I have found out that the limit for probate in CO is $50,000. But, which assets are included ? Do savings held jointly count towards the amount? There are no real property assets only cash in my name and my single parent's name.

I am not an atty and I don't know what you mean by "limit for probate in CO is $50,000." Does that mean that a deceased person's estate is not subject to probate if it's value is less than $50,000 ? I think that's what you meant to say but regardless since the savings acct was held jointly, I also surmise that when you say jointly that the acct name read "Your name AND or is it "your name OR"? If the savings acct was "your name OR" rather than AND, then you simply show your ID to the bank and withdraw the money if that's what you wish to do. If it's an AND situation, then, that's a different matter and perhaps part of the acct now belongs to the deceaseds estate. Cash is a "bearer" type instrument, meaning that if you find a $ 20.00 bill on the street, you can negotiate it, therefore, the deceased's person's cash is now your cash if you are the sole heir to the estate and if I was correct in assuming that you need not probate an estate valued at less than $50,000.