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 0.10 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
A) 0.027  B) 0.271  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 = 0.1   Tune to A, don't find he like what they are airing, then tune to 0.271 and likes what he finds there = 0.9 * 0.1= 
<gadget id="calculator">0.9 * 0.1</gadget>
<output>0.09</output>
0.09   Tune to A, finds crap there, Tune to 0.271, hears a similar crap, Tune to C and finally falls in love with the program= 0.9^2 * 0.1 = 0.081   Total = 0.271   Ans 0.271
<result>B</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 0.10 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?