+0  
 
0
351
1
avatar

The science club has 25 members: 10 boys and 15 girls. A 5-person committee is chosen at random. What is the probability that the committee has at least 1 boy and at least 1 girl?

Guest Jun 13, 2017

Best Answer 

 #1
avatar+87309 
+1

 

The total number of committees that can be formed = C(25,5)  = 53130

 

And from this we just want to subtract all the commitees that can  be formed solely of boys  = C(10,5) = 252 and all the committees that can be formed solely of girls  = C(15,5)  = 3003

 

So.....the probability of a committee with at least one boy and one girl  =

 

[ 53130 - 252 - 3003] / 53130  = .9387  = 93.87%

 

 

cool cool cool  

CPhill  Jun 13, 2017
 #1
avatar+87309 
+1
Best Answer

 

The total number of committees that can be formed = C(25,5)  = 53130

 

And from this we just want to subtract all the commitees that can  be formed solely of boys  = C(10,5) = 252 and all the committees that can be formed solely of girls  = C(15,5)  = 3003

 

So.....the probability of a committee with at least one boy and one girl  =

 

[ 53130 - 252 - 3003] / 53130  = .9387  = 93.87%

 

 

cool cool cool  

CPhill  Jun 13, 2017

6 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.