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 0.15 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?  Answers.
A) 0.027	B) 0.386	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 = 0.15   Tune to A, don't find he like what they are airing, then tune to 0.386 and likes what he finds there = 0.85 * 0.15= 
<gadget id="calculator">0.85 * 0.15</gadget>
<output>0.1275</output>
0.1275   Tune to A, finds crap there, Tune to 0.386, hears a similar crap, Tune to C and finally falls in love with the program= 0.85^2 * 0.15 = 0.1084   Total = 0.386   Ans 0.386
<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 0.15 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?