• Ketchup: 0.2;
• Mustard: 0.6;
• Both ketchup and mustard: 0.12

Let K be the event that a customer orders ketchup and let M be the event that a customer orders mustard.

(a) Are the events K and M mutually exclusive? [1 mark]

Enter 1 for Yes, or 0 for No.

(b) Are the events K and M independent? [1 mark]

(c) What is the probability that a customer orders ketchup or mustard or both? [1 mark]

(d) What is the probability that a customer orders neither ketchup nor mustard? [1 mark]

(e) Suppose that a customer orders mustard. What is the probability that he then orders ketchup? [1 mark]