On his drive to work, Leo listens to one of three radio stations A, B or X. 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 X. If X is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 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 choice from the following.
A) 0.027
B) 0.09
C) 0.417
D) 0.657
E) 0.9
Probability he hears a song is like:   Tune to A and likes what he is hearing = 0.3   Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.7 * 0.3= 
<gadget id="calculator">0.7 * 0.3</gadget>
<output>0.21</output>
0.21   Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to X and finally falls in love with the program= 0.7^2 * 0.3 = 0.147   Total = 0.657   Ans 0.657
<result>D</result>
On his drive to work, Leo listens to one of three radio stations A, B or X. 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 X. If X is playing a song he likes, he listens to it; if not, he turns off the radio. For each station, the probability is 0.30 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?