Most dynamic pages like that are canonicalized, which tells Google to give credit of the:
page/?posts=1 version to
page/ version
If you want to share a specific example I can view the source code and confirm.
If you really want to still noindex it the easiest way would be to do so in the robots.txt.
Disallow: /*?posts=
That would allow the /page/ url but not anything that has ?posts.