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?



8am - 5pm is 9 hrs. 
9 * 60 = 540 mins. hence, there are 540 mins in that part of the day. or the total mins. 
then find the mins taken by the song. 

5 mins * 6 times = 30 mins. 

so  \frac{30}{540}
   thus, simplify  \frac{1}{18}