four speed skaters, marco, naim, oliver, and pedro, compete in a relay race where they all agree that naim…

four speed skaters, marco, naim, oliver, and pedro, compete in a relay race where they all agree that naim will be the last skater. then, they try to decide whether or not oliver should be the first skater in the race. which subset, a, of the sample space shows the complement of the event in which oliver is the first skater in the race? o a = {mopn, pmon} o a = {opmn, ompn} o a = {mopn, mpon, opmn, pomn} o a = {mopn, mpon, pmon, pomn}

four speed skaters, marco, naim, oliver, and pedro, compete in a relay race where they all agree that naim will be the last skater. then, they try to decide whether or not oliver should be the first skater in the race. which subset, a, of the sample space shows the complement of the event in which oliver is the first skater in the race? o a = {mopn, pmon} o a = {opmn, ompn} o a = {mopn, mpon, opmn, pomn} o a = {mopn, mpon, pmon, pomn}

Answer

Explanation:

Step1: Identify fixed - skater

Since Naim is the last skater, we only need to arrange the first two skaters among Marco, Oliver, and Pedro.

Step2: List total arrangements

The total arrangements of the first two skaters (with Naim last) are: If Oliver is first: OMPN, OPMN. If Oliver is not first: MOPN, MPON, PMON, POMN.

Step3: Determine complement

The complement of the event that Oliver is the first skater is the set of arrangements where Oliver is not the first skater.

Answer:

A = {MOPN, MPON, PMON, POMN}