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TopicHelp me understand your reasoning in solving the following easy problem
yutterh
04/05/17 11:22:16 PM
#69:


Sahuagin posted...
the number of possibilities of having two children (or flipping two coins) is 4.

the question is really: how many possiblities does the phrase "at least one of them is a girl" exclude?

"at least one of them is a girl" translates into "they are not both boys"

"they are not both boys" excludes exactly 1 of the 4 possibilities

the chance is 1/3

people that say 1/2 are mistaking "at least one of them is a girl" to be as much information as knowing "the first child is a girl" (or "the second child is a girl"; the ambiguity is an indication of the lack of information)


But that is already cut down because we know one is a girl. GB is the exact same as BG, you guys are adding to much complications on to this. Who ever is the first born does not matter. Why are you guys bringing that into this? it is actually

GG
BB
GB

Having two GB is ridiculous. The BB gets cut down and we are left with GG or GB. Now if the question was what is the probability of the girl being born first or something then yeah. But this is such a easy question being torn apart by mathmaticians lol.
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