i was just wondering (theoretically thinking), if I had to pick "option 1" from an infinite amount of options and my pick was random and I have an infinite amount of time (kind of like taking a ball from a bag, don't know which one is which) but I have to get exactly "option 1" and not any other.
Is their any physical chance that i will ever get the option i want or is it impossible because an infinite amount of options means that your probability is to small to exist?

Just wondering this, it isn't part of my homework or textbook.
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 In general, if there are infinitely many events and you are considering the probability to select finitely many, then the probability is zero. Else way, it is the density of the set of selections in the set of events. Given that you have infinite time though, you will absolutely pick option 1. Same goes with all other finite sets of options. If you had finite time, then we could not say the same.
 Mentor Blog Entries: 8 Everything depends on the actual probability distribution. How likely is it to pick option 1?? Also, are you working with countable infinite or uncountable?? These things are needed to give a suitable answer to your question.

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