Problem

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AUFQR1 7.3.011.
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Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is planning on having three children.

List the elements of the event that the Lins have at least one girl. (Use $B$ to represent boy, and $G$ to represent girl. For example, if there are three girls born, it would be represented as GGG. Enter your answers as a comma-separated list.)
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\(\boxed{'BBG', 'BGB', 'BGG', 'GBB', 'GBG', 'GGB', 'GGG'}\) is the final answer.

Steps

Step 1 :The problem is asking for all the possible combinations of three children where there is at least one girl. This means we need to list all combinations of 'B' and 'G' of length 3, excluding the combination 'BBB' because it does not contain a 'G'.

Step 2 :The possible combinations are 'BBG', 'BGB', 'BGG', 'GBB', 'GBG', 'GGB', 'GGG'.

Step 3 :\(\boxed{'BBG', 'BGB', 'BGG', 'GBB', 'GBG', 'GGB', 'GGG'}\) is the final answer.

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