There are two main parking lots in the downtown area of a growing city in Florida. One lot is publicly operated and the other is privately owned. On any given weekday, the probability that the public lot is not full is 0.20 and the probability that the private lot is full is 0.50. At least one of the two garages is full 90% of the time. A group of tourists from Brazil have just found that the public lot is full upon arriving downtown. They are trying to determine whether they should drive to the private lot or find parking on the outskirts of the city and ride the bus back to the city center. If there is more than 50% chance that the private lot is full, then they will not bother trying to find parking downtown. They would like to know the likelihood that they will find parking in the private lot given that the public lot is full. They have approached you for help. What do you tell them? Draw a Venn Diagram to help you solve the problem. Hint: Use conditional probabilities