SOLUTION: A committee of four people are to be chosen from six Democrats and four Republicans. Find the probability that two are Democrats and two are Republicans. Express your answer as a f

Question 537502: A committee of four people are to be chosen from six Democrats and four Republicans. Find the probability that two are Democrats and two are Republicans. Express your answer as a fraction reduced to lowest terms
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A committee of four people are to be chosen from six Democrats and four Republicans. Find the probability that two are Democrats and two are Republicans. Express your answer as a fraction reduced to lowest terms
----
# of ways to succeed: 6C2*4C2 = 15*6 = 90 ways
---
# of randomly chosen committee: 10C4 = 210
---
P(2Dems and 2Reps) = 90/210 = 9/21 = 3/7
========================
Cheers,
Stan H.
========================
RELATED QUESTIONS
A committee of four people is to be selected from six Democrats and four Republicans.... (answered by solver91311)

A city council consists of six Democrats and five Republicans. If a committee of six... (answered by Boreal)

In how many ways can a subcommittee of five be chosen from a Senate committee of six... (answered by ewatrrr)

a city council consists of seven democrats and six republicans. if a committee of six... (answered by robertb)

in how many ways can a subcommittee of four be chosen from a Senate committee of five... (answered by Boreal)

A city council consists of seven Democrats and seven Republicans. If a committee of six... (answered by ikleyn)

A city council consists of five Democrats and six Republicans. If a committee of four... (answered by greenestamps)

A city council consists of 10 members. Four are Republicans, three are Democrats, and... (answered by Boreal)

A city council consists of 10 members. Four are Republicans, three are Democrats, and... (answered by Alan3354)