The phrase "little chance" means that there is a very small possibility or likelihood of something happening. It suggests that an event, outcome or situation has low odds of occurring and is unlikely to happen.
I guess all of the companies could follow their model and create a product to rip off old people with very little chance of paying a death benefit. (hinermangroup.com)
Stuff that looks, sounds, reads, and performs like everything else in its field today has very little chance of standing out tomorrow. (inc.com)
So, there's very little chance for you to be disappointed if you decide to stay at any of them. (china-hotels.ws)