This shows up a lot (predictably) in actual games, e.g. Hearthstone sells you digital cards, and the randomization specifically guarantees that the time between

This shows up a lot (predictably) in actual games, e.g. Hearthstone sells you digital cards, and the randomization specifically guarantees that the time between rare cards is capped [1]. Having unusually bad luck (e.g. opening 100 packs and not getting a single legendary card, when the average would be every ~20 packs) feels bad and probably loses Blizzard a customer, so the solution is to cut off the downside tail of the distribution. [1] https://www.reddit.com/r/hearthstone/comments/3z7jyh/pity_timer_on_packs_opening_and_the_best_strategy/ https://www.reddit.com/r/hearthstone/comments/3z7jyh/pity_ti...