Anashville-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, 45% are sung by a female singer, 45% are sung by a male singer, and 10% are instrumental with no vocals. what is the probability that a particular set of 3 songs contains exactly 2 female singers and 1 male singer? (hint: be aware that there are multiple ways to achieve this pattern of songs.)

a. 279/8000
b. 2187/8000
c. 729/2000
d. 9/10