77 vs T9o: preflop equity

If 77 and T9o get all the chips in before the flop, 77 owns 52.66% of the pot in the long run and T9o owns 47.34%.

77

52.66%

Wins 52.37%, ties 0.58%

T9o

47.34%

Wins 47.05%, ties 0.58%

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

77 against T9o: the numbers

Exact preflop results for 77 against T9o, in percent
HandWinsTiesLosesEquity
7752.3730.58047.04752.663
T9o47.0470.58052.37347.337

Here a pocket pair (77) meets an offsuit hand (T9o). 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.

With only 5.32 points between them, the board decides this matchup far more than the cards in hand. Ties are part of the picture: 0.58% of boards end in a split pot, and each side counts that as half a win.

Among the 169 starting hands, 77 is number 9 and T9o is number 78 by strength against a random hand.

Boards behind the percentages: 123,285,888 counted in all
HandBoards won, aboutBoards tied, aboutBoards lost, about
7764,569,000715,00058,002,000
T9o58,002,000715,00064,569,000

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.

77 against T9o read as odds
HandEquity as odds (to 1)Wins one deal inLoses one deal inPot odds needed to call (to 1)
771.1131.9092.1260.899
T9o0.8992.1261.9091.113

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

Across the five flop textures 77's equity moves by 11.17 points, from 49.44% on monotone flops to 60.61% on low rainbow flops (nine high or lower). T9o takes over on rainbow flops topped by a ten or better and monotone flops, so the favorite before the flop is the underdog on those boards.

77 against T9o by flop texture, in percent
FlopShare of flops77 winsTiesT9o wins77 equity
Rainbow, ten or higher25.34149.4220.37550.20349.609
Rainbow, nine or lower5.68960.4060.41039.18460.611
Two-tone46.48551.1900.36948.44151.375
Monotone5.15148.5461.78549.66949.439
Paired17.33458.3621.13940.49958.932

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

Relative to a random opponent, 77 changes by -13.58 points (baseline 66.24%) and T9o by -4.19 points (baseline 51.53%).

77 and T9o here compared with each against a random hand, in percent
CaseEquity hereAgainst a random handChange in pointsTimes the random-hand equity
77, all flops52.66366.236-13.5730.79508
77, rainbow, ten or higher49.60966.236-16.6270.74897
77, rainbow, nine or lower60.61166.236-5.6250.91508
77, two-tone51.37566.236-14.8610.77564
77, monotone49.43966.236-16.7970.74641
77, paired58.93266.236-7.3040.88973
T9o, all flops47.33751.532-4.1950.91859
T9o, rainbow, ten or higher50.39151.532-1.1410.97786
T9o, rainbow, nine or lower39.38951.532-12.1430.76436
T9o, two-tone48.62551.532-2.9070.94359
T9o, monotone50.56151.532-0.9710.98116
T9o, paired41.06851.532-10.4640.79694

Does a shared suit matter?

Split by suits, the deals give 77 52.57% when the hands overlap in a suit and 53.12% when they do not. 77 does better with no shared suit, by 0.55 points.

77 against T9o by suit overlap, in percent
DealsSpecific dealsShare of deals77 winsTiesT9o wins77 equity
Share a suit6083.3352.2740.59547.13152.571
No shared suit1216.6752.8710.50146.62853.121

How often this matchup comes up

Exactly 72 specific deals fit this matchup in one seat order, which is 0.0044% of 1,624,350; both orders together give 144, or 0.0089%.

A worked example

Say each player puts $100 in before the flop, making a $200 pot. On average 77 takes back $105.32 of it, which is $5.32 more than it put in, and T9o takes back $94.68, $5.32 less than it put in.

Out of 1,000 deals you should see around 524 outright wins for 77, 470 for T9o, and 6 split pots.

The same matchup from the other side

The reversed view, T9o against 77, shows 47.34% for T9o and 52.66% for 77. It is the same count, so it redirects here.

The calculator link fills in 7s7h against Td9c, a deal where the two hands share no suit. Change any card to test your own hand. The neighboring matchups below swap one of the two hands for one of similar strength.

How this was computed

Each figure is a complete count over boards. Take the 72 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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