Is ''even though'' is ''subordinating conjuction''? If is it then why the main clause has ''comma'' after the ''trip''? Please tell which one is ''dependent clause and which one is independent clause?

Paul decided to go on the ski trip, even though he had a broken leg.
Even though he had a broken leg, Paul decided to go on the ski trip.

Both of these are correct. The dependent/subordinate clause is underlined.

Side note: Paul is almost always a male.
... even though HE had a broken leg.

(Unless you are talking about another person, a female whose broken leg might have prevented Paul from going on the trip.)

Anonymous Paula decided to go on the ski trip, even though she had a broken leg.

The comma is not necessary. It was probably added, as commas sometimes are, just to indicate that the second clause (a dependent clause, by the way) was added as a sort of after-thought after a pause in speaking.

CJ