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

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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