Suppose a compact disk (CD) you just purchased has 19 tracks. After listening to the CD, you decide that you like 7 of the songs. The random feature on your CD player will play each of the 19 songs once in a random order. Find the probability that among the first 5 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them. (a) Find the probability that among the first 5 songs played you like 2 of them. (Round to four decimal places as needed.) (b) Find the probability that among the first 5 songs played you like 3 of them. (Round to four decimal places as needed.) (c) Find the probability that among the first 5 songs played you like all 5 of them. (Round to four decimal places as needed.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 25E
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Suppose a compact disk (CD) you just purchased has 19 tracks. After listening to the CD, you decide that you like 7 of the songs. The
random feature on your CD player will play each of the 19 songs once in a random order. Find the probability that among the first 5 songs
played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them.
(a) Find the probability that among the first 5 songs played you like 2 of them.
(Round to four decimal places as needed.)
(b) Find the probability that among the first 5 songs played you like 3 of them.
(Round to four decimal places as needed.)
(c) Find the probability that among the first 5 songs played you like all 5 of them.
(Round to four decimal places as needed.)
Transcribed Image Text:Suppose a compact disk (CD) you just purchased has 19 tracks. After listening to the CD, you decide that you like 7 of the songs. The random feature on your CD player will play each of the 19 songs once in a random order. Find the probability that among the first 5 songs played (a) you like 2 of them; (b) you like 3 of them; (c) you like all 5 of them. (a) Find the probability that among the first 5 songs played you like 2 of them. (Round to four decimal places as needed.) (b) Find the probability that among the first 5 songs played you like 3 of them. (Round to four decimal places as needed.) (c) Find the probability that among the first 5 songs played you like all 5 of them. (Round to four decimal places as needed.)
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