/sci/ - Science & Math

This is probably really simple but I can't find an answer online. I keep on applying it to rolling two dice (like how 7 is the most common) but I'm not sure.

Say I have a population that has two variables, x and y. Both variables are UNIFORMLY distributed. If I combine both variables (by adding them together) do I end up with a normal distribution?

So with the dice example you have an equal chance of getting a 1-6. But roll two dice and now 7 is the most common, 6 is second most, 5 is third most etc.

I know it's true for dice but can it be applied with everything?