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Q. 3 natural numbers are taken at random from the set $A=\{1,2,3 \ldots \ldots .99,100\}$ with replacement. If the chance that the arithmetic mean of the numbers taken is 25 , is equal to $\left( p / 10^6\right)$ then find the value of $p$.

Probability - Part 2

Solution:

Correct answer is '2701'