On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.25 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?
Choices:
A) 0.027  B) 0.09  C) 0.417  D) 0.578  E) 0.9
Probability he hears a song is like:   Tune to A and likes what he is hearing = 0.25   Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.75 * 0.25= 
<gadget id="calculator">0.75 * 0.25</gadget>
<output>0.1875</output>
0.1875   Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program= 0.75^2 * 0.25 = 0.1406   Total = 0.578   Ans 0.578
<result>D</result>
On his drive to work, Leo listens to one of three radio stations A, B or C. He first turns to A. If A is playing a song he likes, he listens to it; if not, he turns it to B. If B is playing a song he likes, he listens to it; if not, he turns it to C. If C is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.25 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo will hear a song he likes?