Infinitely many people gather to wrap their heads around a coin-flipping game

coingame.py

# Game: n people, each person flips a coin until they get heads
# Question: what is the ratio of heads after the game ends?

n = 1024

heads = 0
tails = 0

# how many rounds does each game last on average (just for fun):
iterations = 0

# number of game simulations to run:
runs = 1024

for run in range(runs):
    m = n
    while m > 0:
        for i in range(m):
            if random.random() < 0.5:
                heads += 1
            else:
                tails += 1
                m -= 1

        iterations += 1

# Answer: there is an equal amount of heads and tails
print('avg. iterations: ', iterations / runs, ', % heads', (100 * heads / (heads + tails)))