Basically title, this symbol is on the tires of my new (to me) CAAD12. Are the tires on backwards? The right side of the picture is the front of the bike, the left side is the rear. This is the front tire. Another picture below showing which way the tread is facing. The tread "looks" right, it appears it would channel water away from the center correctly.
If I had to guess the arrow shows what direction the tire should rotate in and the correct direction is dependent on whether the tire is in the front or the rear.
This answer is correct, I'm not going to put my brain through the hoops of which way is which from the pics, but roll the bike forward and double check that the front and rear are rotating the appropriate direction, if not flip them. Although I doubt you'd ever actually notice it the rear would be positioned for best traction and the front for least resistance hence the opposite directions