In the board game Citadels, the players pick one of the 8 special roles every turn. Every role has unique powers. However, you are at a big disadvantage if the other players can guess correctly which role you have. And it turns out that some people (e.g. my partner) are especially good at guessing my behaviour, even when I am trying to do something unpredictable.
So what I do often is choosing the role card randomly, taking the card face-down, communicating this way to the others that I have no clue which role I am getting. I found it to be a surprisingly good strategy
This is done in poker, as well. “Betting blind”- also see so-called “straddle bets”, which have similar effects as a secondary aspect of their use.