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 0.40 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 options
A) 0.027  B) 0.09  C) 0.417  D) 0.784  E) 0.9
Probability he hears a song is like:   Tune to A and likes what he is hearing = 0.4   Tune to A, don't find he like what they are airing, then tune to B and likes what he finds there = 0.6 * 0.4= 
<gadget id="calculator">0.6 * 0.4</gadget>
<output>0.24</output>
0.24   Tune to A, finds crap there, Tune to B, hears a similar crap, Tune to C and finally falls in love with the program= 0.6^2 * 0.4 = 0.144   Total = 0.784   Ans 0.784
<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 0.40 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?