What is the probability that Mike correctly identifies all 3 songs in the correct order?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.6: Permutations
Problem 31E
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Mike is taking a quiz in his music history class. The teacher writes the names of 5 songs on the
board, and then plays 3
songs out of the 5, one after the other in a random sequence. Mike then needs to identify each
of the songs in the sequence they were played. Suppose that Mike hasn't studied and is
randomly guessing the songs.
What is the probability that Mike correctly identifies all 3 songs in the correct order?
Transcribed Image Text:Mike is taking a quiz in his music history class. The teacher writes the names of 5 songs on the board, and then plays 3 songs out of the 5, one after the other in a random sequence. Mike then needs to identify each of the songs in the sequence they were played. Suppose that Mike hasn't studied and is randomly guessing the songs. What is the probability that Mike correctly identifies all 3 songs in the correct order?
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