Question

Kintsugi has the following songs on a playlist: 14 Hozier songs, 16 Lana Del Rey, and 17 Taylor Swift songs. What is the probability that the next song that plays is not Taylor Swift?

P(not T. Swift) =
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Answer 1

Total songs on playlist = 14 + 16 + 17
= 47

Number of songs not T swift = 14 + 16
= 30

Therefore the P( not t swift) = 30/47

Answer 2

`\sf P _{\textsf{(not T-swift })}\approx (30)/(47)\textsf{ or } 0.6383 \textsf{ or } 63.83\%`

Explanation:

The probability that the next song that plays is not Taylor Swift is:

`\sf P _{\textsf{(not T-swift })}= \frac{\textsf{Number of songs that are not Taylor Swift }}{\textsf{Total number of songs in the playlist }}`

In this case, there are:

• 14 Hozier songs
• 16 Lana Del Rey songs
• 17 Taylor Swift songs

So, the total number of songs in the playlist is 14 + 16 + 17 = 47 songs.

There are 14 + 16 = 30 songs that are not Taylor Swift.

Substituting value

`\sf P _{\textsf{(not T-swift })}\approx (30)/(47)\textsf{ or } 0.6383 \textsf{ or } 63.83\%`

`\sf \textsf{Therefore, the probability that the next song that plays is not Taylor Swift is:}`

`\sf \textsf{Approximately equal to }(30)/(47) , \textsf{ or } 0.6383, \textsf{ or }63.83\%.`