A couple want to have one girl and one boy. What is the expected number of children they will have?

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A couple want to have one girl and one boy. What is the expected number of children they will have?

I know that the answer is 3 and that the question relates to the Negative Binomial distribution but I'm not sure how to solve this. Can anyone explain?

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Maybe negative binomial is overkill here. It’s a geometric+1.

First they will have a child. And then they will keep having more children until they have one of the opposite sex.

So the expectation will be 1 plus the expectation of a geometric, which is 2. So in total 3