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 0.50 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?
Choose the correct option.
A) 0.027 B) 0.09 C) 0.417 D) 0.657 E) 0.875
Probability he hears a song is like:   Tune to A and likes what he is hearing = 0.5   Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.5 * 0.5= 
<gadget id="calculator">0.5 * 0.5</gadget>
<output>0.25</output>
0.25   Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program= 0.5^3 = 0.125   Total = 0.875   Ans 0.875
<result>E</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 0.50 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?