Christine Danes has asked Dave and Mike to help her move into a new apartment on Sunday morning. She has asked them both in case one of them does not show up. From past experience, Christine knows that there is a 60% chance that Dave will show up and a 70% chance that Mike will show up. The chance that both will show up is 40% . a. What is the probability at least one of them will show up? b. What is the probability that Dave will show up if Mike shows up? c. Are the two events that Dave will show up and Mike will show up are mutually exclusive? Explain. d. Determine the event that Dave will show up depends on whether if Mike shows up. Explain using probabilities. .