Poker Calculator

To use this calculator enter the chip stacks of nine players and optionally any prize money for each place. You must enter some positive number of chips for each player. If there are fewer than nine players, then enter a very small number of the empty spots, like 0.001. Then click "calculate."

The program will output the probability of all nine players finishing in each of the nine possible positions, as well as his expected share of the prize pool.

Player Stacks:

Player 1:
Player 2:
Player 3:
Player 4:
Player 5:
Player 6:
Player 7:
Player 8:
Player 9:

Prize Money:

Place 1:
Place 2:
Place 3:
Place 4:
Place 5:
Place 6:
Place 7:
Place 8:
Place 9:

Player 1:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Player 2:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 =

Player 3:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Player 4:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Player 5:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Player 6:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Player 7:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Player 8:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Player 9:

Place 1 =
Place 2 =
Place 3 =
Place 4 =
Place 5 =
Place 6 =
Place 7 =
Place 8 =
Place 9 = .

Expected Win:

Player 1 =
Player 2 =
Player 3 =
Player 4 =
Player 5 =
Player 6 =
Player 7 =
Player 8 =
Player 9 =

Michael Shackleford, A.S.A.

Methodology: I assume all players are of equal skill. The math is the same as if it were a coin flipping tournament, where chips transferred between players randomly. Except once a player is knocked out, he is permanently out. The program uses nine nested loops to determine the probability each player finishing in each place. The results match those produced by the Independent Chip Model, which is mentioned in the article Amir Lehavot Selling Action For World Series Of Poker Main Event Final Table.