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Mathematics, 21.10.2019 23:40 bandnerd1

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a san francisco-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, 40% are sung by a female singer, 50% 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 male singers and 1 female singer? (hint: be aware that there are multiple ways to achieve this pattern of songs.)

a 1/10
b 3/20
c 2/10
d 3/10

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