problem1.py

from random import random


def create_transmitted_message(prob):
  num = random()
  message = 0 if num <= prob else 1
  return message


def create_received_signal(message, e_0, e_1):
  num = random()
  if message == 0:

    if num <= e_0:
      signal = 1
    else:
      signal = 0
  else:
    if num > e_1:
      signal = 1
    else:
      signal = 0
  return signal

e_0_prob = 0.01
e_1_prob = 0.02
num_experiments = 10000
num_failures = 0
for _ in range(num_experiments):
    message = create_transmitted_message(e_0_prob)
    signal = create_received_signal(message, e_0_prob, e_1_prob)
    if message != signal:
        num_failures += 1
probability_of_failure = num_failures / num_experiments

print("Probability of failure:", probability_of_failure)