It depends. They are both very common. The 1 7/8 is used more often on light weight trailers, however even the small JetSki trailer I used to pull had a 2 inch ball requirement. So, you likely will just have to wait until you buy a trailer to pull! I would say, just get the 1 7/8 and mount it. If you need the 2" later on, you can just buy the 2" inch ball and switch it out.
I currently have two trailers, a 4x6 utility trailer that uses a 1 7/8" and a 21 foot sailboat trailer that requires a 2" due to the extra weight. I just bought another ball mount and keep the balls mounted. I just switch the ball mount out when I need to change up.
I currently have two trailers, a 4x6 utility trailer that uses a 1 7/8" and a 21 foot sailboat trailer that requires a 2" due to the extra weight. I just bought another ball mount and keep the balls mounted. I just switch the ball mount out when I need to change up.