Learn Danish: Tror du at det er typisk? - Do you think that it is typical?

Because at det er typisk is a subordinate clause, central adverbs like altid (always) must go right before the verb rather than after it. So you would say: Tror du at det altid er typisk?

Why use tror here instead of synes, which also means 'think'?

Tror is used when you are guessing or expressing a belief about a fact that you do not know for sure. Synes is used for subjective personal opinions, like whether you think a movie is good. Since you are asking for a guess about a fact (whether something is typical or not), tror is the correct choice.

Why is the beginning of the sentence Tror du instead of Du tror?

In Danish, questions that can be answered with yes or no are formed by swapping the subject (du) and the verb (tror). Since the normal statement is Du tror (You think), the question becomes Tror du (Do you think).

Can I drop the word at (that) just like we sometimes do in English?

Yes! Just like in English where you can say 'Do you think it is typical?', you can often drop at in everyday spoken Danish. Saying Tror du det er typisk? is very common and completely natural.