On a Christmas tree farm, the probability that a tree will be cut is 0.72. The probability that a tree has a fungal disease is 0.16. The probability that a tree has the disease and will be cut is 0.07.

a) Draw a Venn diagram that shows the events "cut" and "disease." Include the probability associated with each space in the diagram.

b) Find the probability that a tree will be cut or has the disease.

c) Find the probability that a tree will be cut given that it has the disease.

d) Find the probability that a tree will be cut given that it does not have the disease.

e) Is a tree more likely to get cut if it has the disease or if it does not have the disease?