Deductive/inductive logic?

Your child is trying to prove that she did not steal chocolate chip cookies from the cookie jar, heres her argument: “There are no chocolate stains on my hands, so I couldn’t have stolen the cookies.”
1) Does this example require deductive or inductive logic?
2) What are the premises?
3) Are the premises stated or unstated?
4) What is the argument’s conclusion?
5) In your opinion, is this a convincing argument? Why or why not?

Answer:
The unstated premise is "You can't steal chocolate chip cookies from the cookie jar without getting chocolate stains on your hands."

The child proves she has no stains on her hands. Therefore, by deductive reasoning, she couldn't have taken the cookies.

Not a convincing argument, because the premise is false. You CAN take the cookies without staining your hands. Or you can clean your hands afterwards.

Of course, this doesn't prove that she DID take the cookies. But there is still the possibility that she did.

If cookies are gone, and if only two people had access - either you or she had to have taken them - and if you're certain is wasn't you, then it had to be her. This is inductive reasoning...checking the evidence before drawing a conclusion.
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