from random import choice
import matplotlib.pyplot as plt
%matplotlib inline
from random import choice
urn1 = ["W" for _ in range(8)]
urn1 += ["B" for _ in range(3)]
urn2 = ["W" for _ in range(7)]
urn2 += ["B" for _ in range(8)]
def experiment(N):
    cnt = 0
    M = 0
    for _ in range(N):
        balls = []
        urn1_copied = urn1.copy()
        urn2_copied = urn2.copy()
        for _ in range(2):
            b = choice(urn2_copied)
            urn2_copied.remove(b)
            urn1_copied.append(b)
            balls.append(b)
        ch = choice(urn1_copied)
        if ch == "W":
            M += 1
            if balls[0] != balls[1]:
                cnt += 1
    return cnt / M
x = [i for i in range(1000,100000,1000)]
y = [experiment(i) for i in x]
plt.plot(x[3:],y[3:])
plt.plot([1,100000],[0.5373,0.5373],color = "red")
print(experiment(100000))