import random
import numpy as np

bowl1 = 0
bowl2 = 0
bowl3 = 0
prop1 = np.array ([])
probBowl1 = np.array ([])
prop2 = np.array ([])
probBowl2 = np.array ([])
prop3 = np.array ([])
probBowl3 = np.array ([])
bolatepat1 = 0
bolatepat2 = 0
bolatepat3 = 0
for i in range (1,10001):
    bowl = random.randint(1,6)
    if (bowl==1 or bowl ==2):
        bowl1+=1
        ball = random.randint(1,6)
        if (ball==1 or ball==2):
            bolatepat1 += 1
            temp1 = np.divide (bolatepat1, i)
            temp2 = np.divide (bowl1, i)
            temp3 = np.multiply (temp1,temp2)
            prop1.append(temp3)
            sum = prop1 + prop2 + prop3
            probBowl1 = np.divide (prop1, sum)
            probBowl1.append(probBowl1)
        else:
            temp1 = np.divide (bolatepat1, i)
            temp2 = np.divide (bowl1, i)
            temp3 = np.multiply (temp1,temp2)
            prop1.append(temp3)
            sum = prop1 + prop2 + prop3
            probBowl1 = np.divide (prop1, sum)
            probBowl1.append(probBowl1)
        prop2.append (0)
        prop3.append (0)
    elif(bowl==3):
        bowl2+=1
        ball = random.randint(1,6)
        if (ball==1 or ball==2):
            bolatepat2 += 1
            prop2.append(bolatepat2/i)
        else:
            prop2.append(bolatepat2/i)
        prop1.append (0)
        prop3.append (0)
    elif (bowl==4 or bowl ==5 or bowl ==6):
        bowl3+=1
        ball = random.randint(1,6)
        if (ball==1 or ball==2):
            bolatepat3 += 1
            prop3.append(bolatepat3/i)
        else:
            prop3.append(bolatepat3/i)
        prop1.append(0)
        prop2.append (0)

print (probBowl1[len(probBowl1)-1])