3. Assume that for any given day, the probability of getting free pizza is 34%, the probability of getting free pizza on a sunny day is 40%, and the probability of free pizza on a not sunny day is 20%. a. What is the probability of a less than ideal day (no free pizza and no sun)? b. Are free pizza and sun independent events in this example? Provide a proof. c. If there was no free pizza, what is the probability that it was not sunny?