Euler #205

d6sums = [0]*31
d4sums = [0]*28
d6total = 6**6
d4total = 4**9
for a in range(1, 7):
    for b in range(1, 7):
        for c in range(1, 7):
            for d in range(1, 7):
                for e in range(1, 7):
                    for f in range(1, 7):
                        total = a+b+c+d+e+f
                        d6sums[total-6] += 1
for a in range(1, 5):
    for b in range(1, 5):
        for c in range(1, 5):
            for d in range(1, 5):
                for e in range(1, 5):
                    for f in range(1, 5):
                        for g in range(1, 5):
                            for h in range(1, 5):
                                for i in range(1, 5):
                                    total = a+b+c+d+e+f+g+h+i
                                    d4sums[total-9] += 1

d4sums = [0, 0] + d4sums
totalprobability, runningtotal, iterable = 0, 0, 0
for a in d4sums:
    runningtotal += d6sums[iterable]
    iterable += 1
    totalprobability += (runningtotal/d6total*a/d4total)
print(totalprobability)