Comprehension Three numbers are chosen at random, one after another with replacement, from the s...

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Comprehension
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 \( (125 / 4) p_{2} \) is
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