At a tech warehouse, automated drones deliver two types of packages each morning: 4 small packages and 2 large packages. The order in which the drones deliver these 6 packages is random. (a) How many different delivery sequences are possible each morning, considering all 4 small packages are identical while the 2 large packages are distinct? (2 marks) (b) Are the events A: “a small package is delivered first” and B: “a large package is delivered first” mutually exclusive? Explain. (2 marks) (c) Now assume instead the 4 small packages are identical, and the 2 large packages are still identical. How many different sequences of delivery are possible? (2 marks) (d) Now assume the 4 small packages are distinct and the 2 large packages are distinct. The logistics manager wants to choose a group (order does not matter) of 2 packages from the 6 packages. How many different groups of 2 packages are possible? (2 marks) (e) The logistics manager is choosing the group of 2 packages. If the manager chooses the first package in part (d) and it is a large package, what is the probability that the second package the manager chooses for the group of 2 is a small package? (2 marks)