77 vs QTo: preflop equity

77 against QTo: the numbers

77 and QTo are a pocket pair and an offsuit hand, in that order. This is a pair against two overcards, a matchup that stays close because the other hand only needs one of its ranks to appear.

With only 4.38 points between them, the board decides this matchup far more than the cards in hand. A split pot comes up on 0.47% of boards, so the wins and the equity differ by half of that.

In the ranking of all 169 starting hands, 77 is number 9 and QTo is number 47.

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.

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

By flop texture, 77's equity runs from 44.38% on rainbow flops topped by a ten or better up to 78.30% on low rainbow flops (nine high or lower). QTo is ahead on rainbow flops topped by a ten or better and monotone flops, even though it trails 77 when every flop is counted.

Flop types: rainbow means three different suits, two-tone means one suit twice, monotone means one suit three times, paired means a repeated rank.

Compared with a random hand

Start from the random-hand figures, 66.24% for 77 and 57.29% for QTo. This opponent changes them by -14.05 and -9.48 points.

Does a shared suit matter?

Split by suits, the deals give 77 52.10% when the hands overlap in a suit and 52.64% when they do not. 77 does better with no shared suit, by 0.54 points.

How often this matchup comes up

Out of 1,624,350 ways to deal two seats two cards each, 72 are 77 in one seat and QTo in the other (0.0044%); with the seats swapped too, 144 (0.0089%).

A worked example

Worked example: both players commit $100, so $200 sits in the middle. Over every board, 77's average share is $104.38 (a gain of $4.38) and QTo's is $95.62 (a loss of $4.38).

In 1,000 deals of exactly this matchup, expect about 519 won outright by 77, about 476 won outright by QTo and about 5 split.

The same matchup from the other side

The reversed view, QTo against 77, shows 47.81% for QTo and 52.19% for 77. It is the same count, so it redirects here.

Keep exploring

Open the calculator with 7s7h against QdTc already entered, a deal with no shared suit, and change any card to try your own hand. The matchups after it each swap one hand for a nearby one in the ranking.

• Open 7s7h against QdTc in the equity calculator
• 77 combos
• QTo combos
• 77 vs 44
• 77 vs J9s
• AQs vs QTo
• All hand matchups