SOLUTION: Hi! I have a probability question: A family has three children. What is the probability that one is boy given that one is a girl? Thank you for your help!

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Question 435553: Hi!
I have a probability question: A family has three children. What is the probability that one is boy given that one is a girl?
Thank you for your help!
Found 2 solutions by scott8148, robertb:
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the possibilities for the two remaining children are ___ GG, GB, BG, BB

2 out of 4 possibilities have one boy

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The following list gives the sample space (assuming no multiple births!)
BBB
BBG
BGB
BGG
GBB
GBG
GGB
GGG

There are 7 sample points where there is at least 1 girl. Of these seven , there are 6 elements where there is at least 1 boy. Hence the probability that one is boy given that one is a girl is 6/7.