1. Abby, Barry, Carmen, Desi, and Eduardo are members of a French language club. (a) Two members of the club will be randomly chosen to take a trip to Paris. Write down the sample space of all possible choices of two of the five names. (you can abbreviate the names A, B, C, D and E). (b) The club must choose a president and treasurer. Write down the sample space of all possible choices of a president and treasurer. (Your answer should be different from your answer in part (a). ) 2. Determine whether these events are mutually exclusive. (a) Roll a die: get a prime number and get an odd number. (b) Select any high school course: the course is Calculus and the course is English. 3. A box of donuts are bought containing 15 glazed, 10 chocolate, and 6 jelly. (Remember we do not replace what we touch.) (a) What is the probability you randomly select a jelly or a chocolate donut? (b) If you select 2 donuts randomly, what is the probability you select a glazed first and then you select a chocolate donut