SOLUTION: A panel of 6 members is to be formed from 5 doctors and 10 nurses to include each profession. Find, correct to two decimal places, the probability of selecting the members to inclu

Algebra ->  Permutations -> SOLUTION: A panel of 6 members is to be formed from 5 doctors and 10 nurses to include each profession. Find, correct to two decimal places, the probability of selecting the members to inclu      Log On


   

Question 1196248: A panel of 6 members is to be formed from 5 doctors and 10 nurses to include each profession. Find, correct to two decimal places, the probability of selecting the members to include: (a) equal doctors and nurses; (b) at most two nurses; (c) more doctors than nurses.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.


            In my post,  I will solve only one part,  namely part  (a). 


(a)  "equal doctors and nurses" means "3 doctors and 3 nurses".

     The answer is  P(3 of 5; 3 of 10) = %28C%5B5%5D%5E3%2AC%5B10%5D%5E3%29%2FC%5B15%5D%5E6 = %2810%2A120%29%2F5005 = 0.23976    (rounded).    ANSWER

Solved.

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I do not like to solve many problems in one post, because I think that it is BAD WAY to teach.


By the way, the rules of this forum require ONE problem per post. See the page

https://www.algebra.com/tutors/students/ask.mpl?action=ask_question&topic=Equations&return_url=http://www.algebra.com/algebra/homework/equations/

from which you post your problems.