>>103352448
>>103352665
import random
def generate_child():
"""Generate a random child with a random gender and day of birth."""
gender = random.choice(["Boy", "Girl"])
day = random.choice([
"Monday", "Tuesday", "Wednesday", "Thursday", "Friday", "Saturday", "Sunday"
])
return gender, day
def create_two_children():
"""Create a family with two children."""
return [generate_child() for _ in range(2)]
def calculate_probability(total_families=3000000):
"""Simulate the probability problem with the specified number of families."""
matching_families = 0
boy_sibling_count = 0
families = [create_two_children() for _ in range(total_families)]
for family in families:
if any(child[0] == "Boy" and child[1] == "Tuesday" for child in family):
matching_families += 1
sibling = family[1] if family[0][0] == "Boy" and family[0][1] == "Tuesday" else family[0]
if sibling[0] == "Boy":
boy_sibling_count += 1
if matching_families == 0:
print("No matching families found.")
return
probability = boy_sibling_count / matching_families
print(f"The probability is {probability:.5f}")
# Run the simulation with 3,000,000 families
calculate_probability()
Spat out 0.48162 probability, so apparently 13/27 is correct.
But I don't understand math so I don't know why this is true.
