My six year old son has been into playing UNO recently. It's been fun. Of course now I am curious if there are optimal strategies to win. I came across this paper,
UNO is hard, even for a single player,
https://www.sciencedirect.com/science/article/pii/S0304397513008670#en0100 .
The math was outside my expertise, but the title of the paper sounds about right to me!