[support] View with one random of the latest 10 posts

Hi! Is it possible with views to have a block that shows only one node (of a defined node type) from the latest 10? On the front page I want to show this block so there is new/different content every time but never very old content. If I'd just use the random sort criteria it would also show years-old posts. New nodes of this type will be added on an irregular basis, so I can't filter the view by post date. I'd be grateful for any hint.