Suppose I have an event with probability p, what is the probability of this event never occurring infinite number of times. For example; what is the probability of someone rolling a dice and guessing the number wrong infinite number of times.
2026-03-30 08:16:29.1774858589
Probability of guessing incorrect infinite number of times
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If the events are independent and $0 < p < 1$, then P(the event occurs infinitely often) and P(the event fails to occur infinitely often) are both 1, by Borel-Cantelli.