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Last Updated: August 30, 2016

Poker Tournament Calculator

To use this calculator, enter the amount of each chip stack, and optionally any prize money for each place. If there are fewer than nine players, leave the last player positions empty. For example, if there are five players, fill in stack amounts for players 1 to 5 only. Do not skip positions, or you will get nonsensical results. Then click "calculate."

The program will calculate the probability of each player finishing in each possible position, 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 are 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. It was that article that caused me to write this application.


Written by: Michael Shackleford

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