Suppose you just purchased a digital music player aid haw put 9 tracks on it. Af

Question

Suppose you just purchased a digital music player aid haw put 9 tracks on it. After listening to them you decide that you like 3 of the songs. With the random feature on your player, each of the 9 songs is played once in random order. Find the probability that among the first two songs played You like both are them would this be unusual? You like neither of them. You like exactly one of them Redo (a)-(c) its song can be replayed before all 9 songs are played. The probability that you like both songs is (Round to three decimals places as needed.) Would it be unusual for you to like both of the songs? Yes No The probability that you like neither song is (Round to three decimal places as needed.) The probability that you like exactly one song is (Round to three decimal places as needed.) The probability that you like both songs is (Round to three decimal places as needed.) The probability that you like neither song is (Round to three decimal places as needed.) The probability that you like exactly one song is (Round to three decimal places as needed.)

Explanation / Answer

probability that you like both the songs =P(first song is among 3 you like*second song among rest of 2 you like)

=(3/9)*(2/8)=0.083

no it would not be unusual as probability of that is >0.05

b)probabilty that you like neither song=P(first song is among 6 you do not like*second song among rest of 5 you do not like) =(6/9)*(5/8)=0.417

c)probability that you like exactly one song=P(first sonf is among 3 you like*second sond song among 6 you do not like+first song among 6 you do not like*second song among 3 you like)

=(3/9)*(6/8)+(6/9)*(3/8)=0.5

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