The fastest way to solve this is to recognize that P(Leo hears a song he likes) = 1 - P(Leo likes none of the songs)
What is P(Leo likes none of the songs)?
For Leo to like no songs he must dislike the song on station A AND dislike the song on station B AND dislike the song on station C
The probability that all three of these events happening is (0.7)(0.7)(0.7)
So, P(Leo hears a song he likes) = 1 - P(Leo likes none of the songs)
P(Leo hears a song he likes) = 1 - (0.7)(0.7)(0.7)
P(Leo hears a song he likes) = 0.657
The answer is D
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