AnswersConcepts in Probability and Statistics ACumulative Exam — Cumulative examQuestion 30
30
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 30 • Concepts in Probability and Statistics A

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?

Answer
A
A = {MOPN, PMON}
B
A = {OPMN, OMPN}
C
A = {MOPN, MPON, OPMN, POMN}
D
A = {MOPN, MPON, PMON, POMN}

Explanation

Since Naim is always last, the possible relay orders are the six arrangements of Marco, Oliver, and Pedro before Naim. The orders with Oliver first are OMPN and OPMN. The complement contains all the other orders: MOPN, MPON, PMON, and POMN, which is choice D.

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