QJEEAdv21Ma6130: JEE Advanced 2021 Mathematics - Class 12 JEEAdv21Ma6130 Solution: Three numbers are chosen at random, one after another with…

Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p₁ be the probability that the maximum of chosen numbers is at least 81 and p₂ be the probability that the minimum of chosen numbers is at most 40.

The value of $$\frac{625}{4}{p}_1$$ is ___________.