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Thirty two words put F first and L third, and ten of them repeat a letter.
I takes the second box in thirteen of the thirty two, forty one percent, O takes eight and E takes seven. A and U take two each and nothing else appears there.
Those three main branches are close enough that the second box alone will not finish the job, though it does rule out every consonant before you start.
FILED, FILER, FILES and FILET sit on one stem, and FILLS, FILLY and FILLE add a doubled L to it. FILCH, FILMS, FILMY and FILTH round out the branch and are the ones worth guessing, since they break the stem.
FALLS, FELLA, FELLS, FELLY, FILLE, FILLS, FILLY, FOLLY, FULLS and FULLY all carry it. L takes the fourth box in ten of the thirty two, thirty one percent, which is where every repeat on the page comes from.
S closes nine of the thirty two, twenty eight percent, and Y another seven. Between them they take most of the last box.
FALSE, FOLIO and FILTH are the strongest openings here. None doubles a letter and each takes a different vowel, so between them they cover the page quickly.
Both avoid the doubled L branch and test different vowels. FALSE is the more common word, though FILTH tests the largest branch.
Not really. Ten of the thirty two carry one, so a repeat leaves you a sizeable shortlist rather than an answer.
A threadlike anatomical structure. It sits in the I branch and is the only word here ending in UM.