How should I write this Process?

I notice that the original poster, dwarseck​ , has yet to respond. I can appreciate some of the attempts at answering the original question; one of my goals in giving the response I did was to provide help in articulating the situation. That's a skill in itself, vital in Excel as in many other situations; in Excel, I have found that once I can do that, the solution becomes a lot easier. 

It's do-able but would be quite messy in Excel 2007.

Good question!

You can join together X number of values using TEXTJOIN and you can use RANDARRAY to make a list of random numbers. So, your cell C6 has a "chances" qty, using that, you can make x number of random numbers into a list:

=TEXTJOIN(",",FALSE,RANDARRAY(,C6,1,100,1))

RANDARRAY will regenerate whenever anything is done to the sheet, so, it won't just be static always-the-same numbers. The options are "number of rows" (which I've left blank), number of columns (which is the 'chances'), MIN number, MAX number, and then 'integer' which I've set, so that it only returns whole numbers.

Example:

I agree with mathetes.  At the very least we may help you do whatever you are ultimately trying to do better.  but i believe you want a function to give you an array of rand numbers for each row/person where the 'chances' are the number of elements in the array for that row.  Basically you want RANDARRAY()

=RANDARRAY(1,C5,1,100,1)

I'm not sure what you are hoping for with the red and blue.

On another note, the problem with random numbers in excel is that they will change every time you do anything on the sheet.  so if you want to document the result you will need to take a screen shot or copy and then paste values only to lock the values

I'm quite confident that whatever it is that you're trying to do IS possible.

The problem so far is that you haven't really done a very good job of describing in plain old English just what that task is. You're trying to use Excel-ese to describe, but as you noted, you're a beginner with Excel. It would actually be better if you left the translation to us, and simply used your best English.

A few questions might help, beginning with:

1. WHAT is the start point? It appears as if you're starting with a list of nine people, although obviously that could just be a false inference. You've not revealed any names, just used generic "Person #" so it's also possible that the real task doesn't involve people at all......So please, what's the starting point, or raw Input? What are we beginning with?
2. WHAT is your desired end result? I can assume, staying with the inference that it's a group of individuals, that the goal is the selection of one (or more?) of the starters, but you need to articulate clearly what the desired end result is. As it stands, you've assumed that, and just attempted to describe a "process," a description that gets muddled in part because you're trying to say it in Excel-ese.
3. HOW, in English, as you would describe it to an intelligent middle-school student, are you thinking you'd get from the starting point to the finish point? Along the way, perhaps you could explain to that intelligent young person how Red and Blue comes into the scene, why they're associated with something called a "cutoff"...and so forth.

Again, don't try to put your descriptions in Excel- or Excel-related-terms; that's the task of people here in the forum. Your job is to describe what you'd be doing if you didn't have access to Excel. Maybe that's a good way for you to think about it: what would you do if you were forced to do this all on paper?

If you'd rather work on extending your Excel capabilities--though it may take longer, it's always a great way to really learn--you would do well to look over this page of Excel functions, grouped in to an intelligent set of categories, and accompanied by clear definitions and examples. But even to use it, I'd seriously recommend, for your own sake, working to describe the process in English.