A music-streaming service offers both free and subscription options. Users can c

Question

A music-streaming service offers both free and subscription options. Users can create playlists and choose to use the service's random shuffling feature to play back the songs. When the shuffling feature was first introduced, many users complained that the algorithm was not working For example, in a playlist consisting of 2 songs by The White Stripes, 2 by Adele, and 1 by Maroon Five, two possible random orderings of the songs are given below. Complete parts a through g A = (Adele 1. Adele 2, White Stripes 1, Write Stripes 2. Maroon Five) B = (Adele 2. White Stripes 1. Maroon Five, White Stripes 2. Adele 1) a. Find the probability that Adele 1 is selected as the first song to play from the playlist. The probability is .2. (Simplify your answer.) b. Given that Adele 1 is selected as the first song, what is the probability that Adele 2 is selected as the second song to play from the playlist? The probability is .25. (Simplify your answer.) c. Given that Adele 1 and Adele 2 are the first two songs selected, what is the probability that White Stripes 1 is selected as the third song to play from the playlist? The probability is. (Simplify your answer.)

Explanation / Answer

a) as there are 5 songs probabilty that Adele 1 played first =1/5=0.2

b) for after playing Adele 1, there remain 4 songs ; hence probabilty =1/4 =0.25

c)after selecting first two songs there remain 3 sngs hence probability=1/3=0.333

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