Unique Google question

DawsonAndrew

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Nov 21, 2021
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This started as me Googling a question I was curious about but I had a question with the answer so here I am.

I was trying to find out what the odds are you will break a bone in your lifetime on Google and someone said there is a 2% chance of breaking a bone in any given year. Which I will assume is true. But using that logic he said so there would be a 20% chance you would not have broken a single bone by 80, which I can't tell if that's true because I can't figure out how he calculated that.

Any help with an explanation would be great thanks!
 
Assuming the events are completely independent I get a similar answer (19.865%). A hint: what are the chances of not breaking a bone in 1 year? In 2 years?
 
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