The paper that is referenced on Wikipedia said that 82-91% are solvable. However, that does not equal winnable.
Why?
Because frequently you have multiple plays you can make at the same time. The order of plays is important, and since cards are hidden, you can’t anticipate what cards are going to show up.
That’s why “thoughtful” Klondike has a high success rate. It’s playing with knowledge of what all the cards are.
I don’t think anyone has calculated what the official odds of “non-thoughtful” Klondike is, but my experience is it sits somewhere around 5%.
By “blocked game”, do you mean a game where you can’t make any moves at all, either on the beginning board or through the deck? If so, it’s really strange you bring that up… it happened to me today while playing Klondike on my ipod, and it dawned on me that a game like that is probably much rarer that a winning game. Not that I have any statistics to back that up; it just seems to me I remember winning many games, but I don’t remember many games where I haven’t been able to make even one move.
Yep. I looked at the tableau and couldn’t make a move. I had something like 6 black cards, one red card, and no aces. I then proceeded to run throught the deck and none of my cards was useable either.
I think the academic paper I mentioned above said blocked games happen less than one percent of the time.