# simulacion tiradas de dos dados equilibrados
# se calcula la probabilidad de que la suma sea menor a 11
# teoricamente deberia ser ~0.916 (por LAPLACE)

from random import random
from math import modf

sim_iter=10000
sim_vect=[[random(), random()] for i in range(sim_iter)]

def num_to_face(n):
    return int(modf((n*6)+1)[1])

n_salio=0
for i, j in sim_vect:
    if num_to_face(i)+num_to_face(j) < 11:
        n_salio += 1

print(n_salio/sim_iter)