Tournament EV question

[slickpoppa]

In a tournament with equally skilled opponents, the probability of a player finsishing 1st equals his fraction of the chips. But how do you calculate the probabality of a player finishing in 2nd, 3rd, etc.?
For example, with 4 player left with the following chips fractions (A=.1, B=.2, C=.3, D=.4), what is the prob of each finishing in 2nd, 3rd and 4th?

[MLG]

you guess. im not kidding.

[slickpoppa]

So you are saying that the question is inherently unsolvable? For some reason that doesn't seem right to me.