Question

Asked Jun 16, 2019

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Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the second album consists of 13 songs by Cliff Richard, including "Congratulations and Celebrations", and the third album consists of 8 songs by John Denver. She programs the shuffle function on her iPod to randomly select 10 songs from the three albums, not repeating any of the songs.

Find the probability that in one run of the shuffle she will definitely listen to “Congratulations and Celebrations”, but no other Cliff Richards song.

Step 1

According to the given question, Jane has stored three albums on her iPod.

The first album consists of 11 songs by Frank Sinatra,

The second album consists of 13 songs by Cliff Richard, including "Congratulations and Celebrations", and

The third album consists of 8 songs by John Denver.

Therefore the total number of songs stored on her iPod is

(11+13+8=32)

She programs the shuffle function on her iPod to randomly select 10 songs from the three albums, not repeating any of the songs, then 10 songs can be reshuffle them self in

Step 2

Therefore the probability that in one run of the shuffle she will definitely listen to “Congratulations and Celebrations”, but no other Cliff Richards song.

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