La Belle Lucie is one of the harder solitaire games to play, having a lot of "luck of the draw" in place. It's other names are "The Fan", "Three Shuffles and a Draw", "Alexander the Great", and/or "Trefoil".
It's a single player card game where the point of the game is to transfer all cards from the tableau to the four foundations. The only action taken by the player will be moving a card from one "fan" of many, to another one in descending order (e.g. 7 of clubs on top of 8 of clubs)
From the start all cards are visible in the tableau, but this doesn't mean the game can be won with strategy. More times than not, the game will not be beat because of unlucky draws. Such as kings being the top card of fans, or higher cards being on the bottom of the fan while the higher card of that suit is on top of the fan.