Well given that the odds for just getting a thousand presses before the piggy bank breaking is pretty much zero, (zero as in you wouldn't be able to find one even if you were able to press piggy banks every second for the rest of your life).

According to cnbc "The odds of winning the Powerball jackpot by matching all numbers with the five white balls and red Powerball drawn are 1 in 292,201,338"

Finding a piggy bank with 88 uses before breaking is rarer than that (assuming 20% break rate).

In theory a cosmic ray could hit cipsofts server in just the right place that it would flip a critical bit controlling the piggy banks odds ratio making it never break.

That would in fact be much likelier than zero. Which is the answer for your exponential function approaching infinity.