four swimmers, daniela, camille, brennan, and amy, compete on a relay team. for the first race of the year…

four 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. s = {cba, cab, bac, bca, acb, abc} after the first race, it is determined that camille is a strong finisher and should be the final swimmer in the race. what subset, a, of the sample space represents the complement of the event in which camille is the final swimmer? o a = {cba, cab, bca, acb} o a = {abc, bac} o a = {cba, cab, bac, bca, acb, abc} o a = {ab, ba}

four 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. s = {cba, cab, bac, bca, acb, abc} after the first race, it is determined that camille is a strong finisher and should be the final swimmer in the race. what subset, a, of the sample space represents the complement of the event in which camille is the final swimmer? o a = {cba, cab, bca, acb} o a = {abc, bac} o a = {cba, cab, bac, bca, acb, abc} o a = {ab, ba}

Answer

Explanation:

Step1: Identify event of Camille as final swimmer

The event where Camille is the final swimmer has arrangements where the last - letter is 'C'. In the sample space $S={CBA, CAB, BAC, BCA, ACB, ABC}$, the arrangements with 'C' at the end are $BAC$ and $ABC$.

Step2: Find the complement

The complement of an event contains all the outcomes in the sample space that are not in the event. So, the complement of the event where Camille is the final swimmer is the set of arrangements where 'C' is not the last - letter. That is ${CBA, CAB, BCA, ACB}$.

Answer:

A. ${CBA, CAB, BCA, ACB}$