Need helping making something like a confidence Interval.

#1
Lets say you play a game. (Like Rolling a Rigged Dice)
The Chances of different event occurring in the game are:
Event A - 5%
Event B - 12%
Event C - 12%
Event D - 25%
Event E - 46%

Total = 100%

I am trying to make statistic that shows how many times will i have to play the game for Event A to occur atleast once with a 99% certainty.
So something like a confidence interval.

Thank you.