7. 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 a n 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. Just the answer, without supporting work, will receive no credit .

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

8 . Answer the following two questions . ( Show all work. Just the answer, without supporting work, will receive no credit ) .

(a) UMUC Stat Club is sending a delegate of 2 members to attend the 201 8 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 diffe rent locations. How many different routes can he take?