identifying the sample space of the complement of an event\nfour swimmers, daniela, camille, brennan, and…

identifying the sample space of the complement of an event\nfour swimmers, daniela, camille, brennan, and amy, compete on a relay team. for the first race of the year, daniela begins the relay. the other three swimmers can swim in any order. the sample space, s, for the event is shown below.\ns = {cba, cab, bac, bca, acb, abc}\nafter the first race, it is determined that camille is a strong finisher and should be the final swimmer in the race.\nwhat subset, a, of the sample space represents the complement of the event in which camille is the final swimmer?\na = {cba, cab, bca, acb}\na = {abc, bac}\na = {cba, cab, bac, bca, acb, abc}\na = {ab, ba}
Answer
Answer:
A. A = {CBA, CAB, BAC, BCA, ACB}
Explanation:
Step1: Understand the event
The event is Camille as final - swimmer.
Step2: Analyze the sample - space
The sample space S = {CBA, CAB, BAC, BCA, ACB, ABC}.
Step3: Find the complement
The complement of Camille being the final swimmer are all elements in S where Camille is not the last letter. So, A = {CBA, CAB, BAC, BCA, ACB}.