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crimeas [40]
3 years ago
10

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
Mathematics
1 answer:
m_a_m_a [10]3 years ago
3 0
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>
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