A Nashville-area radio station plays songs from a specific, fixed set of artists. The station has no DJ; instead, a computer ran
domly 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
There are 3 ways to get 2 female and 1 male singer. These 3 ways are <span>FFM, FMF and MFF </span> <span>Each of the three ways has probability 45% * 45% * 45% = 9.1125% </span> <span>As there are three ways multiply by 3 </span> <span> = 27.3375% hope it helps</span>
