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In one country they prefer only boys to have. If it is a girl in the
first birth then there must be the other child to have,
if it is also a girl then they will go for the next birth and stops when
they got the boy. Then what is the proportion of
girl to boys in that country?
(n+1)/2:1


  
Total Answers and Comments: 2 Last Update: May 30, 2008     Asked by: ramaa 
  
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 Best Rated Answer
Submitted by: man12
 

First birth is Girl, Second is Boy 1:1

First, Second is Girl, Third is Boy 2:1 (1+1):1

First, Second, .......nth is Girl (1+2+...n):1

Ratio of Girls : Boys is (1+2+3+......+n):1

= n(n+1)/2:n



Above answer was rated as good by the following members:
selvakumar2009
September 18, 2007 10:07:50   #1  
man12 Member Since: July 2007   Contribution: 1    

RE: In one country they prefer only boys to have. If i...

First birth is Girl, Second is Boy 1:1

First, Second is Girl, Third is Boy 2:1 (1+1):1

First, Second, .......nth is Girl (1+2+...n):1

Ratio of Girls : Boys is (1+2+3+......+n):1

= n(n+1)/2:n


 
Is this answer useful? Yes | NoAnswer is useful 1   Answer is not useful 0Overall Rating: +1    
September 18, 2007 15:44:32   #2  
Abhiram Kasina        

RE: In one country they prefer only boys to have. If i...
Its a standard probability question
Let r = boys:girls ratio
P(having 1 boy 1 girl) = P(girl in first attempt)P(boy in the second)

= 0.5*0.5

= P(r=1)
P(2 girls, 1 boy) = P(girl in first attempt)P(girl in second attempt)P(boy in the third)

= 0.5*0.5*0.5

= P(r=2)

generalising...
P(r=n) = (.5)^(n+1) ^ stands for exponent
Expected value of r is given by
Integral (n((.5)^(n+1))) dn
Limits 0 to inf
which evaluates to 2.081368981005607797869581603735
So girls are almost double in number than boys

leave it if its too complex...
& @ Studs do drop in a mail if I am mistaken somewhere

 
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 Related Questions

In one country they prefer only boys to have. If it is a girl in thefirst birth then there must be the other child to have,if it is also a girl then they will go for the next birth and stops whenthey got the boy. Then what is the proportion ofgirl to boys in that country?
(n+1)/2:1  
Read Answers (2) | Asked by : ramaa


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