### Instruction: A polling company reports that there is a 20% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?
Answer Choices: (A) 10 (B) 8 (C) 6 (D) 4 (E) 5 Please write a program to solve it.### Response: # The probability that the candidate will win the election is 20%
win_probability = 20
# If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills
sign_X_probability = 60
# If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. So the probability of signing Bill Z is 50%
sign_Z_probability = 50
# The total probability that the candidate will sign Bill Z is the product of the three probabilities
total_probability = win_probability * (100 - sign_X_probability) * sign_Z_probability / 10000  # Divide by 10000 to convert from percentage to decimal
print(total_probability)