An MP3 player is loaded with 50 musical selections: 25 rock selections, 8 jazz s

Question

An MP3 player is loaded with 50 musical selections: 25 rock selections, 8 jazz selections, and 17 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 probability of the event that the first four selections are all jazz? The probability is(Round to four decimal places as needed.) b. What is the probability 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 probability of the event that the first selection is jazz and the second is rock? The probability is(Round to three decimal places as needed.) d. What is the probability of the event that among the first four selections, none is rock? The probability is (Round to four decimal places as needed.) e. What is the probability of the event that the second selection is the same song as the first? The probability is (Round to four decimal places as needed.)

Explanation / Answer

a) The probability of the event that the first 4 selections are all jazz = (8/50)4 = 0.164 =0.00065

b)  The probability of the event that the first 5 selections are all blues = (17/50)5 = 0.1156

c)  The probability of the event that the first selection is jazz and second is rock = (8/50)*(25/50) = 0.05

d) The probability of the event that among the four selections, none is rock = (25/50)4 = 0.0625

e) The probability of the event that the second selection is the same song as the first = (1/50)2 = 0.0004

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