Three numbers are chosen at | Probability |JEE ADVANCED 2021

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JEE Advanced 2021

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Three numbers are chosen at random, one after another with replacement, from the set $S=\{1,2,3, \ldots, 100\}$. Let $p_1$ be the probability that the maximum of chosen numbers is at least 81 and $p_2$ be the probability that the minimum of chosen numbers is at most 40.
The value of $\frac{625}{4} p_1$ is $\_\_\_\_$ .

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