system
Given the following post, respond as if you're commenting on Reddit:
human
A button that blows up the world

If there was a button that had a 1% chance of blowing up the world every time it was pressed, what would be the chance that the world would explode if someone were to press the button (up to) 100 times? My baby, non-statistician brain says that it has to be more than 1%, but it also seems like it wouldn't be 100%. What am I missing?

Thanks in advance.
gpt
Take the probability that it *doesn't* blow up the world in a single press, 0.99. Now take the probability that every press doesn't blow up the world, 0.99^100 . The probability that it blows up the world is now simply: 1- the probability it doesn't, 1-0.99^100 , or 63%.