#The formula for the geometric distribution probability: (P(X = k) = (1-p)^{k-1}p),
# Define the probability of success on a single trial
p = 1/3

# Initialize the probability of finding the first defect in the first 5 inspections
prob = 0

# Loop over the first 5 inspections
for k in range(1, 6):
  # Calculate the probability of finding the first defect on the k-th inspection
  prob_k = (1-p)**(k-1) * p

  # Add this probability to the total probability
  prob += prob_k

# Print the final probability
print(round(prob, 3))