SOLUTION: A family has three children. What is the probability that one is a boy given that one is a girl? What I did is 1/2 * 1/2*1. Is that right?

Algebra ->  Probability-and-statistics -> SOLUTION: A family has three children. What is the probability that one is a boy given that one is a girl? What I did is 1/2 * 1/2*1. Is that right?      Log On


   



Question 435911: A family has three children. What is the probability that one is a boy given that one is a girl? What I did is
1/2 * 1/2*1. Is that right?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A family has three children. What is the probability that one is a boy given that one is a girl? What I did is
1/2 * 1/2*1. Is that right?
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Sample Space:
bbb
gbb;bgb;bbg
bgg;gbg;ggb
ggg
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1 is a girl: 7 ways
1 is a boy: 6
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P(1 boy |1 girl in family of 3 children) = 6/7
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Cheers,
Stan H.
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