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You look over the songs in a jukebox and determine that you like 18 of the 52 songs. (a) The probability that you like the next four songs that are played is (Round to three decimal places as needed.) (b) The probability that you do not like any of the next four songs that are played is (Round to three decimal places as needed.)

Answer :

The prob(Like 1st song) =18/52

The Prob( like 2nd song) =17/51

The prob(Like 3rd song) = 16/50

The prob (Like 4rd song) = 15/49

Prob(Like next four songs) =

[tex]\frac{18}{52}\times\frac{17}{51}\times\frac{16}{50}\times\frac{15}{49}=0.0113\approx0.011[/tex]

The prob(You do NOT Like any of the next four songs) = 1 - prob(Like next four songs)

= 1 - 0.011 = 0.989

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