Probability of pulling from urn.

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If there is an urn containing n element, indexed from $1$ to $n$, what is the probability of pulling the $k^{th}$ on the $k^{th}$ try? Should I have a an event $A = A_1 \cap A_2 \cap ... \cap An$, where $A_i$ means that it $i$ indexed ball was pulled at the $i^{th}$ try? I'm confused