Each of those "exiling" effects is reminiscent of Jester's Cap, and they can be seen as descendants of the classic Ice Age artifact
If your collection of Magic tokens has gaps, the most common thing is probably to use a die, often on a face-down sleeved card to indicate that its a game object, not a time counter or some other marker
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That said, game play demand often beats edition in the long run
To calculate this myself I used this hypergeometric calculator
When MTG had a big crossover with The Lord of the Rings, we had the famous The One Ring card
