document.write( "Question 975891: Suppose you hear that a family has two children, but you do not know the gender of either child. What is the probability that they have a boy and a girl.
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\n" ); document.write( "Does it change your calculation if you are told that one of the children is named Charles? (Charles is a boy, but we don't know if Charles is older or younger than his sibling).
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\n" ); document.write( "Does it change your calculation of the probability if you are told the additional information that Charles is the older child?
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\n" ); document.write( "Explain, in terms of probability theory, how you reached your conclusions. The concept of the Sample Space will be key to understanding the solution. (For the purposes of this question assume that a child is equally likely to be a boy or a girl and that the genders of children in the same family are independent of each other.) \n" ); document.write( "

Algebra.Com's Answer #597642 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( "Look at the possible outcomes: BB, BG, GB, GG
\n" ); document.write( "Two of them are boy/girl.
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\n" ); document.write( "No, because then the younger child is either B or G so,
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