Out of my ass lol just for the examples sake. I also realize it would’ve been easier to say a 6 sided die, but I just woke up so leave me alone 😅

In the scenario you gave, the reason that it doesn’t increase the probability is the because the other sides don’t go away after rolling. For example, if you roll a 10 on a sixteen sided die, that 10 still stays on the die for any subsequent roll attempts, so the amount of sides stays the same, and each number has a 1/16 chance of being rolled.

Probability can change in certain situations, for example a raffle. If 200 names are put in a hat, and one Is drawn, that name is now removed, and your name has now got a 1/199 chance of being drawn. Make sense?