A radio station plays Samantha’s favorite song 6 times each day at random times between 8:00 a.m. and 5:00 p.m. The song is 5 minutes long. If Samantha turns on the radio at a random time between 8:00 a.m. and 5:00 p.m., what is the probability that her favorite song will be playing at that time?

First from 8:00 a.m to 5:00 p.m it is 9 hrs.
In 1 hr there is 60 mins so

[tex] \frac{60}{5} = 12[/tex] songs per hr

so in 9 hrs

[tex]9(12)=108 [/tex] songs from 8:00 am to 5:00 pm

and the song plays 6 time from 8:00 am to 5:00 pm

So the probability is:

[tex]P= \frac{6}{108} [/tex] [tex]or[/tex] 5.55%

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