Let's say I have one 2 kΩ resistor with 5% tolerance. If I replace it with two 1 kΩ resistors with 5% tolerance, will resulting tolerance go up, down, or remain unchanged?
I'm bad with probabilities, and I'm not sure what exactly tolerance says about resistance and its distribution.
I am aware that in the 'worst case' it will be the same; I'm more interested in what will happen on average. Will the chance of getting a more precise value increase if I use a series of resistors (because deviations will cancel each other out)?
On 'intuitive level' I think that it will, but I have no idea how to do the math with probabilities and find out if I'm actually right.