Question 1205263: From your class of 20 female and 30 male total students the department head wants to select 5 female and 7 male students for the purpose of a specific meeting so whats What is the probability that 6 male and 3 female students to be included in to the meeting
Found 3 solutions by greenestamps, Edwin McCravy, ikleyn:
Answer by greenestamps(13203)   (Show Source):
You can put this solution on YOUR website!
Defective post....
Are 5 female and 7 male students being selected? Or are 6 male and 3 female students being selected? Or are those two separate problems?
If you want help with your question, write your post in a way that we know what the question is.
Re-post....
Answer by Edwin McCravy(20060)  (Show Source):
You can put this solution on YOUR website!
As you have stated the problem, the probability is 1, because since there are 7
males, there are of course 6 males, and since there are 5 females there are of
course 3 females.
So you left out the word "particular". Your question should be:
What is the probability that 6 PARTICULAR male and 3 PARTICULAR female students
ARE included in  the meeting.
So the 20 females consist of 5 particular females, and 15 non-particular females.
And, the 30 males consist of 6 particular males, and 24 non-particular males.
The number of successful choices are
1. Choose all 3 particular females 1 way and 2 non-particular females
C(15,2)=105 ways.
2. Choose all 6 particular males 1 way, and 1 non-particular male C(24,1)=24
ways.
That's (105)(24) = 2520 successful ways.
The number of possible choices are
1. Choose any 5 females C(20,5)=15504 ways.
2. Choose any 7 males C(30,7)=2035800 ways
ways.
That's (15504)(2035800) = 31563043200 possible ways.
So the probability is 2520/31563043200 which reduces to
7/87675120 or about 0.00000008
Edwin
Answer by ikleyn(52853)  (Show Source):
You can put this solution on YOUR website! .
How this problem is presented in the post, it recalls me a sock turned inside out.
It is a style, in which 40% or 50% of incoming messages are written.
It's like it's the era of dinosaurs.
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