# Boys and Girls

Consider a family of $$n$$ children. Define the events $$A$$ and $$B$$ as follows.
$$A$$ is the event that the family has both boys and girls.
$$B$$ is the event that he family has at most 1 girl.
Find the value of $$n$$ such that events $$A$$ and $$B$$ are independent.

Assumptions and Clarifications

• Probability that a randomly selected child is a boy or girl is same.
• Two events are independent if occurrence of one does not affect the probability of the other.
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