Suppose you just purchased a digital music player and have put 14 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of the 14...


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Suppose you just purchased a digital music player and have put 14 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each<br>of the 14 songs is played once in random order. Find the probability that among the first two songs played<br>(a) You like both of them. Would this be unusual?<br>(b) You like neither of them.<br>(c) You like exactly one of them.<br>(d) Redo (a)-(c) if a song can be replayed before all 14 songs are played.<br>(a) The probablility that you like both songs is<br>(Round to three decimal places as needed)<br>

Extracted text: Suppose you just purchased a digital music player and have put 14 tracks on it. After listening to them you decide that you like 4 of the songs. With the random feature on your player, each of the 14 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 14 songs are played. (a) The probablility that you like both songs is (Round to three decimal places as needed)

Jun 10, 2022
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