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SEAMO 2027 - Paper D - SET 05 - Self-study Question 16

SEAMO · SEAMO 2027 - Paper D - SET 05 - Self-study

Question 16

Miss Mooney has three children. You see her with a little girl, whom she introduces as her middle child. Compute the probability that her other two children are girls, assuming that each child has probability $1/2$ of being a girl.

Practice probability model: the sexes of the three children are independent, each equally likely to be girl or boy; identifying the middle child introduces no further selection bias.
  1. $1/4$
  2. $1/2$
  3. $2/3$
  4. $3/4$
  5. None of the above