No, I agree that independence is necessary, not just because of “always”, but because if, as a crude example, your odds of hitting B halve each time you hit A, an infinite number of tries isn’t guaranteed to give you Shakespeare, even if the odds aren’t technically 0. My problem was that what you originally described wasn’t independence, it’s uniformity, which isn’t a prerequisite. And it’s up to 9 upvotes now so I don’t know what’s going on.
It wouldn’t. A tetrahedron has four sides, hence the name, while an Egyptian-style pyramid has five (if you include the base, otherwise it isn’t even a polyhedron).