Answer
$0.066$,
$0.181$,
$0.029$
Work Step by Step
The total outcomes of selecting 3 from 100 is $_{100}C_3$=161700
what is the probability that they will all be Republicans?
Choose 3 from 41 Republicans: $_{41}C_3$=10660
$p=10660/161700=0.066$
What is the probability that they will all be Democrats?
Chose 3 from 57 Democrats: $_{57}C_3$=29260
$p=29260/161700=0.181$
What is the probability that there will be 1 from each party, including the Independent?
Choices $2\times41\times57=4674$
$p=4674/161700=0.029$
