Consider

• A game system with a random success rate of 1% (a) (like a loot drop in an mmo)
• A game system with a random success rate of 1%, pity=100 (b) (pity in this context means the probability of success is changed on your 100th successive failure to 100%)

How long would it take a player to earn an their success given 1 attempt/minute?

The answer for (a) is "infinity" which the community rarely accepts. It is possible (though unlikely) for someone to fail forever, they can. The answer for (b) at most 100 attempts (100 minutes).

Developers can describe (a) as the average player will succeed after a little over an hour (~69 attempts). However the 99th precentile takes about 7.5 hours... and the unlucky 1%? Longer. 1 hour and 7.5 hours aren't in the same ballpark.

Anyone have a solution to cut through the mathplexity? Decisions in their own game design or what they've seen others do? I simply have pities when the odds are worse than 1 in 5 or relegate (a) style probabilities to combat systems (non-reward).

I kind of want to start this discussion because something I’ve always wanted to do is make a video game, even if it’s just a small indie platformer. I’ve even gone so far as to plan out an entire game universe timeline with fleshed out characters and factions, but I have no point of reference on where to start. So, how do you start this process and where are some resources to learn?