In order to escape the cool temperatures of Kalamazoo you have decided to fly to sunny Las Vegas. Unfortunately for you, a storm has rolled in and may delay your departure. The airport staff has notified you that there is a 30% chance the flight will be delayed. Due to your tight schedule if your flight is delayed there is a 65% chance you will be late to your poker tournament. However, due to the traffic in Las Vegas there is still a 10% chance you will be late to the tournament even if your plane takes off on time. Using this information answer the following questions:
A. Construct a Tree Diagram for the probabilities listed above
B. What is the probability that your flight is delayed but you are on time to the tournament?
C. What is the probability that you arrive late to the tournament?
D. Given that you arrive on time to the tournament what is the probability that your flight was delayed?