ten_coin_problem.py

''' There are ten coins, each blank on one side and numbered on the other side with numbers 1 through 10. 
    All ten coins are tossed and the sum of numbers landing face up is calculated. What is the probability that this sum is at least 45?
    '''

import random

def toss_coin (x):
        coin = random.choice ([0,x]) #a discrete uniform distribution between values of a sequence, in this case 2 values possible.
        return (coin)

count = 0
n = 1000000
for i in range (n):  # montecarlo method
    somma_total = 0
    for i in range (1,11):
        somma_coin = 0
        for k in range (1):
            somma_coin = somma_coin + toss_coin(i)
        somma_total = somma_total + somma_coin
    if somma_total >= 45:
        count += 1
print ('Probability that sum is at least 45 : ', float(count / n))