more boy births in a small hospital vs big hospital per day

births.py

'''
A silly math question posed in our discord: There are two hospitals in a city, 
a small and a bigger one. In which of them is the likelihood higher of 
more boys than girls being born in one day?
(Provided that girls and boys are on average born equally frequently).
src: https://twitter.com/wagieeacc/status/1712958038871552020
'''
import random
SIMULATIONS = 1000

def simulate(beds):
    total = 0
    for i in range(beds):
        coin = random.randrange(0,2)
        if coin > 0:
            total += 1
    # print(total)
    if total > beds // 2:
        return 1
    return 0

# when there are only 4 beds
gb = 0
small_beds = 8
for i in range(SIMULATIONS):
    gb += simulate(small_beds)
print(f'number of greater boys in {small_beds} beds hosptial is {gb} out of 1000')

gb = 0
big_beds = 256
for i in range(SIMULATIONS):
    gb += simulate(big_beds)
print(f'number of greater boys in {big_beds} beds hosptial is {gb} out of 1000')

'''
Output:
number of greater boys in 8 beds hosptial is 361 out of 1000
number of greater boys in 256 beds hosptial is 473 out of 1000
'''