FreeCell is the thinking player's solitaire. Every card is face up from the start, so there's no luck of the draw at all — and famously, all but one of the original Microsoft FreeCell's 32,000 deals are solvable. If you lose, you made a mistake.
You get four free cells to park single cards in, which is what lets you move sequences around. How many cards you can move at once depends on how many free cells and empty columns you have, which is the game's central constraint.
Almost. Of the 32,000 numbered deals in the original Microsoft FreeCell, exactly one — game #11982 — is unsolvable. In general, well over 99% of random deals can be won.
It depends on your free cells and empty columns: (free cells + 1) × 2^(empty columns). With all four cells free and one empty column you can move ten cards.
Yes — tap or drag cards. Nothing to install.