Tic Tac Toe Game

Introduction

Tic Tac Toe, inspired by the classic game, is also available as a casino variant. It’s reportedly featured at Coushatta casino Resort in Kinder, LA. Players can place bets on X, O, or a tie outcome. The game involves drawing cards marked X or O on a tic-tac-toe grid, determining the winning result through this randomized process.

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Rules

The rules for Tic Tac Toe casino game are as follows:

  1. Objective: The objective is to predict the outcome of the drawn cards on a tic-tac-toe grid.
  2. Bets: Players place bets on one of three options: X, O, or a tie.
  3. Drawing Cards: Cards marked with X or O are randomly drawn and placed on the grid.
  4. Winning: If the drawn cards create a winning line vertically, horizontally, or diagonally on the grid, corresponding to the player’s chosen bet, that player wins.
  5. Payouts: Payouts are awarded according to the odds associated with each bet.
  6. Tie: If the grid fills without a winning line, and no tie bet was placed, the round is considered a tie, and bets are returned.

Probability Analysis

The table displays the likelihood of 0 to 9 X cards and the probability of a tie corresponding to the number of Xs. The first column indicates the count of Xs out of 9. The second column denotes the probability of obtaining the specified number of Xs. The third column showcases the conditional probability of a tie based on the number of Xs. The fourth column presents the product of the second and third columns. Finally, the bottom-right cell highlights a 6.3735% probability of a tie.