Heaviest Weight, Heavier Pan

Eight distinct weights, 101 g through 108 g, are split uniformly at random into two pans of four. This program counts how often the pan holding the 108 g weight comes out strictly heavier:

from itertools import combinations

weights = list(range(101, 109))
total = wins = 0
for pan in combinations(weights, 4):
    if 108 not in pan:
        continue                       # count every split once
    other = [w for w in weights if w not in pan]
    total += 1
    if sum(pan) > sum(other):
        wins += 1

print(total, wins, round(wins / total, 3))

It prints the size of the sample space, then the number of wins, then a probability. What is that probability? Answer format: round to 3 decimal places.