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Nineteen words put T first and B third, and almost all of them open TAB or TUB.
A takes the second box in ten of the nineteen, fifty three percent, and U takes eight. Only TIBIA uses anything else, so the second box is effectively a coin flip.
TABLE is the most common word here and TABOO is close behind. TABOR, TABER and TABES fill out the A branch, with TABBY and TABLA alongside.
TUBES, TUBER and TUBED are the useful U entries, and TUBBY joins them with a doubled B. TUBAE, TUBAL, TUBAR and TUBAS are the plural and adjective forms you would not reach for.
The two branches mirror each other closely. TABBY and TUBBY differ in one box, as do TABER and TUBER, which means confirming the vowel matters more here than anywhere else on the page.
S closes five of the nineteen, twenty six percent, with R on four. E leads the fourth box on five words.
Three words repeat a letter, TABBY, TUBBY and one more, so a visible double leaves you a short list rather than an answer.
TABLE is the more common word, but TABOO tests O at the end where almost nothing else here lands. Either splits the page reasonably.
Only in the second box. TABES and TUBES do the same, so the vowel is the question this page really turns on.
A pair of hand drums. It sits in the A branch and is the only word here ending in LA.