From families with three children, a child is selected at

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QUESTION:

From families with three children, a child is selected at random and found to be a girl. What is the probability that she has an older sister? Assume that in a threechild family all sex distributions are equally probable. Hint: Let G be the event that the randomly selected child is a girl, A be the event that she has an older sister, and O, M, and Y be the events that she is the oldest,the middle, and the youngest child of the family, respectively. For any subset B of the sample space let Q(B) = P (B | G); then apply Theorem 3.3 to Q. (See also Exercises 15 and 16.)

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QUESTION:

From families with three children, a child is selected at random and found to be a girl. What is the probability that she has an older sister? Assume that in a threechild family all sex distributions are equally probable. Hint: Let G be the event that the randomly selected child is a girl, A be the event that she has an older sister, and O, M, and Y be the events that she is the oldest,the middle, and the youngest child of the family, respectively. For any subset B of the sample space let Q(B) = P (B | G); then apply Theorem 3.3 to Q. (See also Exercises 15 and 16.)

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There are given that three children in a families and a child is selected at random and found be a girl

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