I roll almost everything out in the open for my Swords And Wizardry game. That includes monster hit points, monster to hit rolls, monster saves and random encounter rolls.
The random encounter roll is one that my players metagame all the time. If they make noise trying to break down a door in a monster infested dungeon, I roll the random encounter die and they pick up on it immediately. I tell my players what their rate of travel is overland or through a dungeon and roll the random encounter die as we go along. This is information the players know but their characters may not. It is valuable information for the player.
As I am always going on about, RPG’s are games not stories so the people playing the game may have information that their characters do not and as far as I’m concerned, that’s perfectly reasonable. The frequency of random encounter rolls tells the players just how dangerous a given area is and this is information that they can use to make decisions. I am providing them agency over their character by giving them information and not even speaking.