2. Target has a nationwide sale on juice boxes next weekend. Consider the following events: A: The San Jose Target sells 200 cases of juice boxes B: The San Jose Target sells more than 100 cases of juice boxes C: The San Jose Target sells fewer than 50 cases of juice boxes D: The Los Angeles Target sells more than 150 cases of juice boxes E: The Los Angeles Target sells less than 75 cases of juice boxes a) Identify two events that are mutually exclusive. b) Identify two events that are independent. c) Identify two events that are neither mutually exclusive nor independent.

3. What are the first three laws of probability?

4. You are using an unreliable Wi-Fi connection. You send three emails - one to your bank, one to a magazine, and one to your professor. Each email has an 96% chance of going through, independently of whether the other emails go through. a. What is the chance that all three emails go through? b. What is the chance that the emails to the bank and magazine go through but not the one to your professor? c. What is the chance that exactly two emails go through?