peter = [[1,2,3,4],
[1,2,3,4],
[1,2,3,4],
[1,2,3,4],
[1,2,3,4],
[1,2,3,4],
[1,2,3,4],
[1,2,3,4],
[1,2,3,4]]
nick = [[1,2,3,4,5,6],
[1,2,3,4,5,6],
[1,2,3,4,5,6],
[1,2,3,4,5,6],
[1,2,3,4,5,6],
[1,2,3,4,5,6]]
sum_peter = {}
sum_nick = {}
for i in range(6,37):
sum_peter[i] = 0
sum_nick[i] = 0
for a in range (4):
for b in range(4):
for c in range(4):
for d in range(4):
for e in range(4):
for f in range(4):
for g in range(4):
for h in range(4):
for i in range(4):
sum = peter[0][a]+peter[1][b]+peter[2][c]+peter[3][d]+peter[4][e]+peter[5][f]+peter[6][g]+peter[7][h]+peter[8][i]
sum_peter[sum] += 1
for a in range (6):
for b in range(6):
for c in range(6):
for d in range(6):
for e in range(6):
for f in range(6):
sum = nick[0][a]+nick[1][b]+nick[2][c]+nick[3][d]+nick[4][e]+nick[5][f]
sum_nick[sum] += 1
pwins = 0
for n in range(6,36):
for p in range(n+1,37):
pwins += sum_nick[n]*sum_peter[p]
print(pwins/(4**9*6**6))