Three radio stations decide to play the same song independently of one another. They each start playing the song randomly sometime between 12:00pm and 12:25pm.
(a) Find the probability that the song plays for the last time between 12:18pm and 12:22pm.
(b) Find the probability that all three are played between 12:05pm and 12:20pm.

Question

Three radio stations decide to play the same song independently of one another. They each start playing the song randomly sometime between 12:00pm and 12:25pm. 
(a) Find the probability that the song plays for the last time between 12:18pm and 12:22pm. 
(b) Find the probability that all three are played between 12:05pm and 12:20pm.

Quizplus · Accepted Answer

The Answer is (a) .96
(b) .216.

Three Radio Stations Decide to Play the Same Song Independently