo against 64s appears in 48 of the 1,624,350 ordered heads-up deals (0.0030%), and in 96 when the seats are swapped too (0.0059%).

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average JTo takes back $123.56 of it, which is $23.56 more than it put in, and 64s takes back $76.44, $23.56 less than it put in.

Think in thousands: about 612 of 1,000 go to JTo, about 377 go to 64s, and about 11 are chopped.

The same matchup from the other side

64s versus JTo is this same page seen from the other hand: 38.22% for 64s, 61.78% for JTo.

Try JsTh against 6d4d 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

We counted every case. Each suit pattern of the 48 specific JTo against 64s deals meets all 1,712,304 boards, and the better five-card hand wins; a split pot is half a win each. The flop table reads each board under all ten of its three-card flops.

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

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