A Los Angeles-area radio station plays songs from a specific, fixed set of artists. The station has no DJ; instead, a computer randomly selects which songs to play. The songs themselves are picked randomly, and the same song may be played many times in a row. In the set of songs, 55% are sung by a female singer, 35% are sung by a male singer, and 10% are instrumental with no vocals. What is the probability that a song with a female singer, a song with a male singer, and an instrumental song will be played in that order?
