1. Four musicians decide to form a band, and all they need is a name. They plan to form a four- letter name using the initials of their first names. Their names are Agnetha Kluwer, Anni-frid Erikssen, Bjrn Ingber, and Benny Andrews. a. List the sample space for all distinct arrangements of first initials. b. What is the probability that this group will be called ABBA? c. If they use last names instead, what is the probability that they are called IKEA? 2. Suppose three dice (d1, d2 and d3) are rolled together. a. What is the total number of elements in the sample space S? b. Compute the probabilities of the following events: i) The outcome of di is a prime number. (Note: 1 is not a prime.) ii) The total of all three dice is an odd number. iii) The outcomes of the first and third dice are same.