Maths Puzzle - Probability of repeating event infinite times

The video presents a probability puzzle asking for the probability of an event occurring at least once in n attempts, given the probability of the event is 1/n. The solution involves defining a variable X and calculating the probability as 1 minus the probability of the event not occurring in n attempts. The video further explores the limit of this probability as n approaches infinity, revealing a connection to the numerical constant e. The instructor demonstrates algebraic manipulation to show that the limit is 1 - 1/e, approximately 0.632, highlighting the surprising emergence of e in this context.

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