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?\no a = {mopn, pmon}\no a = {opmn, ompn}\no a = {mopn, mpon, opmn, pomn}\no 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?\no a = {mopn, pmon}\no a = {opmn, ompn}\no a = {mopn, mpon, opmn, pomn}\no a = {mopn, mpon, pmon, pomn}

Answer

Answer:

A = {MOPN, MPON, PMON, POMN}

Explanation:

Step1: Identify fixed - last skater

Naim is fixed as the last skater.

Step2: List all possible first - skater cases

The first skater can be Marco, Oliver, or Pedro.

Step3: Find complement of Oliver as first

When Oliver is not the first skater, the first skater can be Marco or Pedro. The possible arrangements with Naim last are MOPN (Marco first), MPON (Marco first), PMON (Pedro first), POMN (Pedro first). So the complement set of Oliver being first is {MOPN, MPON, PMON, POMN}.