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Twenty four words put D first and U third, and not one of them repeats a letter. That is worth knowing before you spend a guess on a double.
R takes the second box in nine of the twenty four, thirty eight percent. O follows on seven and A on six. Only five letters appear there at all, so the second box is close to a three way choice.
DRUMS, DRUNK, DRUGS and DRUBS are the reachable ones. DRUID and DRUPE are real but less likely to come to mind, and DRUSE and DRUSY are the kind of word that only turns up in a dictionary.
The O branch holds DOUBT, DOUGH and DOUSE, and those three are the most useful words on the page after the DRU group.
The A branch holds DAUNT, DAUBS and DAUBE. It is smaller and thinner, but DAUNT is common enough to be worth a turn.
E ends six of the twenty four and S another five, which is eleven between them. With both ruled out the pattern collapses very quickly.
Yes, and it still fits the pattern because the B sits in the fourth box. The silent letter changes nothing about where the U falls.
None at all, across all twenty four words. If your puzzle shows a repeated letter, this pattern is ruled out immediately.
The last box only. DAUBY makes a third word on the same stem, so the DAUB group behaves like the DRU group on a smaller scale.