I got this question wrong on my test, and I just can't understand why. I was supposed to translate this sentence into sentential logic. (I posted it in discrete math b/c there is no section for logic, but logic is covered in discrete math)

** Sentence:**
If my

**p**lans work out, then even though I got a

**D** on the first test I will go into the final with a

**g**ood average. (use P,D,G as propositions)

** My translation:** ** Expected translation:** &

On the answer key, my professor added a note which said "even though" = "and"

I guess when I read it, "even though I got a D" means that I already got a D, so getting a D must be true regardless of what my plans are. So in my interpretation, D is always true (because it already happened). In his interpretation, D is true if P is true, meaning both P and D could be false.

I want to go argue the point with him, but I figured I'd see what you guys think first, b/c you guys are considerably more educated than I am. Also, if you disagree with me, can you post an easy to understand reason why, and if you do agree with me, can you suggest a method of validating my interpretation.