The balls in a bag experiment is exactly the kind that does use hidden variables that are local. No information has to be transmitted in either direction. Bell

The balls in a bag experiment is exactly the kind that does use hidden variables that are local. No information has to be transmitted in either direction. Bell showed that the correlation is even greater than you can get using that sort of thinking. Reality is more like this: Bob and Alice each get a pair of bags, one black and one white. They open one of the bags in which they get either a red ball or a blue ball. If they both choose the white bags, their balls are different colors. However if either or both of them choose the black bag, the colors of the balls are the same. If you think about it, there's no way to put the balls in the bags to satisfy these conditions in all cases. This is a simplification of what's going on with Bell's theorem.