mathmatics of strategy: contradiction?

[ QUOTE ]

As more and more players call you, your chances of winning can decline faster than the pot increases.

Suppose, for example, that four players call you with four different suited hands. Now any three-suited board beats you. It's the negative correlation between their hands that kills you. The same thing is true to a lesser degree if they are just holding different ranks.

Of course, all four players might be suited in the same suit, or holding the same ranks. But this is less likely than the opposite.


[/ QUOTE ]


OK this makes sense, but like the original poster said what is the math that backs it up?

My math is pretty poor in this area so I may be wrong but I think:

If your at a table with 10 people and you hold AA and everyone goes all in, your chance of winning is pretty slim , but this still gives you better positive odds because your getting 9:1 on your money and I think you will win more than %11 of the time, I'm not sure on the actuall math but I think thats what the original poster was asking for.