Respuesta :
There are three ways to achieve the combination of one male singer, one female singer, and no voice instrumental
Male - Female - No Voice
Male - No Voice - Female
Female - Male - No Voice
Female - No Voice - Male
No Voice - Male - Female
No Voice - Female - Male
For each combination, the probabilities are
MFN = 0.45×0.4×0.15 = 0.027
MNF = 0.45×0.15×0.4 = 0.027
FMN = 0.4×0.45×0.15 = 0.027
FNM = 0.4×0.15×0.45 = 0.027
NFM = 0.15×0.4×0.45 = 0.027
NMF = 0.15×0.45×0.4 = 0.027
Then add all the probabilities we have 0.027×6 = 0.162
Male - Female - No Voice
Male - No Voice - Female
Female - Male - No Voice
Female - No Voice - Male
No Voice - Male - Female
No Voice - Female - Male
For each combination, the probabilities are
MFN = 0.45×0.4×0.15 = 0.027
MNF = 0.45×0.15×0.4 = 0.027
FMN = 0.4×0.45×0.15 = 0.027
FNM = 0.4×0.15×0.45 = 0.027
NFM = 0.15×0.4×0.45 = 0.027
NMF = 0.15×0.45×0.4 = 0.027
Then add all the probabilities we have 0.027×6 = 0.162