Question: Magistrate's Court District Judges Cases of a particular district are assigned to district judges (Magistrate's Court) randomly. The list of the district judges for Western District (UK) (taken from the Courts and Tribunals Judiciary website, www.judiciary.gov.uk), is given in the table. Assume that only Callaway, Goozee, and Lorrain Morgan are females and the rest are males. If you were a defense attorney in the Western District, you might be interested in whether the judge assigned to your case was a male or a female.
Arnold
Bopa Rai
Brown
Callaway
Simon Cooper
Gillibrand
Goozee
Lorrain Morgan
David Huw Parsons
Suppose the names are in a pot, and a clerk pulls a name out at random.
a. List the equally likely outcomes that could occur; last names are enough.
b. Suppose the event of interest, event A, is that a judge is a man. List the outcomes that make up event A.
c. What is the probability that one case will be assigned to a male judge.
d. List the outcomes that are in the complement of event A.