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?\na = {mopn, pmon}\na = {opmn, ompn}\na = {mopn, mpon, opmn, pomn}\na = {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?\na = {mopn, pmon}\na = {opmn, ompn}\na = {mopn, mpon, opmn, pomn}\na = {mopn, mpon, pmon, pomn}

Answer

Answer:

D. A = {MOPN, MPON, PMON, POMN}

Explanation:

Step1: Identify total skaters

There are 4 skaters: Marco, Naim, Oliver, Pedro with Naim fixed as last.

Step2: Consider first - skater condition

We want the complement of Oliver being first. So first - skater can be Marco or Pedro.

Step3: List possible arrangements

When Marco is first: MOPN, MPON. When Pedro is first: PMON, POMN. So the set A = {MOPN, MPON, PMON, POMN}.