This is why, when someone asks me to pick a random number, I try to think of some random process going on in my surroundings, and from there derive the random number.
That's very cool. Do you have any examples? It's the kind of thing you can't give much thought to on the spot
A common tactic for Poker players who want to make some of their actions in a common scenario random (call in one instance, or perhaps re-raise instead) is to look at their wrist watch, and depending on where the second hand is they can simulate a coin flip or a dice roll.