import numpy as np
from random import choice
import matplotlib.pyplot as plt
al = [(x,x+1/15) for x in np.arange(0,1,1/15) ]
def ex(N):
    n = 0
    for i in range(N):
        x = np.random.uniform(0,1)
        a1,a2,a3 = choice(al),choice(al),choice(al)
        if (x>a1[0] and x<a1[1]) or (x>a2[0] and x<a2[1]) or (x>a3[0] and x<a3[1]):
            n += 1
    return n/N
a1 = [1,100,1000,10000,100000]
a2 = [ex(i) for i in a1]
plt.plot(a1,a2)
plt.show()