DSE 2009 Q38

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DSE 2009 Q38

Khagesh
Wats d ans for dis Q:

A family has 2 children, 1 of them is daughter. Wat is d probab that oder child is also a daughter?

I thnk it shld b 1/2 bt ans key says 1/3
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Re: DSE 2009 Q38

Chinni18
Khagesh: The family can have kids as follows: BB, BG, GB, GG
Given that one is a girl, you can eliminate BB
That leaves 3 options
Hence 1/3
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Re: DSE 2009 Q38

Khagesh
Umm kk, bt shldnt it be dat it's 1/2 i mean, d logic ur giving is of combination possible. I mean i thnk d child's sex is independent of his siblings
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Re: DSE 2009 Q38

Chinni18
Okay look at it this way then:
P(both being daughter| One is daughter)
=P(Both daughters) / P(One is a daughter)
=(1/4)/(3/4)
=1/3
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Re: DSE 2009 Q38

aditi5000
In reply to this post by Khagesh
A family has 2 children, 1 of them is daughter. Wat is d probab that oder child is also a daughter?

SS={bb,bg,gb,gg}

P(gg|one is a girl) = P(gg intersection one is a girl)/P(one is a girl) = 1/4 / 3/4 = 1/3
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Re: DSE 2009 Q38

Khagesh
Aah...kk gots its :D

thnx...didnt thnk of it as condt probab!

Btw dre one more prob pending plz if u can solve dat too guys
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Re: DSE 2009 Q38

Chinni18
You're welcome  What problem is that one?
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Re: DSE 2009 Q38

khagesh.batra
Same xam 35 Q

A Co. has 100  emps, with 40 men n 60 women. 6 male exec. No. of female exec for gender n rank independence ?? 

On Mon, Jun 18, 2012 at 8:20 PM, Chinni18 [via Discussion forum] <[hidden email]> wrote:
You're welcome  What problem is that one?


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Re: DSE 2009 Q38

Khagesh
In reply to this post by Chinni18
Same xam 35 Q

A Co. has 100  emps, with 40 men n 60 women. 6 male exec. No. of female exec for gender n rank independence ??
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Re: DSE 2009 Q38

Chinni18
A Co. has 100  emps, with 40 men n 60 women. 6 male exec. No. of female exec for gender n rank independence ??
Let E be the event EXecutive
M=>Male
F=> Female
Let x be reqd no. of female execs
We need P(E/M) = P(E/F)
=> [(6/100)/(40/100)] = [(X/100)/(60/100)]
x= 360/40 =9
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Re: DSE 2009 Q38

Khagesh
Thnxa ton yaar :D
Topper man !! :D :D thnx
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Re: DSE 2009 Q38

Chinni18
Hahahaha thanks Khagesh  Glad to be of help! All the best!!
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Re: DSE 2009 Q38

Khagesh
Same to same to u ;) :D

btw soon i'll b posting doubts abt Eco based q, plz do solve dem too :)
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Re: DSE 2009 Q38

Chinni18
Sure Khagesh, if I am able to solve I will definitely help  

On Mon, Jun 18, 2012 at 8:31 PM, Khagesh [via Discussion forum] <[hidden email]> wrote:
Same to same to u ;) :D

btw soon i'll b posting doubts abt Eco based q, plz do solve dem too :)


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Re: DSE 2009 Q38

Chinni18
In reply to this post by Khagesh
Sure Khagesh, if I am able to solve I will definitely help
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Re: DSE 2009 Q38

Khagesh
N dat marked ur 100th post :P
s
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Re: DSE 2009 Q38

s
In reply to this post by Chinni18
hey for question 38 , while constructing the sample space why do we consider the order of the child being a B or G? you are treating the events like that of coin tosses..as in nothing has been mentioned like for instance if the older child is daughter or anything like that..its rather silly for me to ask this but do we always treat sums like these by keeping in mind the order?....actually i always get stuck with sums like these so it would be really nice if someone can clarify
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Re: DSE 2009 Q38

deepak
I think it's because unlike 2 red balls, 2 sisters can't be considered the same? Just thinkin' aloud
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Re: DSE 2009 Q38

Chinni18
Your reasoning is exactly the reason Deepak
S, you can go through these links, this question is actually a very famous problem in probability, called the Boy-girl paradox
Boy_or_Girl_paradox
Boy or girl paradox
s
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Re: DSE 2009 Q38

s
thanks chinni and deepak

i have another question:
a father has 3 children with atleast one boy.the probability that he has 2 boys 1 girl is_______
answer given is 1/3...but shouldnt it be 3/7? the sample space being {BBB,GGG,BGG,BGB,GBB,GGB,GBG,BGG}