On his drive to work, Leo listens to one of 3 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 to B. If B is playing a song that he likes, he listens to it; if not, he turns to C. If C is playing a song he likes, he listens; if not, he turns off the radio. For each station, the probability is 0.3 that at any given moment the station is playing a song Leo likes. On his drive to work, what is the probability that Leo ill hear a song he likes?
a. 0.027
b. 0.09
c. 0.417
d. 0.657
e. 0.9
A - Plays Leo's songs
A' - Does not play leo's songs.
A + A'B + A'B'C = 0.3 + 0.7*0.3 + 0.7*0.7*0.3
Ans - D
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