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Re: Probability Quiz

Posted: Thu Jul 17, 2008 3:34 pm
by Navy9
ORGEONES wrote:four possible combination:

boy, boy
boy, girl
girl, girl
girl, boy

first child is a boy, this eliminates,

boy, boy
girl, boy


Answer= 1/2




This was the question: <A random two-child family with at least one boy is chosen. What is the probability that it has a girl?>

Hint 1: at least one boy
Hint 2: We also want girl in the event

Boy, Boy
Boy, Girl
Girl, Boy
Girl, Girl---> This is out

Leaving:
Boy, Boy
Boy, Girl
Girl, Boy

Out of these three events, only two of them had both a boy and a girl thus making it 2/3

If that question was re-phrased into

A random two-child family with one boy is chosen. What is the probability that the other child is a girl?


Boy, Boy----> Out
Boy, Girl
Girl, Boy
Girl, Girl-----> Out

Probability here is 1/2