Word puzzle
Bob has two children. One of his children is a boy. What are the odds that bob has a daughter?

2/3

assuming neither child is hermaphroditic, i still need more information to answer that question. which one is the transexual?

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50/50.

Nearly 2/3. It would be 2/3 except that the actual chances that any given birth is a girl is not 50%, but about 48.8% (a 100 in 205 chance, since about 105 boys are born for every 100 girls).

mutually exclusive events so stats on births will prevail

There are four possible outcomes for Bob, and to make it simple assume births are 50% boys and 50% girls:
* boy and then girl * boy and then boy * girl and then boy * girl and then girl If we know nothing, each of these have a 25% likelihood. But knowing one is a boy, we can remove the girl/girl possibility and we are left with three options, each with a 1/3 chance of occurring: * boy and then girl * boy and then boy * girl and then boy So in 2/3 of the scenarios, Bob has a girl. 
nice, didn't catch on to the elimination requisite

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But if Sue has two boys, she will always say she has a boy. If she has two girls, she'll always say she has a girl. And if she has one of each, she'll pick one at random and say that. In all of those cases, the odds are equalone in twothat her two children are the same sex. 
The odds that bob has a daughter are 0% (zero percent/nada/zilch/no way Jose).
What assumptions have I made? 
The children are not his.

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His wife "had" the kids. Nobody owns a kid. You know bob personally. 
I'm glad I don't have kids. :p Bob can have as many as he wants.

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No, I don't know him personally. I assume you made him up. In case the 0% solution is 100% wrong, throw me a bone: This family of four is hypothetical, right? Sorry, that was off point. Has anyone else inhaled the coffee dust and crashed to zero? 
I was thinking kidnapper pedophile, but didn't want to stress you parents out.

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