What you get from a random deal
A million rolled boards per variant: how many words a normal deal hides, what it scores, and — put your own score in — how much of a board that really is.
What a typical board holds
A million boards per variant, rolled uniformly at random and solved exhaustively. "Words" means every distinct word a perfect solver can trace under the official rules — three letters and up on Classic, four and up on the bigger trays — not what anyone finds in three minutes. These are the medians, because the mean board is a good deal richer than the middle one; the shape that causes that is two sections down.
How many words does a random deal hold?
Distinct words per board across 1,000,000 random deals of each variant, for the dictionary picked above. The vertical scale starts logarithmic — each gridline down is 10× rarer — so the long right tail of jackpot boards stays visible; the log/linear buttons switch it. Colored ticks on the baseline mark each variant's mean; the dot ending each curve is the wordiest deal of its million, which is not always the richest one.
Words-per-board frequency, 1M deals per variant
How much of the board do you take?
Words are only half the story — a board's points are what you actually play for. Below is the same million deals scored the official way. The distribution has a long rich tail: the mean board is worth 12–18% more than the median one, and the best deal of the million is eight to twelve times the median. Put your own typical score in and see how much of a board that really is. Everything here ranks boards by how rich they are — we have no data on other players.