Consider $A=\{1,2,3,4,5\}$. find k such that $P(k)>\frac{4}{5}$

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Consider $A=\{1,2,3,4,5\}$. And also suppose $P(x)=${probability such that all member of "$A$" have been chosen after that one person choose member of $A$ randomly $x$ times }.

Find $K$ such that $P(K)>\frac{4}{5}$