I play a board game with my daughter called "Count Your Chickens". At the start, little chick tokens are scattered throughout the board and the objective is to get them all back in the coop. Each turn you spin a wheel with a number of farm-related items, which determines the number of spaces you move. The number of spaces you move determines the…

chick-game-sim.py

import numpy  as np

# Create spinner function
def spin():
    return np.random.randint(0,5)

spin_categories = {
    0: 'pig',
    1: 'dog',
    2: 'sheep',
    3: 'tractor',
    4: 'cow',
    5: 'fox'
}

# Define the playing board

space_labels = ['start', 'blank', 'sheep', 'pig', 'tractor', 'cow', 'dog', 'pig', 'cow', 'dog',
         'sheep', 'tractor', 'blank', 'cow', 'pig', 'blank', 'blank', 'blank', 'tractor','blank',
         'tractor', 'dog', 'sheep', 'cow', 'dog', 'pig', 'tractor', 'blank', 'sheep', 'cow',
         'blank', 'blank', 'tractor', 'pig', 'sheep', 'dog', 'blank', 'sheep', 'cow', 'pig',
         'end']
spaces = [x for x in range(41)]

board = dict(zip(spaces, space_labels))

# Define the board bonus spaces. If you land on one, you get an additional chick.

bonuses = [0] * len(board)
bonuses[4] = 1
bonuses[8] = 1
bonuses[22] = 1
bonuses[35] = 1
bonuses[39] = 1

# Set up the simulation loop

wins = 0
trials = int(1e5)

for i in range(trials):

    turns = 0
    position = 0
    chicks = 0

    while position < len(board) - 1 and chicks < 40:
        turns += 1
        spin = spin_categories[np.random.randint(0,len(spin_categories))]
        #spin = 'sheep'
        if spin == 'fox':
            if chicks > 0:
                chicks -= 1
        else:
            for x in range(position+1, len(board)):
                if board[x] == spin or board[x] == 'end':
                    chicks += (x - position + bonuses[x])
                    position = x
                    break
                else:
                    x += 1
        #print("turn: " + str(turns).ljust(2), "spin: " + spin.ljust(7), "chicks: " + str(chicks).ljust(2), "position: " + str(position))

    if position <= 40 and chicks >= 40:
        wins += 1

# Print the results

print("num wins: " + str(wins))
print("num trials: " + str(trials))
print("win ratio: " + str(wins/trials))
print("win/loss ratio: " + str((wins/(trials-wins))))