Suppose you just purchased a digital music player and have put 15 tracks on it. After listening to them you decide that you like 2 of the songs. With the random feature on your player, ead of the 15 songs is played once in random order. Find the probability that among the first two songs played (a) You like both of them. Would this be unusual? (b) You like neither of them. (c) You like exactly one of them.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Suppose you just purchased a digital music player and have put 15 tracks on it. After listening to them you decide that you like 2 of the songs. With the random feature on your player, each
of the 15 songs is played once in random order. Find the probability that among the first two songs played
(a) You like both of them. Would this be unusual?
(b) You like neither of them.
(c) You like exactly one of them.
(d) Redo (a)-(c) if a song can be replayed before all 15 songs are played.
(a) The probablility that you like both songs is
(Round to three decimal places as needed.)
Transcribed Image Text:Suppose you just purchased a digital music player and have put 15 tracks on it. After listening to them you decide that you like 2 of the songs. With the random feature on your player, each of the 15 songs is played once in random order. Find the probability that among the first two songs played (a) You like both of them. Would this be unusual? (b) You like neither of them. (c) You like exactly one of them. (d) Redo (a)-(c) if a song can be replayed before all 15 songs are played. (a) The probablility that you like both songs is (Round to three decimal places as needed.)
Expert Solution
Step 1

Given :

Total songs =15

Number of songs you like=2

Number of songs you dislike =13

 

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