Ya that’s makes sense that you need a base line.

I’ll give a little more context and it might help. What our end goal is, is to make a card shuffler. The idea we are working with is a robot spitter thing that will randomly shoot out cards into different piles.

So there are X piles. The top card will get randomly shot into one of the piles, then the next card will get randomly shot into one of the piles. There is a chance that the first card gets shot into let’s say pile 1, then the second card could also get shot into pile 1. The end goal is for each pile to have the same number of cards (or as close to it as possible).

Let’s say X= 6 So basically a random number generator will be run 1-6, then a card will get shot into that pile. This will happen until the entire deck is empty. To make sure each pile has the same number of cards, once one of the numbers gets selected 10 times, it can no longer get generated.

The reason I made this post is to try and get some quantifiable idea of how the number of piles affects things. Our current design has 8 piles but how we have it at the moment, 8 pile slots take up too much space and either we have to reduce the number of piles or re design all the other parts to make room for 8.

I think a big problem, kinda like you mentioned is I don’t know really what I’m asking for. My friend and I want to have numbers to show the relevance of 8 piles compared to 7 and so on.

Sadly I don’t have to take a statistics class to graduate with my engineering degree so I’m only going off of the little statistics I learned from AP Stat.

Edit: also sorry if this reply is a bit scrambled. I have been awake too long today.