Q:

Are there any school of thought share the same answer with me to veil of ignorance?

I am in a law school now. The teacher taught us the thought experiment of "veil of ignorance" / "original position" in a Tort Law lecture.
This was my first time hearing such idea.
My answer to the thought experiment is that I choose not to gamble.
Assume I know nothing about the future, my social status, ability, rich or poor, etc. Apply principle of sufficient reason, there is ZERO expected value to be born to the world.
I won't bet on a 0 expected value venture. (By a risk-averse argument)
Under the thought experiment (correct me if I am wrong), I think there is no expressed rule that I can choose not to be born.
Therefore, I find out I will only make a rule of the society:

Everyone must be sentenced to death immediately.

(By some kind of machine if there is no human left in the world)
Under this rule, I can choose not to gamble. 
I am also sure nobody else in the world can gamble. One may win in the game. He will have more power/money/ability than me and then I may envy.
I don't think I am the only one in the field of philosophy who has such answer. Are there any school of thought share the same (or similar) answer to veil of ignorance?

A:

I'm reasonably certain that no established school of thought has brought such a nihilistic perspective to the veil of ignorance.
This seems like a critical misunderstanding of the original thought experiment.  The basic idea is to make decisions that ensure the best outcomes for all by eliminating, as much as possible, the biases of personal self-interest.  It's an extension of the Kantian concept that moral laws must be universal and disinterested.
If your belief is truly that the best outcome is immediate death for all, then no philosophical perspective is going to lead to any different result for you.  Most people, however, would find this utterly morally abhorrent.

