import random
N = 1000
handcount = 0
for game in range(N):
Awins = 0
Bwins = 0
while (Awins < 2) and (Bwins < 2):
handcount += 1
choices = ["Rock", "Paper", "Scissors"]
A = random.choice(choices)
B = random.choice(choices)
if A == B:
Awins = Bwins = 0
elif ((A == "Rock") and (B == "Scissors")) or ((A == "Scissors") and (B == "Paper")) or ((A == "Paper") and (B == "Rock")):
Awins = Awins+1
Bwins = 0
else:
Bwins = Bwins+1
Awins = 0
print((handcount/1000.0))