in the upcoming clincher segment, they will sign her a seven- year contract regardless of how the rest of the competition turns out. Eager, Chaeyeon signs the deal, but soon learns that she needs to choose how the clincher segment will proceed. In this segment she will be facing against two other highly- rated dancers, Yena and Yuri, in a three-round dance battle. Each round consists of Chaeyeon competing against either of the two, but she can’t battle the same person consecutively. Therefore, she can compete with them in either of two successions: Yena – Yuri – Yena, or
in the upcoming clincher segment, they will sign her a seven- year contract regardless of how the rest of the competition turns out. Eager, Chaeyeon signs the deal, but soon learns that she needs to choose how the clincher segment will proceed. In this segment she will be facing against two other highly- rated dancers, Yena and Yuri, in a three-round dance battle. Each round consists of Chaeyeon competing against either of the two, but she can’t battle the same person consecutively. Therefore, she can compete with them in either of two successions: Yena – Yuri – Yena, or
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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Question
Chaeyeon is an up-and-coming dancer who has joined a televised dancing
competition to help boost her career. Due to her impressive performance in the
competition so far, a famous label has given her a promising deal: if Chaeyeon gets
two successive wins in the upcoming clincher segment, they will sign her a seven-
year contract regardless of how the rest of the competition turns out. Eager,
Chaeyeon signs the deal, but soon learns that she needs to choose how the clincher
segment will proceed. In this segment she will be facing against two other highly-
rated dancers, Yena and Yuri, in a three-round dance battle. Each round consists of
Chaeyeon competing against either of the two, but she can’t battle the same person
consecutively. Therefore, she can compete with them in either of two successions:
Yena – Yuri – Yena, or Yuri – Yena – Yuri. Chaeyeon knows that Yena is a much
better dancer than Yuri. Which of the two successions should Chaeyeon choose to
compete in? (HINT: Find a way to express the probability that Chaeyeon will win
against Yuri, against Yena.)
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