1. There are 1000 juniors in a college. Among the 1000 juniors, 400 students are taking STAT200, and 700 students are taking PSYC300. There are 200 students taking both courses.  Let S be the event that a randomly selected student takes STAT200, and P be the event that a randomly selected student takes PSYC300. Show all work.

(a) Provide a written description of the complement event of (S OR P).

(b) What is the probability of complement event of (S OR P)?

2. Consider rolling a fair 6-faced die twice. Let A be the event that the sum of the two rolls is equal to 7, and B be the event that the first one is an odd number.

(a) What is the probability that the sum of the two rolls is equal to 7 given that the first one is an odd number? Show all work.

(b) Are event A and event B independent? Explain.

3. Answer the following two questions. Show all work.

(a) UMUC Stat Club is sending a delegate of 2 members to attend the 2018 Joint Statistical Meeting in Vancouver. There are 10 qualified candidates. How many different ways can the delegate be selected?

(b) A bike courier needs to make deliveries at 5 different locations. How many different routes can he take?