from random import randint as rd
z = [0, 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1]
y = {}
for _ in range(1000000):
a = rd(1, 6)
b = rd(1, 6)
c= a + b
if c not in y:
y[c] = []
y[c].append((a, b))
else:
y[c].append((a, b))
y = dict(sorted(y.items()))
for k in y:
print("%2d: %6.4f (%6.4f)" %(k, len(y[k])/1000000, z[k]/36))
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