Does anyone know the odds of 77 being the best hand at a 9 handed table?

questions like that... like what are the odds of 77 being the best hand at a 9 handed table.. i know it depends on position and how many people folded but im talking before any action.

thank you

Download this.
http://www.pokerstove.com/

Answer to your question from pokerstove...

If you shoved 77 and had 8 callers with random hands you would win about 14.8% of the time

thanks, but do you know the odds of it being the best hand preflop in that situation. or is that the same thing as saying 77 is the best hand preflop, 9 handed, 14% of the time?

because i feel like it would be more than that, considering that most of the time i dont think people usually have a higher pocket pair, and AK is still an underdog.

thank u for the site thought i will check it out.

From the FullTilt Academy, to find the % chance that remaining players have a higher pair than you...

Gordon Pair Principle.

-Count the cards higher than your pair.
-Count the number of players left to act
-Multiply these numbers and divide by two.

...so, before any action 77 has 7 higher cards, times eight left to act, divided by two equals ~28% chance there is a higher pair out, answer ~72%. Of course, high card hands that are flipping with you are common.

Interesting, never heard of that before...what if people have already acted before you, with a raise, etc?

I think you are attacking the problem from the wrong angle.

Look at the fold to 3-bet stat of the villians left to act.

Assume that they will only continue with JJ+ AQs+ KQs AKo

Against that range you have 35% equity. So if your 3-bet represents less than 30% of your stack you are not committed and therefore not getting correct drawiong odds.

Since you will be essentaially bluffing preflop your 3-bet will need to work about 70% of the time so a single player with a fold to 3-bet of 70% will work.

Two players would need a combined FT3B of 70% or about 85% each. 3 villians would each need a FT3B of about 90% and so on.

So you can 3-bet your 77 provided players are likely to fold. Then depending on stack sizes (you would need to be SS) you might be getting correct odds to call a shove.

The problem with looking at the proble the way you are is that you cannot just put your opponents on PP preflop so postflop you wont know if they have a lower PP or High cards that have connected.

They wont call with random hands.. assign them some sort of logical range

well there are exactly 50 hands out of the 1225 hand that are left that beats pocket 7's. That is pocket pairs AA-88, QTs and JTs all are ahead of 77(if you are to go to showdown). So what are the chances of someone holding a better hand than yours about 4% x (the # of players left to act)=% of time your 77 is not best.