SOLUTION: 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.
Does it change your c
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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.
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).
Does it change your calculation of the probability if you are told the additional information that Charles is the older child?
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.)
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Look at the possible outcomes: BB, BG, GB, GG
Two of them are boy/girl.
.
.
.
No, because then the younger child is either B or G so,
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