The winner of a Python odd/even game is determined by determining if the total of the selected numbers is odd or even. Usually, one player chooses "odd" while the other chooses "even." Following the input of numbers by both players, the sum is computed, and the outcome determines the winner.

Here’s a simple approach in Python:

def odd_even_game(player1_choice, player2_choice, num1, num2):
    total = num1 + num2
    result = "Odd" if total % 2 != 0 else "Even"
    
    if result.lower() == player1_choice.lower():
        return "Player 1 wins!"
    else:
        return "Player 2 wins!"

# Example usage
print(odd_even_game("odd", "even", 3, 4))  # Player 2 wins!

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