In PYTHON use a Monte Carlo Simulation to write a code that gives the probability that in a classroom of x people, at least 2 will be born on the same day of the year, ignoring leap year?
The number of people in the class is given by the user as variable x.
Here is the code outline that is needed to answer this question. Please use it in your answer:
import math
import random
# create and initialize frequency table:
ft = []
k = 0
while(k < 365)="">
ft.append(0)
k = k+1
# Allow the user to determine class size:
print("Please type in how many people are in the class: ")
x= int(input())
success = 0
# Simulate:
c = 0
while(c < 10000)="">
# Step 1: re-initialize birthday frequency table (it must be re-initialized for each play-through (why?):
k = 0
while(k < 365)="">
ft[k] = 0
k = k+1
# Step 2: randomly get x birthdays and update frequency table:
k = 0
while(k <>
# your code goes here ##########################
k = k+1
# Step 3: Check to see if this class has at least two people with same b-day and update success appropriately
k = 0
while(k <>
# your code goes here #########################
k = k+1
c = c+1
print("The probability that in a class of ", end="")
print(x , end="")
print(" people, at least two have the same birthday is: " , end="")
print(success/10000)