We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
90
1
avatar

We know there are 100 members and currently there are 48 Democrats and 52 Republicans. Use this information to answer the following. Step 1 of 5: What is the probability that a random committee of 6 will contain all Democrats?

 Feb 24, 2019
 #1
avatar+5224 
+1

\(\text{The number of Democrats selected out of 6 is a random variable having a binomial distribution}\\ \text{with parameters }n=6,~p = \dfrac{48}{100}=\dfrac{12}{25}\\ p[6] = \dbinom{6}{6} p^6 = \left(\dfrac{12}{25}\right)^6 = \dfrac{2985984}{244140625} \approx 0.01223\)

.
 Feb 25, 2019

15 Online Users

avatar