An MP3 player is loaded with 60 musical selections: 35 rock selections, 20 jazz

Question

An MP3 player is loaded with 60 musical selections: 35 rock selections, 20 jazz selections, 5 blues selections. The player is set on “random play”, so selections are played randomly and can be repeated. Complete a through e.

a. What is the probablity of the event that the first four selections are all jazz? The probablity is _______. (Round to four decimal places as needed.)

b. What is the probablity of the event that the first five selections are all blues? The probability is ______. (Round to five decimal places as needed.)

c. What is the probablity of the event that the first selectgion is jazz and the secound is rock? The probablity is _______. (Round to three decimal places as needed.)

d. What is the probablity of the event that among the first four selections, none is rock? The probablity is ______. (Round to four decimal places as needed.)

e. What is the probablity of the even that the second selection is the same song as the first? The probablity is ______. (Round to four decimal places as needed.)

Explanation / Answer

a)

Probability = (20/60)^4= 0.0123

b)

Probability = (5/60)^5 = 0.000004

c)

Probability = 20/60 * 35/59 = 0.1977

d)

Probability = 1 - [35/60]^4 = 0.8842

e)

Probability will be

if 1 song is jazz = 20/60 * 20/60 = 0.111

if 1 song is blue = 5/60 * 5/60 = 0.0069

if 1 song is rock = 35/60 * 35/60 = 0.3403

Probability is = 0.111 + 0.0069 + 0.3403 = 0.4582

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