Suppose you just purchased a digital music on your player, each of the 14 songs

Question

Suppose you just purchased a digital music 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 O Yes No (b) The probability that you like neither song is 0.495 . (Round to three decimal places as needed.) (c) The probability that you like exactly one song is (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer parts remaining Library 12

Explanation / Answer

Solution:

Total number of songs = 14
Number of like songs = 4
Number of unlike songs = 14-4 = 10

a) P(You like both of them) = 4/14 * 3/13 = 0.065
Since 0.065 > 0.05, this is usual.

b) P(You like neither of them) = 10/14*9/13 = 0.495

c) P(You like exactly one of them) = (4/14*10/14)+(10/14 * 4/13) = 0.424

(d)
a) P(You like both of them) = 4/14*4/14 = 0.08
Since 0.08 > 0.05, this is usual

b) P(You like neither of them) = 10/14 *10/14 = 0.51

v) P( You like exactly one of them) = (4/14*10/14) +(10/14*4/14) = 0.41

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