A Senate committee consists of 5 Republicans, 6 Democrats, and 2 Independents. A subcommittee of 3 members is randomly chosen. What is the probability that the subcommittee consists of 1 Republican, 1 Democrat, and 1 Independent?

Guest Oct 11, 2018

#1**+2 **

This is a __multivariate hypergeometric distribution.__

\(P[\{R,D,I\}] = \dfrac{\dbinom{5}{1}\dbinom{6}{1}\dbinom{2}{1}}{\dbinom{13}{3}}=\dfrac{30}{143}\)

Rom
Oct 11, 2018

#1**+2 **

Best Answer

This is a __multivariate hypergeometric distribution.__

\(P[\{R,D,I\}] = \dfrac{\dbinom{5}{1}\dbinom{6}{1}\dbinom{2}{1}}{\dbinom{13}{3}}=\dfrac{30}{143}\)

Rom
Oct 11, 2018