Question 955404: On a certain radio station, every 3rd song played is "classic rock," and a prize is given away during every 4th song played. If a song is selected at random from 120 consecutive songs that the radio station will play one night, what is the probability that the song will be "classic rock" and that a prize will be given away during that song?
1/12
1/10
1/5
1/4
1/3
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i believe your solution is 1/12.
if every 3rd song is classic rock and every fourth song give a prize, then you will have classic rock playing and a prize given every 12th song.
this is because the least common multiple of 3 and 4 is equal to 12.
common multiples of 3 are 1,3,6,9,12,.....
common multiples of 4 are 1,4,8,12,......
12 is the least common multiple.
every 12th song will be classic rock and a prize will be given at the same time.
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