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One hundred fifty six words begin with U, and the UN prefix takes nearly half of them.
N takes the second box in seventy three of the one hundred fifty six, forty seven percent. R follows on twenty six, with P on thirteen, L on twelve and M on eleven.
So the first question on this page is whether the second letter is N. Answer it and you have either the large branch or a much smaller remainder.
UNDER, UNTIL, UPSET, USAGE and URBAN are the entries most likely to be wanted, with UNION, UNITY and USUAL behind them.
Most of it is the prefix attached to a short stem. UNBAG, UNBAR, UNBED, UNBID, UNBOX, UNCAP and UNCUT are all built the same way and none is a word you would produce.
So the largest branch holds a small fraction of its useful vocabulary. UNDER and UNTIL are most of what matters inside it.
E and A take the fourth box in seventy one of the one hundred fifty six between them, which is the most reliable fact here.
The last box is unusually flat, with E on twenty two, D on eighteen and T on seventeen. Only six words repeat a letter, so a visible double narrows this page sharply.
It is the strongest assumption on any letter page at forty seven percent. But UPSET, URBAN and USAGE show the other branches are live.
UN attaches freely to short verbs, producing valid entries like UNBAG and UNCAP that nobody would guess. They inflate the count without adding options.
Six, which is four percent. That is very low, so a double is a strong signal on this page.