n or 1 ( 10 complete) 4.43 You look over the songs in a jukebox and determine th

Question

n or 1 ( 10 complete) 4.43 You look over the songs in a jukebox and determine that you like 17 of the 53 songs (a) What is the probability that you like the next four songs that are played? (Assume a song cannot be repeated b) What is the probability that you do not like the next four songs that are played? (Assume a song cannot be repeated) (a) The probability that you like the next four songs that are played is Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer 1 Pemaining part

Explanation / Answer

(a) The probability that you like the next song is 17/53. The probability that you like the second song is 16/52, because one liked song is already played and there are only 16 songs in the jukebox that you like among 53-1 = 52 songs. So, using the same logic,

Probability that you like the next four songs that are played = (17*16*15*14)/(53*52*51*50) = 0.008127.

(b) The probability that you dont like the next song is (53-17)/53 = 36/53. The probability that you dont like the second song is 35/52, because one not liked song is already played and there are only 35 songs in the jukebox that you dont like among 53-1 = 52 songs. So, using the same logic,

Probability that you dont like the next four songs that are played = (36*35*34*33)/(53*52*51*50) = 0.20116.

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