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.)

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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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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